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Amid Nayerhoda - Google Scholar
<!doctype html><html><head><title>Amid Nayerhoda - Google Scholar</title><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="referrer" content="always"><meta name="viewport" content="width=device-width,initial-scale=1,minimum-scale=1,maximum-scale=2"><meta name="format-detection" content="telephone=no"><link rel="shortcut icon" href="/favicon.ico"><link rel="canonical" href="https://scholar.google.de/citations?user=mjbSqDEAAAAJ&hl=en"><meta name="description" content="Researcher in National Institute for Nuclear Physics - Cited by 3,719 - High Energy Astrophysics - Particle Astrophysics - Neutrino Astrophysics - Gamma-ray astrophysics"><meta property="og:description" content="Researcher in National Institute for Nuclear Physics - Cited by 3,719 - High Energy Astrophysics - Particle Astrophysics - Neutrino Astrophysics - Gamma-ray astrophysics"><meta property="og:title" content="Amid Nayerhoda"><meta 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id="gs_md_err" style="display:none">The system can't perform the operation now. Try again later.</div><div id="gs_md_s"></div><div data-h="0" class="gs_md_wnw gs_md_ds"><div id="gsc_md_hist" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_hist-t" data-wfc="gsc_md_hist-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_hist-x" role="button" aria-label="Cancel" data-mdx="gsc_md_hist" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_hist-t" class="gs_md_hdr_t">Citations per year</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_hist-bdy" class="gs_md_bdy"><style>#gsc_md_hist{width:80%;max-width:386px;}#gsc_md_hist_c{position:relative;width:100%;}</style><div id="gsc_md_hist_c"></div></div></div></div><div data-h="600" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cbyd" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cbyd-t" data-cid="gsc_md_cbyd_l" data-wfc="gsc_md_cbyd-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cbyd-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cbyd" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cbyd-t" class="gs_md_hdr_t">Duplicate citations</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_cbyd-bdy" class="gs_md_bdy"><form id="gsc_md_cbyd_f" action="/citations?hl=en&user=mjbSqDEAAAAJ&view_op=list_works" method="post"><input type="hidden" name="s" value=""><div class="gs_md_lbl">The following articles are merged in Scholar. Their <a id="gsc_md_cbyd_c" href="javascript:void(0)">combined citations</a> are counted only for the first article.</div><div id="gsc_md_cbyd_l"></div></form></div></div></div><div data-h="600" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cbym" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cbym-t" data-cid="gsc_md_cbym_l" data-wfc="gsc_md_cbym-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cbym-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cbym" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cbym-t" class="gs_md_hdr_t">Merged citations</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_cbym-bdy" class="gs_md_bdy"><div class="gs_md_lbl">This "Cited by" count includes citations to the following articles in Scholar. The ones marked <span id="gsc_md_cbym_s">*</span> may be different from the article in the profile.</div><div id="gsc_md_cbym_l" data-act="/citations?hl=en&user=mjbSqDEAAAAJ&view_op=list_works"></div></div></div></div><div data-h="900" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cod" class="gs_md_d gs_md_ds gs_ttzi gsc_cod_lc" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cod-t" data-cid="gsc_cods_res" data-wfc="gsc_md_cod-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cod-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cod" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cod-t" class="gs_md_hdr_t"><span id="gsc_cod_t"><span id="gsc_cod_tadd">Add co-authors</span><span id="gsc_cod_tedit">Co-authors</span><a id="gsc_cod_trev" href="javascript:void(0)" data-txt="Review" data-lim="Limit reached"></a></span></h2><div class="gs_md_hdr_b"><button type="button" id="gsc_cod_done" aria-label="Add co-authors" disabled class="gs_btnDNW gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></div></div><div id="gsc_md_cod-bdy" class="gs_md_bdy"><div id="gsc_cods_urls" class="gsc_cods_hide" data-ls="" data-lc="/citations?view_op=list_colleagues&hl=en&json=&user=mjbSqDEAAAAJ" data-sa=""></div><form