Publication: Charge and isospin fluctuations in a non-ideal pion gas with dynamically fixed particle number
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2021
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© 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.We study the behavior of the non-ideal pion gas with the dynamically fixed number of particles, formed on an intermediate stage in ultra-relativistic heavy-ion collisions. The pion spectrum is calculated within the self-consistent Hartree approximation. General expressions are derived for cross-covariances of the number of various particle species in the pion gas of an arbitrary isospin composition. The behavior of the cross-variances is analyzed for the temperature approaching from above the maximal critical temperature of the Bose–Einstein condensation for the pion species a= ± , 0 , i.e. for T>maxTcra. It is shown that in the case of the system with equal averaged numbers of isospin species, the variance of the charge, Q= N+- N-, diverges at T→Tcr=Tcra, whereas variances of the total particle number, N= N++ N-+ N, and of a relative abundance of charged and neutral pions, G= (N++ N-) / 2 - N, remain finite in the critical point. Then, fluctuations are studied in the pion gas with small isospin imbalance 0 < | G| ≪ N and 0 < | Q| ≪ N and shifts of the effective masses, chemical potentials, and values of critical temperatures are calculated for various pion species, and the highest critical temperature, maxTcra is found, above which the pion system exists in the non-condensed phase. Various pion cross variances are calculated for T>maxTcra, which prove to be strongly dependent on the isospin composition of the system, whereas the variances of N and G are found to be independent on the isospin imbalance up to the term linear in G/N and Q/N.
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Kolomeitsev, E. E. Charge and isospin fluctuations in a non-ideal pion gas with dynamically fixed particle number / Kolomeitsev, E.E., Borisov, M.E., Voskresensky, D.N. // European Physical Journal A. - 2021. - 57. - № 4. - 10.1140/epja/s10050-021-00457-0
URI
https://www.doi.org/10.1140/epja/s10050-021-00457-0
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https://openrepository.mephi.ru/handle/123456789/23940
https://www.scopus.com/record/display.uri?eid=2-s2.0-85104825257&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000642998500002
https://openrepository.mephi.ru/handle/123456789/23940