CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="390"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "pubs.aip.org",cType: 'managed',cRay: '9133ae832df9fde2',cH: 'nyM9jF8ir8omtRQagtvWiR_wyoEdyh1w_6L3.PidVNI-1739773332-1.2.1.1-JVgi88Qmh4L2iO6Orao4HMxQFsnJMpOB2ezoa8a9D8qpmy3SJL9L61Xx9Q9THTA6',cUPMDTk: "\/jcp\/article\/108\/12\/4725\/477712\/Symmetry-adapted-perturbation-theory-of-three-body?__cf_chl_tk=oWkamrSWOyjNvLl_IarWgB6pcw8c1xLjxMW.R0JZxsA-1739773332-1.0.1.1-M1GaCHpr5csLI1FNlyt51lfxRj3eTW4indgaHG9CZUs",cFPWv: 'b',cITimeS: '1739773332',cTTimeMs: '1000',cMTimeMs: '390000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/jcp\/article\/108\/12\/4725\/477712\/Symmetry-adapted-perturbation-theory-of-three-body?__cf_chl_f_tk=oWkamrSWOyjNvLl_IarWgB6pcw8c1xLjxMW.R0JZxsA-1739773332-1.0.1.1-M1GaCHpr5csLI1FNlyt51lfxRj3eTW4indgaHG9CZUs",md: "L86tEnVIrCnLXj2MXubgLOU8qeD5RhxIG6xIo9VDC50-1739773332-1.2.1.1-ix90KTgsbl_w4tQ7NxQOiVVXqRCh8cv2jtuJN3XC4.UqyevSbJx8a4GWJAlJJO8ntLrZ1Ef.DaMC2uJdI3TuW6WfALdV2iDJbz2bFxRpZkOu5SnGo6fg.OMMIV1hU9pinfEjRotFSryxipArgSyDWqfFwsqe1RPKOt0N88_u9LxOFHRsCgS4T.xt8zJX0RwA3WiI4KzCYGXa3VhFLNFyGoO.Efqsu.zLTrrtPWWc8xIRad0ZBFmIOTANWpMrngyjOR5SlNgKbxmgB9AaHCwfNBMWSV0TSm_a8gYeIvE5z6DOUyKBXocUbAdjPvDBu2U10vUM38APRIBP2qKkCx6mFC2fpDH4QuTr6knPLBIRMn_8c_V.sXh51bctCuEKss40AmDP0.BUHmiPzKPSaTOUX3IEa_vRvDVGxmh6WSK0z9tJG3TwC_T.hLW2LKhOBoykpnf7_eLQzsojzUdVrfGyPUN.TAgQQBJ1W7uHvo5CUrkkOIQSueqx_zQiTR1udGqsS_5KyZSuh_f9sPne2ljSnolHC_RNj0E4luNWwHi98f01keVI1Q.jQAinvz3ytXLRMK1JMolmcJGhdya5XSd3t1BcqTUPtZaKYtTcSzocbMqytT48brqOLUam0ySNz9WZIfnojCbhKHuVSyH8Qi1MRRLuhVAEjV8nLWdaCQgD3kTs6l9OK35fzMI6Ui1y8KXxhEUd9kvCEfPbl_ueDiQhR.JuregFBUTAhI_kX2IT8bSgfwdS9HcnRyR92YzBFtCY.HxoRPVuDSJkSgyeTUb4Q691GZUaiiHRBxgYt9lEqkrm87YbZ7359hkgV.ihUq9fjqViHyHootbrxtHKKOVokvWTSdCVqXOdoNEhOikaKKsy249J2aEq..2D30Q_ekFkFIcHcgqVzxa9gI5vfkAJNAtX5uBJFlVk2rYyMz9RmRV_zsc7Fb35ZtCJsOnHiq_cme8NXy2vLafZfRNDTK6zu_Jyl7MOU50lJ.wqzAnNWPBCK4cRxPtRPZNETabW5pwgr_Yy27_jawCQ3.My8S3kMHp8J.G1LDbv7awt9GZdprmp6_ZAYPUkA.MnMvn2IocV1OqdxeAimVPwqcrYz6ilY2d