id="gsc_cods_save" action="" method="POST"><input type="hidden" name="colleague_add"><input type="hidden" name="colleague_del"></form><div id="gsc_cods_res"></div></div></div></div><div data-h="800" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gs_md_cita-d" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gs_md_cita-d-t" data-cid="gs_md_cita-l" data-wfc="gs_md_cita-d-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gs_md_cita-d-x" role="button" aria-label="Cancel" data-mdx="gs_md_cita-d" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gs_md_cita-d-t" class="gs_md_hdr_t"></h2><div class="gs_md_hdr_b"><button type="button" id="gs_md_cita-b-save" aria-label="Save" class="gs_btnDNW gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></div></div><div id="gs_md_cita-d-bdy" class="gs_md_bdy"><style>#gs_md_cita-d{width:90%;max-width:1000px;}.gs_el_ph #gs_md_cita-d{width:100%;max-width:none;}#gs_md_cita-d .gs_md_prg{min-height:600px;}</style><div id="gs_md_cita-l" aria-live="assertive"></div></div></div></div><div data-h="0" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_fol" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_fol-t" data-wfc="gsc_md_fol-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_fol-x" role="button" aria-label="Cancel" data-mdx="gsc_md_fol" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_fol-t" class="gs_md_hdr_t">Follow</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_fol-bdy" class="gs_md_bdy"><form method="post" id="gsc_fol_f" action="/citations?hl=en&user=mjbSqDEAAAAJ&view_op=list_works"><input type="hidden" name="xsrf" value="ADIE8skAAAAAZ0jKVdaoKHRYnvlCjNG6wKOUzOU"><input type="hidden" name="user" value="mjbSqDEAAAAJ"><div id="gsc_fol_inp"></div><div id="gsc_fol_cb"><div class="gsc_fol_cr"><a href="javascript:void(0)" id="gsc_fol_a" role="checkbox" aria-checked="false" data-s="0" class="gs_cb_gen gs_in_cb"><span class="gs_lbl">New articles by this author</span><span class="gs_chk"></span><span class="gs_cbx"></span></a></div><div class="gsc_fol_cr"><a href="javascript:void(0)" id="gsc_fol_c" role="checkbox" aria-checked="false" data-s="0" 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class="gs_lbl">My profile</span></a><a href="/scholar?scilib=1&hl=en" role="menuitem" class="gs_btnL gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My library</span></a><a href="/citations?view_op=metrics_intro&hl=en" role="menuitem" class="gs_btnJ gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Metrics</span></a><a href="/scholar_alerts?view_op=list_alerts&hl=en" role="menuitem" class="gs_btnM gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Alerts</span></a></div><div class="gs_hdr_drw_sec"><a href="/scholar_settings?hl=en" role="menuitem" class="gs_btnP gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Settings</span></a></div></div><div id="gs_hdr_drw_bot" class="gs_hdr_drw_sec"><a 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id="gsc_rsb_cit" role="region" aria-labelledby="gsc_prf_t-cit"><h3 class="gsc_rsb_header"><span class="gsc_rsb_title">Cited by</span><button type="button" id="gsc_hist_opn" class=" gs_btn_flat gs_btn_flact gs_btn_lrge gs_btn_half gs_btn_lsu gsc_rsb_action"><span class="gs_wr"><span class="gs_lbl">View all</span></span></button></h3><table id="gsc_rsb_st"><thead><tr><th class="gsc_rsb_sth"></th><th class="gsc_rsb_sth">All</th><th class="gsc_rsb_sth">Since 2019</th></tr></thead><tbody><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="This is the number of citations to all publications. The second column has the "recent" version of this metric which is the number of new citations in the last 5 years to all publications.">Citations</a></td><td class="gsc_rsb_std">3719</td><td class="gsc_rsb_std">3487</td></tr><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="h-index is the largest number h such that h publications have at least h citations. The second column has the "recent" version of this metric which is the largest number h such that h publications have at least h new citations in the last 5 years.">h-index</a></td><td class="gsc_rsb_std">28</td><td class="gsc_rsb_std">28</td></tr><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="i10-index is the number of publications with at least 10 citations. The second column has the "recent" version of this metric which is the number of publications that have received at least 10 new citations in the last 5 years.">i10-index</a></td><td