Cross sections in the Polyakov–Nambu–Jona-Lasinio model: study of reactions involving quarks, antiquarks, mesons, diquarks and baryons

Blanquier, Eric

doi:10.1088/0954-3899/39/10/105003

Cited by 5 publications

(8 citation statements)

References 77 publications

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“…As with the other constants that appear in these equations, its value can vary in the literature. In my previous papers [69][70][71] and in this one, I consider two sets of parameters, named P1 and EB, which gather the used values, [29,60,89]. However, it is not uncommon to treat these constants as more or less independent ones [69,90].…”

Section: Introductionmentioning

confidence: 99%

Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Blanquier¹

2017

Eur. Phys. J. A

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The color superconductivity was studied with an adaptation of the Nambu and Jona-Lasinio model (NJL). This one was coupled to a Polyakov loop, to form the PNJL model. A µdependent Polyakov loop potential was considered. An objective of the presented works was to describe the analytical calculations required to establish the equations to be solved, in all of the treated cases. They concerned the normal quark phase, the 2-flavor color-superconducting and the color-flavor-locked phases, in an ( ) ( ) 3 3 f c SU SU × description. The calculationswere performed according to the temperature T , the chemical potentials f µ or according to the densities f ρ , with or without the isospin symmetry. Among the obtained results, it was found that at low T , the restoration of the chiral symmetry, the deconfinement transition and the transition between the normal quark and 2-flavor color-superconducting phases occur via first order phase transitions at the same chemical potential. Moreover, an sSC phase was identified in the , q s ρ ρ plane.PACS numbers: 11.10. Wx, 11.30.Rd, 25.75.Nq ( )3 flavor SU description, one mainly mentions the 2-flavor color-superconducting (2SC) phase, in which u and d quarks form pairs, and the color-flavor-locked (CFL) phase that involves ud, us and ds pairs. Other phases were also imagined: recent works related to this topic [19][20][21][22][23][24] show rather complex phase diagrams to represent them. In Nature, some of these ones are expected to constitute the core of neutron stars or, more generally, of compact stars. Future accelerator programs plan to explore the high densities regions of the phase diagram. Color superconductivity may be probably accessible to them [25]. To describe the color superconductivity theoretically, the QCD should be the best tool to be considered. However, at high densities, some difficulties appear in a QCD description involving the three quark colors, caused by the fermion sign problem [26]. Even if some approaches have been developed to take this problem into account [5], it constitutes a serious limitation in the study of the dense matter with the QCD.The Nambu and Jona-Lasinio (NJL) model [27,28] constitutes a reliable alternative. The main idea of this approach consists in gathering the various interactions between the quarks/antiquarks in punctual ones. It leads to consider massive gluons, described by constant terms. So, the gluon degrees of freedom are frozen in this description [29]. This model was progressively improved [29][30][31][32][33][34][35][36][37][38][39][40][41][42], in order to obtain an interesting approach to describe the quark physics at low energies. With the use of Matsubara's formalism [43], the NJL approach is fully able to work at finite temperature. The model is also usable at finite chemical potentials or finite densities. As a consequence, the NJL model appears as a serious candidate to study the color superconductivity. In fact, even if other models may also be considered, like the Dyson-Schwinger approach [44,45] or the instanton...

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Section: Introductionmentioning

confidence: 99%

Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Blanquier¹

2017

Eur. Phys. J. A

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“…Secondly, this concerns the study of reactions involving mesons, diquarks and baryons, via the calculations of the corresponding cross-sections. The relevance of reactions like q q M M + → + , q q M D + → + , D D q B + → + , q q q B + → + and q D M B + → + on the mesonization or baryonization processes has been underlined [55,56] (q, D, M and B stand for, respectively, quark, diquark, meson and baryon). It should be instructive to investigate the influence of the 2SC phase on such reactions.…”

Section: Discussionmentioning

confidence: 99%

“…All these particles have been studied in the NJL and PNJL models, according to the temperature and the baryonic density [53,54]. Their masses are usable to intervene in cross-section calculations [55] and then in a dynamical model of evolution [56]. In the (P)NJL literature, the masses of these composite particles are frequently estimated with the method of Ref.…”

Section: Introductionmentioning

confidence: 99%

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Mesons and diquarks in a color superconducting regime

Blanquier¹

2022

Int. J. Mod. Phys. A

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The behavior of the mesons and diquarks is studied at finite temperatures, chemical potentials and densities, notably when the color superconductivity is taken into account. The Nambu and Jona-Lasinio model complemented by a Polyakov loop (PNJL description) has been adapted in order to model them in this regime. This paper focuses on the scalar and pseudoscalar mesons and diquarks, in a three-flavor and three-color description, with the isospin symmetry and at zero strange density. An objective of this work is to underline the modifications carried out by the color superconducting regime on the used equations and on the obtained results. It has been observed that the two-flavor color-superconducting (2SC) phase affects the masses and the coupling constants of the mesons and diquarks in a non-negligible way. This observation is particularly true at high densities and low temperatures for the pions, [Formula: see text] and the diquarks [Formula: see text] whose color is [Formula: see text]. This reveals that the inclusion of the color superconductivity in the modeling is relevant to describe the mesons and diquarks near the first-order chiral phase transition.

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“…To consider the quark-baryon case, an additional issue arises: one should treat properly the loop formed by the quark and the diquark that form the baryon. As demonstrated in [41], taking into account the finite chemical potential results in some suppression of the scattering cross sections at large µ. The PNJL approach should also be generalized to the SU f (3) symmetry.…”

Section: Discussionmentioning

confidence: 99%

Quark scattering off quarks and hadrons

2014

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The in-medium elastic scattering qq → qq, qq → qq andqq →qq is calculated within the two-flavor Polyakov-loop-extended Nambu-Jona-Lasinio model. The integral and differential quark-quark scattering, its energy and temperature dependence are considered and their flavor dependence is emphasized. The comparison with results of other approaches is presented. The consideration is implemented to the case of quark-pion scattering characterizing the interaction between quarks and hadrons in a kinetic multiphase treatment, and the first estimate of the quark-pion cross sections is given. A possible application of the obtained results to heavy ion collisions is shortly discussed.

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Cross sections in the Polyakov–Nambu–Jona-Lasinio model: study of reactions involving quarks, antiquarks, mesons, diquarks and baryons

Cited by 5 publications

References 77 publications

Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Mesons and diquarks in a color superconducting regime

Quark scattering off quarks and hadrons

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