Pion mass shift and the kinetic freeze-out process

Zschocke, Sven; Csernai, L. P.

doi:10.1140/epja/i2008-10717-0

Cited by 3 publications

(5 citation statements)

References 93 publications

(158 reference statements)

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“…The reason is that at low temperatures the shift is negligible while at higher temperatures, when it becomes sizable, pion momenta are distributed near p ∼ T so that the mass terms become small in the dispersion relation. In [36] it is also pointed out that an increasing temperature-dependent pion mass is consistent with the existence of hadronlike states prior to hadronization, with a mass larger than their vacuum value, which could explain the experimentally observed quark number scaling in elliptic flow.…”

Section: Introductionmentioning

confidence: 70%

“…On the other hand, a detailed analysis of the impact of the thermal pion mass shift in freeze-out parameters [36] shows a tiny effect from M π ðTÞ, taken as that predicted by one-loop ChPT and hence very soft and increasing. The reason is that at low temperatures the shift is negligible while at higher temperatures, when it becomes sizable, pion momenta are distributed near p ∼ T so that the mass terms become small in the dispersion relation.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic effects in the pion dispersion relation at finite temperature

Nicola

Andrés

2014

Phys. Rev. D

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We investigate the charged-neutral difference in the pion self-energy at finite temperature T. Within chiral perturbation theory (ChPT) we extend a previous analysis performed in the chiral and soft pion limits. Our analysis with physical pion masses leads to additional non-negligible contributions for temperatures typical of a meson gas, including a momentum-dependent function for the self-energy. In addition, a nonzero imaginary part arises to leading order, which we define consistently in the Coulomb gauge and comes from an infrared enhanced contribution due to thermal bath photons. For distributions typical of a heavy-ion meson gas, the charged and neutral pion masses and their difference depend on temperature through slowly increasing functions. Chiral symmetry restoration turns out to be ultimately responsible for keeping the charged-neutral mass difference smooth and compatible with the observed charged and neutral pion spectra. We study also phenomenological effects related to the thermal electromagnetic damping, which gives rise to corrections for transport coefficients and distinguishes between neutral and charged mean free times. An important part of the analysis is the connection with chiral symmetry restoration through the relation of the pion mass difference with the vector-axial spectral function difference, which holds at T ¼ 0 due to a sum rule in the chiral and soft pion limits. We analyze the modifications of that sum rule including nonzero pion masses and temperature, up to OðT 2 Þ ∼ OðM 2 π Þ. Both effects produce terms making the pion mass difference grow against chiral-restoring decreasing contributions. Finally, we analyze the corrections to the previous ChPT and sum rule results within the resonance saturation framework at finite temperature, including explicitly ρ and a 1 exchanges. Our results show that the ChPT result is robust at low and intermediate temperatures, the leading resonance corrections within this framework being OðT 2 M 2 π =M 2 R Þ with M R the involved resonance masses.

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Section: Introductionmentioning

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Electromagnetic effects in the pion dispersion relation at finite temperature

Nicola

Andrés

2014

Phys. Rev. D

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“…The suffix n B , T at chiral condensate denotes the Gibbs average over hadron states and meson states [9,[11][12][13] and references therein. Note that for isospin-symmetric matter there is no difference in the density and temperature dependence of u-quark and d-quark condensate, that means qq n B ,T ≡ uu n B ,T = dd n B ,T .…”

Section: B Constituent Quark Mass In a Hot And Dense Mediummentioning

confidence: 99%

Nonequilibrium hadronization and constituent quark number scaling

et al. 2011

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The constituent quark number scaling of elliptic flow is studied in a nonequilibrium hadronization and freeze-out model with rapid dynamical transition from ideal, deconfined, and chirally symmetric quark-gluon plasma, to final noninteracting hadrons. In this transition a bag model of constituent quarks is considered, where the quarks gain constituent quark mass while the background bag field breaks up and vanishes. The constituent quarks then recombine into simplified hadron states, while chemical, thermal, and flow equilibrium break down one after the other. In this scenario the resulting temperatures and flow velocities of baryons and mesons are different. Using a simplified few source model of the elliptic flow, we are able to reproduce the constituent quark number scaling, with assumptions on the details of the nonequilibrium processes.

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“…The suffix n B , T at chiral condensate denotes the average over hadron and meson states [7,9]. In the limit of high densities and temperatures the constituent quark mass, M f , approaches the current quark mass, m f .…”

Section: Change Of Constituent Quark Massmentioning

confidence: 99%

“…Here, in order to determine the density and temperature dependence of the chiral condensate we follow the arguments of Ref. [6][7][8], where the first leading terms of qq n B ,T in the low-density low-temperature expansion have been obtained [9] in terms of qq 0 and the temperature and baryon density, n B = f =u,d n f − n f / 3. Thus, we obtained the expression for the in-medium mass of constituentquarks q (either u or d):…”

Section: Change Of Constituent Quark Massmentioning

confidence: 99%

Quark Number Scaling in Fluid Dynamics and Hadronization via Quarkyonic Matter

Csernai

Cheng

Horvát

et al. 2011

EPJ Web of Conferences

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NCQ scaling of elliptic flow is studied in a non-equilibrium hadronization and freeze-out model from ideal, deconfined and chirally symmetric Quark Gluon Plasma (QGP), to final non-interacting hadrons. In this transition the quarks gain constituent quark mass while the background Bag-field breaks up. The constituent quarks then recombine into simplified hadron states, while chemical, thermal and flow equilibrium break down. Then the resulting temperatures and flow velocities of baryons and mesons will be different. In a simplified model, we reproduce the constituent quark number scaling.

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Pion mass shift and the kinetic freeze-out process

Cited by 3 publications

References 93 publications

Electromagnetic effects in the pion dispersion relation at finite temperature

Electromagnetic effects in the pion dispersion relation at finite temperature

Nonequilibrium hadronization and constituent quark number scaling

Quark Number Scaling in Fluid Dynamics and Hadronization via Quarkyonic Matter

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