class="gsc_rsb_std">52</td><td class="gsc_rsb_std">51</td></tr></tbody></table><style>.gsc_g_t{position:absolute;bottom:0;color:#777;font-size:11px;}.gsc_g_a{position:absolute;bottom:13px;width:15px;background:#777;}.gsc_g_a:hover,.gsc_g_a:focus,.gsc_g_a:active{text-decoration:none;cursor:default;}.gsc_g_al{position:absolute;bottom:15px;left:7px;color:#222;background:white;font-size:11px;padding:1px;border:1px solid #777;border-radius:1px;visibility:hidden;opacity:0;transition:opacity .218s,visibility 0s .218s;}.gsc_g_a:hover .gsc_g_al,.gsc_g_a:focus .gsc_g_al,.gsc_g_a:active .gsc_g_al{visibility:visible;opacity:1;transition:all 0s;}#gsc_md_hist{max-width:610px;}.gsc_md_hist_w{position:relative;overflow:hidden;margin-right:43px;}.gs_md_bdy .gsc_md_hist_w,.gs_el_ph .gsc_md_hist_w,.gs_el_ta .gsc_md_hist_w{overflow-x:auto;padding-bottom:16px;}.gsc_md_hist_b{position:relative;height:174px;width:100%;}.gsc_md_hist_b .gsc_g_a{bottom:auto;}.gsc_md_hist_b .gsc_g_t{bottom:auto;top:161px;}.gsc_md_hist_b:after{position:absolute;right:568px;content:"\00A0";}.gsc_g_hist_x{position:relative;margin-right:45px;}.gsc_g_hist_xl{position:absolute;right:8px;width:35px;}.gs_el_ta .gsc_g_hist_xl,.gs_el_ph .gsc_g_hist_xl{right:16px;}.gsc_g_hist_wrp{padding-top:32px;position:relative;}.gs_el_ta .gsc_g_hist_wrp,.gs_el_ph .gsc_g_hist_wrp{padding-right:8px;}.gs_md_bdy .gsc_g_hist_wrp{border-top:0;}.gs_el_tc .gs_md_bdy .gsc_g_hist_wrp:after,.gs_el_tc.gs_el_ph .gsc_g_hist_wrp:after,.gs_el_tc.gs_el_ta .gsc_g_hist_wrp:after{display:block;content:"";position:absolute;z-index:100;top:0;left:0;width:20px;height:100%;background-image:linear-gradient(to left,rgba(255,255,255,0),rgba(255,255,255,1) 80%);}.gsc_g_x,.gsc_g_xt{position:absolute;left:0;border-bottom:1px solid #eee;width:100%;text-align:right;}.gsc_g_x{border-bottom:1px solid #eee;}.gsc_g_xtl{position:absolute;color:#777;}.gsc_g_gtr{position:absolute;}.gsc_g_a:last-child .gsc_g_al{right:0;left:auto;}</style><div class="gsc_g_hist_wrp" dir="rtl"><div class="gsc_g_hist_x"><div class="gsc_g_x" style="top:160px;"></div><div class="gsc_g_xt" style="top:0px;"></div><div class="gsc_g_xt" style="top:80px;"></div><div class="gsc_g_xt" style="top:120px;"></div><div class="gsc_g_xt" style="top:40px;"></div></div><div class="gsc_g_hist_xl"><div class="gsc_g_xtl" style="top:153px;">0</div><div class="gsc_g_xtl" style="top:-7px;">900</div><div class="gsc_g_xtl" style="top:73px;">450</div><div class="gsc_g_xtl" style="top:113px;">225</div><div class="gsc_g_xtl" style="top:33px;">675</div></div><div class="gsc_md_hist_w"><div class="gsc_md_hist_b"><span class="gsc_g_t" style="right:515px">2008</span><span class="gsc_g_t" style="right:483px">2009</span><span class="gsc_g_t" style="right:451px">2010</span><span class="gsc_g_t" style="right:419px">2011</span><span class="gsc_g_t" style="right:387px">2012</span><span class="gsc_g_t" style="right:355px">2013</span><span class="gsc_g_t" style="right:323px">2014</span><span class="gsc_g_t" style="right:291px">2015</span><span class="gsc_g_t" style="right:259px">2016</span><span class="gsc_g_t" style="right:227px">2017</span><span class="gsc_g_t" style="right:195px">2018</span><span class="gsc_g_t" style="right:163px">2019</span><span class="gsc_g_t" style="right:131px">2020</span><span class="gsc_g_t" style="right:99px">2021</span><span class="gsc_g_t" style="right:67px">2022</span><span class="gsc_g_t" style="right:35px">2023</span><span class="gsc_g_t" style="right:3px">2024</span><a href="javascript:void(0)" class="gsc_g_a" style="right:520px;top:158px;height:2px;z-index:17"><span class="gsc_g_al">15</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:488px;top:159px;height:1px;z-index:16"><span class="gsc_g_al">8</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:456px;top:158px;height:2px;z-index:15"><span class="gsc_g_al">15</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:424px;top:158px;height:2px;z-index:14"><span class="gsc_g_al">16</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:392px;top:155px;height:5px;z-index:13"><span class="gsc_g_al">32</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:360px;top:154px;height:6px;z-index:12"><span class="gsc_g_al">35</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:328px;top:155px;height:5px;z-index:11"><span class="gsc_g_al">32</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:296px;top:158px;height:2px;z-index:10"><span