3WJLwXYB83JnBOH3XDaiSi132Zpnr1JEFCSiCk8t2Mj_DPQaSWUqAMZjITA_D.lB2Do18tXirlyLcX0gRlp9xNkA4VjDKJtCxE06Z4haIlg._H0Ni_z2chiV5jWzVgNK8gnj7v_Vz4sMREap2mcerzN52BwO5kvqBmnHj6wTH0.duxbW60n0DtBexQR96KpZRVtkuZguEWu0LNxqReVLg_LK.shv5NLea13IMT5K8H.pHe3BMbAaADPsWrPSn8fPaQKXlr4cV.WUqZXHNr8cxBpTdtMzwPO8wpEnjHJ0u5NombnY7nwcn.5d90rKk4BQ0nY75Ry5ZA0ynFhGnpRGbTsbjhiJXq2p4PuKfeMLxCT7R71OHz0tDyw1LH60AOUu.rcBE4Fb2SQyakUF5Kvk.VvS.AoYpDzz7yKeJ.fVTy28Obmt8N2RAslUPNOXB8dII8oMNqa8IuBwVuDW9wtl0D5nv3ouYDcbHjHC28nkgyok24sEsj6QEjbICL0.EAUMSZNpTlHEdaXvUuzDb.BJP2RNpN__viwxzqNpVKwBLCWXiTiSK7oSaAdL_Syv560nwi.Iy3y9dKOw6qEf_ECiQ5B3OHLaZs0mBFy367X9ql7TEyPettFj1TVcsSdILJclZVrZMJfh6XEWB.QficORyojCWU3AZXDNmKNc6lgBtSwlAKX3f3jhYopnA7Ak4iRt6QspFLcAmJtVweUYjjqRDjO57eEfS9U4RzLA_zP9HAnIdXoA43ywuSglbUIi6dQZkhgYSCgBIapgjqSgtDc8nlBxipN2zfBTLC_.uwrV9ivrvMIx8Bh4IL_WdGT7ybVpotrQ263uf4UOntv9LoZ5hKhlMrhOhH.VkX7uAeIs3SUk54x4Iln11_YT6wmyNrjAxQpOBCpd0xEwDct1xY6qtUMRodqgoKOqQBMLw6zambboWQ5S3NbHx3uROTwfiRUXgh009lzcR1O1uYkKACsSizQ8MjTvyGCCGjOnyCumjAHKYJL94yRTOBPIDfA.BNrVp1RNv6L2EfqcgLoLvQJUAZv_k9iyXk6mS_tVRY9dyLIX2XdJVJbkAylckBxoYklF36D9bYrO0djP2ORtPqc3r1Y89itKIb_SLHg0.KxjXfks0_xa_rjZ.zOCDHnXsQHgAsc77YXuc.DSfh5LyimvgL.41_gAjGpw4As4bvEisxofhcTfqRVFNpnQIgmA31qdl9p_aEEglP9Bdo8Sw7aanFDwmIxFMkCu_Atnr57V.sft8VHW34icarnMiRfi0GYLNtrLe9HKWf1ZkGVYkCdd.qsnDX2KdVSlRu_nhjWPOBs6YYp.TEUkD4O1d5aFjKsc6LdfH34Rc3ZhrALdpN1_Ep_OlMtBnEiUBUQrbNi1yP8UDkPo3CjNbUOXRfACBy6fGXdLLyWXsTBFsY22gnmGfHQYGsnXYO6IsQypyE7hUrJON2V6v.6ytkklqNsnTdL83JdJRvFyEFx7m1WcHObykBi3gLQ4iXHFRuP2VHYxckFzfJo9gusXxvfMBBb4_XseH1Dw9.J1zt87fj4f7ogE3aPh7wXDEFh7g.lnDREm822EMP8tMNaslIfuh6ktyN3mr51zWM9G_9fFJpCX3.Vk",mdrd: "IT8WYe7cNkGZWdQezBVSCYXiKCoIfBAEJvhot.V7.4E-1739773332-1.2.1.1-NCDJqlLV6.KmdolbAdL9VU7OrF6xeF3FkwhQdQ2XmEoksffeBzy.Rzi01iOpA8_bJM_RtdlCBg8Jk0GDvAlKcjDAUc6V95Ob5CRaY9WYO_AOtV6TVrQiSrVPsVzDwbaKuS4IpFbW4JVrMLfJx0zikFsv34NTsRy3rAGk_Ti2ur5xThQBpdSScUov4zDSINoEsHHwbwvegU9GEAfASinMVcilRfrdf1hecGkrLxJOj3l9Y.tdtb3xadVURWGxszXcpZv0QJy5oIl1A.TBrMO98SHAVtTj0Q_Q0rYIudRHlnZoPn8qNTKTmIchyrHeazPaiseIGXD.be4b6yCcXW0z29