Pion properties at finite isospin chemical potential with isospin symmetry breaking

Wu, Zuqing; Ping, J. L.; Zong, Hong-Shi

doi:10.1088/1674-1137/41/12/124106

Cited by 3 publications

(3 citation statements)

References 55 publications

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“…At finite temperature the gap between the two critical |µ I | becomes smaller and eventually the window for the pion condensate phase closes: at very high temperature there is room for the normal phase only, see for example Fig. 4 of [74].…”

Section: Introductionmentioning

confidence: 99%

“…Many aspects of pion condensate have been extensively studied in the effective field theories [57][58][59][60][61][62], lattice simulations [44,[63][64][65][66], Dyson-Schwinger equations [67] and effective models [67][68][69][70][71][72][73][74][75][76][77]. We also mention that a new type of compact star made of a charged pion condensate has been proposed recently [61,[78][79][80].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamics and susceptibilities of isospin imbalanced QCD matter

2020

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We study the thermodynamics and the susceptibilities of quark matter in the framework of twoflavor Nambu−Jona-Lasinio model at finite isospin chemical potential and temperature. Isospin number density, normalized energy density and trace anomaly are shown to be in good agreement with the available lattice data as well as with the results from chiral perturbation theory at zero temperature. We also study how susceptibilities depend on the isospin chemical potential and on temperature. We find a peak for the chiral, pion, and isospin susceptibilities at the critical isospin chemical potential, µ c I (T ), at the boundary of the phase transition between the normal and pion superfluid phase. Moreover, temperature makes the transition from normal to pion condended phase smoother. We also note that the pion susceptibility always remains zero in the normal phase while it is finite in the superfluid phase.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermodynamics and susceptibilities of isospin imbalanced QCD matter

2020

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“…何联毅等 [30,31] 以及Warringa 等 [32] 在NJL模型框架下, 同样证实随着同位旋化学势的增加, 系统会在同位旋化学势等于pion介子质量时 , 从正常相进入到超流相 . 除此之外 , Adhikari等 [33,34]…”

Section: Qcd物质状态方程以及相图等 2001年 Son和unclassified

Equation of state and thermodynamic properties of isospin imbalanced strongly interacting matter

Qi¹,

Chen²,

Zhen-Yan³

et al. 2021

Acta Phys. Sin.

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The effects of temperature and baryon chemical potential on equation of state and thermodynamics of isospin imbalanced QCD matter are investigated in the framework of two-flavor Nambu−Jona-Lasinio model. The equation of state at zero temperature and baryon chemical potential as well as the isospin density and normalized pressure at finite temperature are shown to be consistent with the lattice data. We also find that the energy per isospin increases monotonically with the increase of isospin density at vanishing temperature and baryon chemical potential, while it first decreases and then increases with the augment of isospin density, behaving as a non-symmetric parabolic curve. Finally, we compute the sound velocity and find that it is discontinuous at the phase transition point for finite temperature and/or baryon chemical potential. In particular, the sound velocity in the superfluid phase is distinctly larger than that in the ordinary nuclear matter and quark matter, while the temperature and baryon chemical potential included in the superfluid phase makes the equation of state softer and the sound velocity slower.

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Static properties of skyrmions and nucleons at finite isospin chemical potential

Yuan

Zhao

et al. 2021

Mod. Phys. Lett. A

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We use the Skyrme Lagrangian with a finite pion mass term to study the stability of the skyrmion at finite isospin chemical potential [Formula: see text]. It is found that there is a critical value [Formula: see text] MeV, and there is no stable solution above the [Formula: see text]. We also explore the behavior of different skyrmion parameters as a function of [Formula: see text], in particular the isovector electric root-mean-square (rms) charge radius in this work. Then, using the Hamiltonian formulation, in terms of collective variables, we study the behavior of nucleons mass splitting at finite isospin chemical potential. We find the proton mass decreases and the neutron mass increases when [Formula: see text]. Finally, we also discuss the magnetic moments and the pion-nucleon sigma term [Formula: see text] as a function of isospin chemical potential for interest.

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Pion properties at finite isospin chemical potential with isospin symmetry breaking

Cited by 3 publications

References 55 publications

Thermodynamics and susceptibilities of isospin imbalanced QCD matter

Thermodynamics and susceptibilities of isospin imbalanced QCD matter

Equation of state and thermodynamic properties of isospin imbalanced strongly interacting matter

Static properties of skyrmions and nucleons at finite isospin chemical potential

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