class="gsc_g_al">14</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:264px;top:159px;height:1px;z-index:9"><span class="gsc_g_al">6</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:232px;top:159px;height:1px;z-index:8"><span class="gsc_g_al">9</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:200px;top:154px;height:6px;z-index:7"><span class="gsc_g_al">38</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:168px;top:109px;height:51px;z-index:6"><span class="gsc_g_al">289</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:136px;top:115px;height:45px;z-index:5"><span class="gsc_g_al">256</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:104px;top:58px;height:102px;z-index:4"><span class="gsc_g_al">576</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:72px;top:40px;height:120px;z-index:3"><span class="gsc_g_al">680</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:40px;top:0px;height:160px;z-index:2"><span class="gsc_g_al">900</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:8px;top:23px;height:137px;z-index:1"><span class="gsc_g_al">774</span></a></div></div></div></div><div class="gsc_rsb_s gsc_prf_pnl" id="gsc_rsb_mnd" role="region" aria-labelledby="gsc_prf_t-mnd"><div class="gsc_rsb_header gsc_rsb_m_header"><div class="gsc_rsb_m_title">Public access</div><a href="/citations?view_op=list_mandates&hl=en&user=mjbSqDEAAAAJ" id="gsc_lwp_mndt_lnk">View all</a></div><div class="gsc_rsb_hm gs_ota gs_oph"><button type="button" onclick="window.location='/citations?view_op\x3dlist_mandates\x26hl\x3den\x26user\x3dmjbSqDEAAAAJ'" class=" gs_btn_flat gs_btn_flact gs_btn_lrge gs_btn_half gs_btn_lsu"><span class="gs_wr"><span class="gs_lbl">View all</span></span></button></div><div class="gsc_rsb_m"><div class="gsc_rsb_m_a"><span>101 articles</span></div><div class="gsc_rsb_m_na"><div class="gs_gray">0 articles</div></div><div class="gsc_rsb_m_bar"><div class="gsc_rsb_m_bar_na" style="width:0%"></div></div><div class="gsc_rsb_m_a"><span>available</span></div><div class="gsc_rsb_m_na"><span class="gs_gray">not available</span></div><div class="gsc_rsb_m_desc">Based on funding mandates</div></div></div><div class="gsc_rsb_s gsc_prf_pnl" id="gsc_rsb_co" role="region" aria-labelledby="gsc_prf_t-ath"><h3 class="gsc_rsb_header"><span class="gsc_rsb_title">Co-authors</span></h3><ul class="gsc_rsb_a"><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-XNrDE7EAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-XNrDE7EAAAAJ-img,.gs_el_ph #gsc_rsb-XNrDE7EAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-XNrDE7EAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Dario Grasso" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-XNrDE7EAAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=XNrDE7EAAAAJ&hl=en">Dario Grasso</a><span class="gsc_rsb_a_ext">INFN, Pisa</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at pi.infn.it</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-24yf6SIAAAAJ-img{width:32px;height:21px;}.gs_el_ta #gsc_rsb-24yf6SIAAAAJ-img,.gs_el_ph #gsc_rsb-24yf6SIAAAAJ-img{width:56px;height:37px;}</style><span id="gsc_rsb-24yf6SIAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Antonio Marinelli" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-24yf6SIAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=24yf6SIAAAAJ&citpid=7" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=24yf6SIAAAAJ&citpid=7 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=24yf6SIAAAAJ&citpid=7 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=24yf6SIAAAAJ&citpid=7 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=24yf6SIAAAAJ&hl=en">Antonio Marinelli</a><span class="gsc_rsb_a_ext">Università di Napoli, Federico II</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at unina.it</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-ADObeiAAAAAJ-img{width:32px;height:31px;}.gs_el_ta #gsc_rsb-ADObeiAAAAAJ-img,.gs_el_ph #gsc_rsb-ADObeiAAAAAJ-img{width:56px;height:54px;}</style><span id="gsc_rsb-ADObeiAAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Daniele Gaggero" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-ADObeiAAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=ADObeiAAAAAJ&citpid=2" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=ADObeiAAAAAJ&citpid=2 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=ADObeiAAAAAJ&citpid=2 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=ADObeiAAAAAJ&citpid=2 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=ADObeiAAAAAJ&hl=en">Daniele