p83N33dltyLkzVV70YGD0aFUtL3r3a3pN6E8N9ENw9U5DjyVdz2O2d57GSwORfTV1qu2IzNckttqk4K9b8x9ITTEUQID8L_EIPGkgShIsBD2M8OfXHeMUu7JAXUjm0KSY81P07wJhdWd1jpq6uNd9GPdyTdPZbcrLf_.pbV3.PnIEzAzeTl8jOAjuUKqRHEz0Ag0lbyYFAYPo8O8aA9CdC7sKVmD8wC2f20aSINz6lFC7Y2d7N5DVPLIJ9koF9xoT4HVnvKqigC2eNq6LeaFdnwFU5WPN067Uqh.TjMvXuhKcZjijPqIwvoV85EFmnQH6jAFQUC0NFKHug5I7u_i7L8ho6GajOOLGMJ7wwtFPmrny8.DYCWcjstialv7GTCQU0AC7FkRHo6mpVXRMSj6AxEiiWrf2pyfgOKAeK81iWbf6ZpQnr0sWdgnjUmFICgbTF1UqGXVjw..BWPDGzOEapG7xgu8j0Kgs0mX0RZPRpVPFefEr8xHNtZphdaIPhesHhecXpMD1wtJBDsgtKqkdWZSu.rLQxVXfzmS1u5CVbTyVVD6uc3h3JhRlFy1YSbSJKtbtCiWiDrBkiFjXwfSSmyTEqbIzcK.6hsmjaJm2aXr6iLCwIvqVNgP6aZ1h8s6jwC08iKquTFeX8lzig0gONpVgryYEv2oKqraTJSlvjM9fEOz2DooLor3VQeBhlEplxXYBMBIbc1xWKKOUW2hmQd_8aaJ6uLL8FRSjJDP3QOXn1vTR8PNQvIR1zX.ExbUOLIMQdI9kJrI2SwDGweK2a5g6WESd.6FBDeJOcCRZmXykDLBLS2nKu3S3qhyWPUCCAnPtu68YsKRFvNwJmQuooOGvtfGw9jYK91NB_JXg8e_bL9037jpW7Mn3TUv2ovhRSGsw3ZA5JutAS.kYhVB9aN_9CfT3tBZcIWXikx.zhM6gDnVW.u2uj.lZbz103K37V.b2NqXZNllPCa5ZeUsCxqXQhxnZi.eKMTMa1GTaxMdQPTz_D_UNUh6_Obf6zXxrqJdVKPPnacWygaMURrtKoEpVbAHjDoBaGnKMPJt3G15Q9quRSP2fD_5tL4qrXH6gpGQWqOtwF05aQhLG9vVzhflDczAdo6a5wiv4rzdoy9ZL.Hl_PJXsV6PepeXJSFsYbFlswOGKfZ7O8dFnpjadDJAdxmIkVwZezDU.d4HodIdrpYSnWPZEDyhBQbrPDt4UWTSjF7mXfgws8205sSHvIEtkWIdgKMVSyym7cPh9D4f20.1GyDhmULQr1GHsugZJy.oxAIQCxV9OCX17sNEvBfVeZ7OmjtuJrzYzE6BRbmluz3z7SjbNDjNDDrRkX7HqZ4I9UHFZlM9ZJ1_TPop3y8y0BcSNRicuko9FhTgt9qscw.IAWbClAQlh2L.qZlEf9m4eBaDPNgXJ4Me.UKXuj_BYkea4Ejai1pNH0VKNBFPbGLfPd4ZnWtAYW2HQ1Qt5mcccStYe7k8i0gC6kQ2e8QaZXjRult1pAJc1cKRlgXJaBHNOSHRP3wKas9ZE74vdgmwn4y62ydi1zLfQ3YxngCuilRi3kiggvpRS7BrAj9.O3AVSKn.Qz.lM5CUJSI0vHaOmBQwFRbrqjS8TERxLhqtGUyAqeuLxyzvVAICI1"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=9133ae832df9fde2';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/jcp\/article\/108\/12\/4725\/477712\/Symmetry-adapted-perturbation-theory-of-three-body?__cf_chl_rt_tk=oWkamrSWOyjNvLl_IarWgB6pcw8c1xLjxMW.R0JZxsA-1739773332-1.0.1.1-M1GaCHpr5csLI1FNlyt51lfxRj3eTW4indgaHG9CZUs" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>