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href="https://www.jlab.org/theory/cj/pdfs">Download PDFs</a></li><li><a href="https://www.jlab.org/theory/cj/refs">References</a></li><li><a href="https://www.jlab.org/theory/cj/talks">Talks</a></li></ul></div></div></div> </div> </div> </div> </div> </div> </section> <div> <div data-drupal-messages-fallback class="hidden"></div><div id="block-pagetitle-7" class="pagetitle block block-core block-page-title-block"> <div class="jlab-blkcontent"> <h1> <span>CJ Collaboration</span> </h1> </div> </div> <div id="block-mainpagecontent-2" class="clearfix block block-system block-system-main-block"> <div class="jlab-blkcontent"> <article data-history-node-id="13522" class="node node--type-theory node--view-mode-full"> <div> <div><h2>About CJ</h2> <p>The <b>CJ (<u>C</u>TEQ-<u>J</u>efferson Lab)</b> Collaboration studies the quark and gluon structure of the nucleon by performing global QCD fits of parton distribution functions (PDFs). These parametrize a vast array of data including deep-inelastic lepton-nucleon scattering, proton-proton collisions (lepton pair creation, <i>W</i>-boson and jet production), and other reactions, with particular focus on the large-<i>x</i> region.</p> <p>The latest CJ15 fits use less restrictive cuts on <i>Q</i> (&gt; 1.3 GeV) and <i>W</i> (&gt; 1.73 GeV), which greatly increases the amount of data accessible at large <i>x</i> and reduces the statistical uncertainty in large-<i>x</i> PDFs. An illustration of the quality of the fit to data is shown in <b>Fig. 1</b> for the proton <i>F</i><sub>2</sub> structure function, over a large range of <i>x</i> and <i>Q</i>.</p> <p>The resulting PDFs for the <i>u</i>, <i>d</i>, anti-<i>u</i>, anti-<i>d</i>, <i>s</i> quarks and gluon <i>g</i> are illustrated in <b>Fig. 2</b> compared with PDFs from other analyses.</p> <p>The new data on the <i>W</i>-boson asymmetry in particular, shown in <b>Fig. 3</b> <i>(left)</i>, significantly improve the constraints on the <i>d/u</i> quark PDF ratio. This in turns allows a more reliable determination of the deuteron to nucleon <i>F</i><sub>2</sub> ratio, <b>Fig. 2</b> <i>(right)</i>.</p> <p>The effects on the <i>d/u</i> ratio are illustrated in <b>Fig. 4</b>, arising from inclusion of specific data sets, and from removing nuclear corrections and deuterium data.</p> <p> <a href="https://www.jlab.org/theory/cj/Figs/F2p.png"><img alt data-entity-type data-entity-uuid src="/sites/default/files/theory/img/F2p.png" width="350"></a><span style="display: inline !important; float: none; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> </span><a href="https://www.jlab.org/theory/cj/Figs/F2p_JLab.png" style="color: rgb(43, 78, 134); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: underline; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><img alt data-entity-type data-entity-uuid src="/sites/default/files/theory/img/F2p_JLab.png" width="400"></a><span style="display: inline !important; float: none; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> </span></p> <p style="color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; margin-top: 0px; orphans: 2; padding-left: 25px; padding-right: 20px; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><b>Fig. 1.</b> Proton <i>F</i><sub>2</sub> structure function data from various experiments <i>(left)</i> at BCDMS, SLAC, NMC, HERMES at fixed <i>x</i>, and <i>(right)</i> at Jefferson Lab for fixed angle, compared with the CJ15 fit (for a tolerance <i>T</i>=10), scaled by a factor 2<i><sup>i</sup></i>.</p> <p><br style="color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><br> <a href="https://www.jlab.org/theory/cj/Figs/ratio_cj15.png" style="color: rgb(43, 78, 134); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: underline; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><img alt data-entity-type data-entity-uuid src="/sites/default/files/theory/img/ratio_cj15.png" width="600"></a><span style="display: inline !important; float: none; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> </span></p> <p style="color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; margin-top: 0px; orphans: 2; padding-left: 25px; padding-right: 20px; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><b>Fig. 2.</b> Ratio of PDFs to the CJ15 central values for various PDF sets: CJ15 for tolerance <i>T</i>=1 and 10, MMHT14, HERAPDF1.5 and NNPDF3.0, for the <i>u</i>, <i>d</i>, anti-<i>u</i>, anti-<i>d</i>, <i>s</i> and <i>g</i> PDFs.</p> <p><br style="color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><br> <a href="https://www.jlab.org/theory/cj/Figs/Wasy.png" style="color: rgb(43, 78, 134); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: underline; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><img alt data-entity-type data-entity-uuid src="/sites/default/files/theory/img/Wasy.png" width="345"></a><span style="display: inline !important; float: none; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> </span><a href="https://www.jlab.org/theory/cj/Figs/F2dN_wfn.png" style="color: rgb(43, 78, 134); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: underline; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><img alt data-entity-type data-entity-uuid src="/sites/default/files/theory/img/F2dN_wfn.png" width="355"></a><span style="display: inline !important; float: none; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> </span></p> <p style="color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; margin-top: 0px; orphans: 2; padding-left: 25px; padding-right: 20px; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><b>Fig. 3.</b> <i>(Left)</i> <i>W</i>-boson charge asymmetry from as a function of the <i>W</i>-boson rapidity for CDF and D0 data, compared with the CJ15 fit with <i>T</i> = 10. <i>(Right)</i> Ratio of deuteron to free nucleon structure functions <i>F</i><sub>2</sub><sup>d</sup>/<i>F</i><sub>2</sub><sup>N</sup> for CJ15, for different deuteron wave functions.</p> <p><br style="color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><br> <a href="https://www.jlab.org/theory/cj/Figs/du_data.png" style="color: rgb(43, 78, 134); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: underline; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><img alt data-entity-type data-entity-uuid src="/sites/default/files/theory/img/du_data.png" width="350"></a><span style="display: inline !important; float: none; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> </span><a href="https://www.jlab.org/theory/cj/Figs/du_nuc.png" style="color: rgb(43, 78, 134); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: underline; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><img alt data-entity-type data-entity-uuid src="/sites/default/files/theory/img/du_nuc.png" width="350"></a><span style="display: inline !important; float: none; background-color: rgb(255, 255, 255); color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> </span></p> <p style="color: rgb(0, 0, 0); font-family: Arial,Helvetica,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; margin-top: 0px; orphans: 2; padding-left: 25px; padding-right: 20px; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><b>Fig. 4.</b> <i>(Left)</i> Impact of various data sets on the <i>d/u</i> ratio (for <i>T</i>=10). <i>(Right)</i> Impact on <i>d/u</i> ratio of removing nuclear corrections and omitting deuterium data.</p> </div> <div> <div> <div class="paragraph paragraph--type--photo-block paragraph--view-mode--default"> <div class="pb-image"> <div> <a href="https://www.jlab.org/sites/default/files/styles/image_200x145/public/default_images/default.jpg?itok=2XCfYdV6" aria-label="{&quot;alt&quot;:&quot;&quot;}" role="button" title="CJ Collaboration &amp;gt; 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