Gaggero</a><span class="gsc_rsb_a_ext">INFN Pisa</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at pi.infn.it</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-3Y8jmQwAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-3Y8jmQwAAAAJ-img,.gs_el_ph #gsc_rsb-3Y8jmQwAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-3Y8jmQwAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Hugo Alberto Ayala Solares" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-3Y8jmQwAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=3Y8jmQwAAAAJ&citpid=1" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=3Y8jmQwAAAAJ&citpid=1 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=3Y8jmQwAAAAJ&citpid=1 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=3Y8jmQwAAAAJ&citpid=1 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=3Y8jmQwAAAAJ&hl=en">Hugo Alberto Ayala Solares</a><span class="gsc_rsb_a_ext">Pennsylvania State University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at psu.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-XJpaKvsAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-XJpaKvsAAAAJ-img,.gs_el_ph #gsc_rsb-XJpaKvsAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-XJpaKvsAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Kelly Malone" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-XJpaKvsAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=XJpaKvsAAAAJ&citpid=3" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=XJpaKvsAAAAJ&citpid=3 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=XJpaKvsAAAAJ&citpid=3 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=XJpaKvsAAAAJ&citpid=3 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=XJpaKvsAAAAJ&hl=en">Kelly Malone</a><span class="gsc_rsb_a_ext">Los Alamos National Laboratory</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at lanl.gov</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-B0bljuEAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-B0bljuEAAAAJ-img,.gs_el_ph #gsc_rsb-B0bljuEAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-B0bljuEAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Francisco Salesa Greus" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-B0bljuEAAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span 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IceCube-170922A</a><div class="gs_gray">IceCube Collaboration, MAGIC, AGILE, ASAS-SN, HAWC, HESS, ...</div><div class="gs_gray">Science 361 (6398), eaat1378<span class="gs_oph">, 2018</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=8653136203520008030" class="gsc_a_ac gs_ibl">836</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2018</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:vV6vV6tmYwMC" class="gsc_a_at">Search for <svg class="gs_fsvg" aria-label="CP" width="27px" height="12px" style="vertical-align:-1px;"><g transform="matrix(0.01700, 0.00000, 0.00000, 0.01700, 0.00000, 11.98500)"><g><path transform="scale(0.48828, -0.48828)" d="M 299 442 Q 299 319 346 225 T 484 79 T 698 27 Q 827 27 946 93 T 1150 269 T 1266 504 Q 1270 516 1282 516 H 1307 Q 1315 516 1320 510 T 1325 498 Q 1325 496 1323 492 Q 1288 350 1187 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1604 461 H 948 V -199 Q 941 -246 899 -246 Q 878 -246 864 -233 T 848 -199 Z "/></g></g></g></g></svg></a><div class="gs_gray">B Aubert, M Bona, D Boutigny, Y Karyotakis, JP Lees, V Poireau, ...</div><div class="gs_gray">Physical review letters 100 (6), 061803<span class="gs_oph">, 2008</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=1993390165415514330,6987695763164793362" class="gsc_a_ac gs_ibl">240</a><span class="gsc_a_m"><a href="javascript:void(0)" class="gsc_a_am" data-eid="mjbSqDEAAAAJ:vV6vV6tmYwMC">*</a></span></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2008</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:YOwf2qJgpHMC" class="gsc_a_at">Multiple galactic sources with emission above 56 TeV detected by HAWC</a><div class="gs_gray">AU Abeysekara, A Albert, R Alfaro, JR Angeles Camacho, ...</div><div class="gs_gray">Physical review letters 124 (2), 021102<span class="gs_oph">, 2020</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=8065839282571197384" class="gsc_a_ac gs_ibl">231</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2020</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:4DMP91E08xMC" class="gsc_a_at">3HWC: The third HAWC catalog of very-high-energy gamma-ray sources</a><div class="gs_gray">A Albert, R Alfaro, C Alvarez, JRA Camacho, JC Arteaga-Velázquez, ...