We study the inelastic charmonium(J/ψ,ψ(2S))and bottomonium(Υ(nS))photoproduction and fragmentation processes in p-p and Pb-Pb collisions at LHC energies,where the ultra-incoherent photon emission is included.Using...We study the inelastic charmonium(J/ψ,ψ(2S))and bottomonium(Υ(nS))photoproduction and fragmentation processes in p-p and Pb-Pb collisions at LHC energies,where the ultra-incoherent photon emission is included.Using the NRQCD factorization approach,an exact treatment is developed.This approach recovers the Weizs?cker-Williams approximation(WWA)near the Q^(2)~0region,where the Martin-Ryskin and BCCKL methods are used to avoid double counting.We calculated the Q^(2),y,z,√s and p_(T)dependent and total cross sections.Inelastic photoproduction and fragmentation were observed to contribute to heavy quarkonium production,particularly at large p_(T).In addition,the contribution of the ultra-incoherent photon channel,which increases rapidly with quarkonium mass,is significant and begins to dominate the photoproduction processes for large p_(T).We also obtained the complete WWA validity scopes of inelastic heavy quarkonium photoproduction in heavy-ion collisions.The WWA had high accuracy at high energies and for Pb-Pb collisions.However,current photon spectra are derived beyond the WWA scope,and double counting can occur when considering different channels simultaneously.展开更多
基金Supported in part by the National Natural Science Foundation of China(12305092,12233006,12150013)the Xingdian Talent Support Program for Youth Project+1 种基金by the Yunnan Fundamental Research Projects(202401AU070206)supported by the Scientific Research and Innovation Project of Postgraduate Students in the Academic Degree of Yun Nan University(KC-242410212)。
文摘We study the inelastic charmonium(J/ψ,ψ(2S))and bottomonium(Υ(nS))photoproduction and fragmentation processes in p-p and Pb-Pb collisions at LHC energies,where the ultra-incoherent photon emission is included.Using the NRQCD factorization approach,an exact treatment is developed.This approach recovers the Weizs?cker-Williams approximation(WWA)near the Q^(2)~0region,where the Martin-Ryskin and BCCKL methods are used to avoid double counting.We calculated the Q^(2),y,z,√s and p_(T)dependent and total cross sections.Inelastic photoproduction and fragmentation were observed to contribute to heavy quarkonium production,particularly at large p_(T).In addition,the contribution of the ultra-incoherent photon channel,which increases rapidly with quarkonium mass,is significant and begins to dominate the photoproduction processes for large p_(T).We also obtained the complete WWA validity scopes of inelastic heavy quarkonium photoproduction in heavy-ion collisions.The WWA had high accuracy at high energies and for Pb-Pb collisions.However,current photon spectra are derived beyond the WWA scope,and double counting can occur when considering different channels simultaneously.