The NJL model and strange-quark matter

In this paper, we explore whether or not quark deconfinement may occur in high-mass neutron stars such as J1614-2230 (1.97 \pm 0.04 M_Sun) and J0348+0432 (2.01 \pm 0.04 M_Sun). Our study is based on a non-local extension of the SU(3) Nambu Jona-Lasinio (n3NJL) model with repulsive vector interactions among the quarks. This model goes beyond the frequently used local version of the Nambu Jona-Lasinio (NJL) model by accounting for several key features of QCD which are not part of the local model. Confined hadronic matter is treated in the framework of non-linear relativistic mean field theory. We find that both the local as well as the non-local NJL model predict the existence of extended regions of mixed quark-hadron (quark-hybrid) matter in high-mass neutron stars with masses of 2.1 to 2.4 M_Sun. Pure quark matter in the cores of neutron stars is obtained for certain parametrizations of the hadronic lagrangian and choices of the vector repulsion among quarks. The radii of high-mass neutron stars with quark-hybrid matter and/or pure quark matter cores in their centers are found to lie in the canonical range of 12 to 13 km.Comment: 31 pages, 17 figures, PRC accepted versio

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“…[ [28][29][30][31]. The vector interactions are know to be important for the QCD phase diagram [32].…”

Section: Table I Comparesmentioning

confidence: 99%

Quark deconfinement in high-mass neutron stars

et al. 2014

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“…This is the famous 'bag' mechanism. Many important investigations have been done in this direction [11,12,13,14,15,16,17,18,19,20,21,22]. A common feature of these investigations is that quark masses are constant, so the normal thermodynamic formulas can be used without thermodynamic inconsistency problems.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets

et al. 2005

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Thermodynamic formulas for investigating systems with density and/or temperature dependent particle masses are generally derived from the fundamental derivation equality of thermodynamics. Various problems in the previous treatments are discussed and modified. Properties of strange quark matter in bulk and strangelets at both zero and finite temperature are then calculated based on the new thermodynamic formulas with a new quark mass scaling, which indicates that low mass strangelets near β equilibrium are multi-quark states with an anti-strange quark, such as the pentaquark (u 2 d 2s ) for baryon nmber 1 and the octaquark (u 4 d 3s ) for dibaryon etc.

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“…A sum over flavor and color degrees of freedom is implicit. In the mean-field approximation [42], the dynamical quark mass is related to the condensation terms as…”

Section: Thermodynamics Of Magnetized Quark Matter In Su(2) Njl Modelmentioning

confidence: 99%

The compressibility of quark matter under strong magnetic field in the NJL model

Yang,

Wen

2021

Preprint

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The compressibility of magnetized quark matter is investigated in the SU(2) NJL model. The increases of the chemical potential and the temperature can reduce the compressibility, and lead to the much stiffer equation of state. The variation of the compressibility with the magnetic field will depend on the phase region. Due to the anisotropic structure, the compressibility is different in the directions parallel and perpendicular to the field. The discontinuity of longitudinal compressibility with the chemical potential and the temperature captures the signature of a first-order chiral phase transition and the crossover at high temperature. Moreover, the magnetic-field-and-temperature running coupling would have an important effect on the position of the phase transition. Under the lowest landau level approximation at zero temperature, the longitudinal compressibility has a direct inverse proportional relation to the magnetic field strength and the chemical potential square as κ LLL,χ ∝ 1/(eBµ 2 ).

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The NJL model and strange-quark matter

Cited by 15 publications

References 17 publications

Quark deconfinement in high-mass neutron stars

Quark deconfinement in high-mass neutron stars

Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets

The compressibility of quark matter under strong magnetic field in the NJL model

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