</div><div class="gs_gray">The Astrophysical Journal 905 (1), 76<span class="gs_oph">, 2020</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=9669786593806970849" class="gsc_a_ac gs_ibl">192</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2020</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:MXK_kJrjxJIC" class="gsc_a_at">Measurement of the Crab Nebula spectrum past 100 TeV with HAWC</a><div class="gs_gray">AU Abeysekara, A Albert, R Alfaro, C Alvarez, JD Álvarez, JRA Camacho, ...</div><div class="gs_gray">The Astrophysical Journal 881 (2), 134<span class="gs_oph">, 2019</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=3642825712092426798" class="gsc_a_ac gs_ibl">176</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2019</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:_Qo2XoVZTnwC" class="gsc_a_at">Revealing x-ray and gamma ray temporal and spectral similarities in the GRB 190829A afterglow</a><div class="gs_gray">HESS collaboration, H Abdalla, F Aharonian, F Ait Benkhali, EO Angüner, ...</div><div class="gs_gray">Science 372 (6546), 1081-1085<span class="gs_oph">, 2021</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=9670674894174679356" class="gsc_a_ac gs_ibl">170</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2021</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:hC7cP41nSMkC" class="gsc_a_at">HAWC observations of the acceleration of very-high-energy cosmic rays in the Cygnus Cocoon</a><div class="gs_gray">AU Abeysekara, A Albert, R Alfaro, C Alvarez, JRA Camacho, ...</div><div class="gs_gray">Nature Astronomy 5 (5), 465-471<span class="gs_oph">, 2021</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=18320165238226603179" class="gsc_a_ac gs_ibl">152</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2021</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:YsMSGLbcyi4C" class="gsc_a_at">Very-high-energy particle acceleration powered by the jets of the microquasar SS 433</a><div class="gs_gray">AU Abeysekara, A Albert, R Alfaro, C Alvarez, JD Álvarez, R Arceo, ...</div><div class="gs_gray">Nature 562 (7725), 82-85<span class="gs_oph">, 2018</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=7173010782188009655" class="gsc_a_ac gs_ibl">136</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2018</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:hFOr9nPyWt4C" class="gsc_a_at">Broadband Multi-wavelength Properties of M87 during the 2017 Event Horizon Telescope Campaign</a><div class="gs_gray">JC Algaba, J Anczarski, K Asada, M Baloković, S Chandra, YZ Cui, ...</div><div class="gs_gray">The Astrophysical Journal Letters 911 (1), L11<span class="gs_oph">, 2021</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=11570564367153373638" class="gsc_a_ac gs_ibl">92</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2021</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:zYLM7Y9cAGgC" class="gsc_a_at">Constraints on spin-dependent dark matter scattering with long-lived mediators from TeV observations of the Sun with HAWC</a><div class="gs_gray">A Albert, R Alfaro, C Alvarez, R Arceo, JC Arteaga-Velázquez, ...</div><div class="gs_gray">Physical Review D 98 (12), 123012<span class="gs_oph">, 2018</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=7022760391607100224" class="gsc_a_ac gs_ibl">82</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2018</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:KlAtU1dfN6UC" class="gsc_a_at">Constraints on Lorentz invariance violation from HAWC observations of gamma rays above 100 TeV</a><div class="gs_gray">A Albert, R Alfaro, C Alvarez, JR Angeles Camacho, ...</div><div class="gs_gray">Physical Review Letters 124 (13), 131101<span class="gs_oph">, 2020</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=13759478854835665527" class="gsc_a_ac gs_ibl">76</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2020</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:ufrVoPGSRksC" class="gsc_a_at">All-sky measurement of the anisotropy of cosmic rays at 10 TeV and mapping of the local interstellar magnetic field</a><div class="gs_gray">AU Abeysekara, R Alfaro, C Alvarez, R Arceo, JC Arteaga-Velázquez, ...