{"title":"Critical Opalescence and Its Impact on the Jet Quenching Parameter q^","authors":"Jing Wu, Shanshan Cao, Feng Li","doi":"10.1088/0256-307x/41/3/031202","DOIUrl":null,"url":null,"abstract":"Jet quenching parameter <inline-formula>\n<tex-math>\n<?CDATA $\\hat{q}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mi>q</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:math>\n<inline-graphic xlink:href=\"cpl_41_3_031202_ieqn3.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> is essential for characterizing the interaction strength between jet partons and nuclear matter. Based on the quark-meson model, we develop a new framework for calculating <inline-formula>\n<tex-math>\n<?CDATA $\\hat{q}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mi>q</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:math>\n<inline-graphic xlink:href=\"cpl_41_3_031202_ieqn4.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> at finite chemical potentials, in which <inline-formula>\n<tex-math>\n<?CDATA $\\hat{q}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mi>q</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:math>\n<inline-graphic xlink:href=\"cpl_41_3_031202_ieqn5.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> is related to the spectral function of the chiral order parameter. A mean field perturbative calculation up to the one-loop order indicates that the momentum broadening of jets is enhanced at both high temperature and high chemical potential, and approximately proportional to the parton number density in the partonic phase. We further investigate the behavior of <inline-formula>\n<tex-math>\n<?CDATA $\\hat{q}$?>\n</tex-math>\n<mml:math overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mi>q</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:math>\n<inline-graphic xlink:href=\"cpl_41_3_031202_ieqn6.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> in the vicinity of the critical endpoint (CEP) by coupling our calculation with a recently developed equation of state that includes a CEP in the universality class of the Ising model, from which we discover the partonic critical opalescence, i.e., the divergence of scattering rate of jets and their momentum broadening at the CEP, contributed by scatterings via the <italic toggle=\"yes\">σ</italic> exchange process. Hence, for the first time, jet quenching is connected with the search of CEP.","PeriodicalId":10344,"journal":{"name":"Chinese Physics Letters","volume":"26 1","pages":""},"PeriodicalIF":3.5000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/0256-307x/41/3/031202","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Jet quenching parameter q^ is essential for characterizing the interaction strength between jet partons and nuclear matter. Based on the quark-meson model, we develop a new framework for calculating q^ at finite chemical potentials, in which q^ is related to the spectral function of the chiral order parameter. A mean field perturbative calculation up to the one-loop order indicates that the momentum broadening of jets is enhanced at both high temperature and high chemical potential, and approximately proportional to the parton number density in the partonic phase. We further investigate the behavior of q^ in the vicinity of the critical endpoint (CEP) by coupling our calculation with a recently developed equation of state that includes a CEP in the universality class of the Ising model, from which we discover the partonic critical opalescence, i.e., the divergence of scattering rate of jets and their momentum broadening at the CEP, contributed by scatterings via the σ exchange process. Hence, for the first time, jet quenching is connected with the search of CEP.
期刊介绍:
Chinese Physics Letters provides rapid publication of short reports and important research in all fields of physics and is published by the Chinese Physical Society and hosted online by IOP Publishing.