</div><div class="gs_gray">The Astrophysical Journal 871 (1), 96<span class="gs_oph">, 2019</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=4310593545214489750" class="gsc_a_ac gs_ibl">69</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2019</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:qxL8FJ1GzNcC" class="gsc_a_at">HAWC J2227+ 610 and its association with G106. 3+ 2.7, a new potential Galactic PeVatron</a><div class="gs_gray">A Albert, R Alfaro, C Alvarez, JRA Camacho, JC Arteaga-Velázquez, ...</div><div class="gs_gray">The Astrophysical Journal Letters 896 (2), L29<span class="gs_oph">, 2020</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=13663461959805783177" class="gsc_a_ac gs_ibl">64</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2020</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:Se3iqnhoufwC" class="gsc_a_at">Science case for a wide field-of-view very-high-energy Gamma-ray observatory in the southern hemisphere</a><div class="gs_gray">A Albert, R Alfaro, H Ashkar, C Alvarez, J Álvarez, JC Arteaga-Velázquez, ...</div><div class="gs_gray">arXiv preprint arXiv:1902.08429<span class="gs_oph">, 2019</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=15233204988123626308" class="gsc_a_ac gs_ibl">61</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2019</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:u_35RYKgDlwC" class="gsc_a_at">Time-resolved hadronic particle acceleration in the recurrent nova RS Ophiuchi</a><div class="gs_gray">HESS Collaboration*†, F Aharonian, F Ait Benkhali, EO Angüner, ...</div><div class="gs_gray">Science 376 (6588), 77-80<span class="gs_oph">, 2022</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=15430281045782750386" class="gsc_a_ac gs_ibl">59</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2022</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:d1gkVwhDpl0C" class="gsc_a_at">Observation of anisotropy of TeV cosmic rays with two years of HAWC</a><div class="gs_gray">AU Abeysekara, R Alfaro, C Alvarez, JD Álvarez, R Arceo, ...</div><div class="gs_gray">The Astrophysical Journal 865 (1), 57<span class="gs_oph">, 2018</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=13876499690910958647" class="gsc_a_ac gs_ibl">50</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2018</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:7PzlFSSx8tAC" class="gsc_a_at">Evidence of 200 TeV photons from HAWC J1825-134</a><div class="gs_gray">A Albert, R Alfaro, C Alvarez, JRA Camacho, JC Arteaga-Velázquez, ...</div><div class="gs_gray">The Astrophysical Journal Letters 907 (2), L30<span class="gs_oph">, 2021</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=9161668255819533513" class="gsc_a_ac gs_ibl">47</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2021</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:IWHjjKOFINEC" class="gsc_a_at">Evidence that ultra-high-energy gamma rays are a universal feature near powerful pulsars</a><div class="gs_gray">A Albert, R Alfaro, C Alvarez, JD Álvarez, JRA Camacho, ...</div><div class="gs_gray">The Astrophysical Journal Letters 911 (2), L27<span class="gs_oph">, 2021</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=11566521545562408518" class="gsc_a_ac gs_ibl">42</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2021</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:Tyk-4Ss8FVUC" class="gsc_a_at">First HAWC observations of the Sun constrain steady TeV gamma-ray emission</a><div class="gs_gray">A Albert, R Alfaro, C Alvarez, R Arceo, JC Arteaga-Velázquez, ...</div><div class="gs_gray">Physical Review D 98 (12), 123011<span class="gs_oph">, 2018</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=17465674761171565485" class="gsc_a_ac gs_ibl">41</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2018</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=mjbSqDEAAAAJ&citation_for_view=mjbSqDEAAAAJ:uLbwQdceFCQC" class="gsc_a_at">The high-altitude water cherenkov (HAWC) observatory in méxico: The primary detector</a><div class="gs_gray">AU Abeysekara, A Albert, R Alfaro, C Alvarez, JD Álvarez, M Araya, ...</div><div class="gs_gray">Nuclear Instruments and Methods in Physics Research Section A: Accelerators …<span class="gs_oph">, 2023</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.com/scholar?oi=bibs&hl=en&cites=5648031791165019369" class="gsc_a_ac gs_ibl">38</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2023</span></td></tr></tbody></table><div id="gsc_a_sp"></div><div id="gsc_a_err" class="gs_alrt">The system can't perform the operation now. 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