Mesons and diquarks in neutral color superconducting quark matter with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>equilibrium

Эберт, Д.; Klimenko, K. G.; Yudichev, V. L.

doi:10.1103/physrevd.75.025024

Cited by 17 publications

(21 citation statements)

References 72 publications

(127 reference statements)

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“…Such a work could also take into account the influence on these phases of the extreme magnetic fields present in some compact stars (magnetars) [132][133][134][135][136][137][138]. Moreover, another possible continuation of the presented studies may be the update of the description of the mesons and baryons in the color superconducting regime, in order to complete the comparison between the NJL/PNJL/ µ PNJL descriptions and the ∆ NJL/ ∆ PNJL/ µ ∆ PNJL ones [90,101,103,139,140]. Furthermore, (A9) is also usable to perform the Matsubara summations in (28), (31) and (36).…”

Section: Discussionmentioning

confidence: 99%

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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: Discussionmentioning

confidence: 99%

“…Its objective is to estimate the normal propagator S + of the quarks and the one of antiquarks S − starting directly from the definition of 1 S − ɶ , equation (12). These ones are obtained with the relation [15,16,96,97,100,101] ( )…”

Section: Treatment Of the M ω Termmentioning

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 diquarks from scalar and pseudoscalar octets are resonances with mass around 230 MeV. The properties of diquarks in the CFL phase were also considered earlier in the papers [2,3].…”

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confidence: 92%

“…at p = (p 0 , 0, 0, 0), the meson and diquark masses are the zeros of the determinant of this matrix. So, after tedious both analytical and numerical calculations (the details are presented in [2]) we have obtained the following results on the mass spectrum of the bosonic excitations of the CFL phase.…”

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Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter

2005

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The spectrum of meson and diquark excitations of dense color neutral cold quark matter is investigated in the framework of a 2-flavored Nambu-Jona-Lasinio type model, including a quark µ-and color µ8 chemical potential. It was found out that in the color superconducting (2SC) phase, i.e. at µ > µc = 342 MeV, µ8 aquires rather small values ∼ 10 MeV in order to ensure the color neutrality. In this phase the π-and σ meson masses are evaluated around ∼ 330 MeV. The spectrum of scalar diquarks in the color neutral 2SC phase consists of a heavy (SUc(2)-singlet) resonance with mass ∼ 1100 MeV, four light diquarks with mass 3|µ8|, and one Nambu -Goldstone boson which is in accordance with the Goldstone theorem. Moreover, in the 2SC phase there are five light stable particles as well as a heavy resonance in the spectrum of pseudo-scalar diquarks. In the color symmetric phase, i.e. for µ < µc, a mass splitting of scalar diquarks and antidiquarks is shown to arise if µ = 0, contrary to the case of µ = 0, where the masses of scalar antidiquarks and diquarks are degenerate at the value ∼ 700 MeV. If the coupling strength in the pseudo-scalar diquark channel is the same as in the scalar diquark one (as for QCD-inspired NJL models), then in the color symmetric phase pseudo-scalar diquarks are not allowed to exist as stable particles.

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“…В контексте модели НИЛ исследовались спектры π-и σ-мезона и дикварка [8], [9]; при изучении возбуждения мезона и дикварка в плотной кварковой материи было обнаружено, что переход первого рода происходит, когда химический потенциал превышает критическое значение µ c = 350 МэВ [8]. В последующей работе [10] с использованием двух моделей НИЛ с ароматом был проведен анализ спектров масс мезонов и дикварков с локальной электронейтральностью и β-равновесием. Обнаружилось, что в случае двухцветовой сверхпроводимости условия цветовой и электрической нейральности, а также β-равновесия существенно изменяют спектры масс π-и σ-мезона и дикварка по сравнению с кварковой материей, не обладающей свойством нейтральности.…”

Section: Introductionunclassified

Изучение Дикварковой И Мезонной Конденсации В Модели Намбу-Йона-Лазинио С Импульсом Ферми

Гош¹,

Ghosh²,

Бхаттачариа³

et al. 2017

TMF

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В рамках модели Намбу-Йона-Лазинио исследуется кварк-антикварковая и дикварковая конденсация, для чего применяется трех- и четырехмерная регуляризация Паули-Вилларса. Вычисляется ширина энергетической щели и длина когерентности для мезонной конденсации $\langle q\bar q\rangle$ при использовании импульса Ферми частицы в качестве параметра обрезания, а также ширина энергетической щели и критическая длина когерентности (расстояние, вдоль которого не происходит конденсации дикварков) для дикварка $\langle qq\rangle$ в зависимости от импульса Ферми. Получены оценки величины импульса Ферми для мезонного и дикваркового конденсатов при ширине энергетической щели порядка 100 МэВ.

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Mesons and diquarks in neutral color superconducting quark matter withβequilibrium

Cited by 17 publications

References 72 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 the color neutral superconducting phase of dense cold quark matter

Изучение Дикварковой И Мезонной Конденсации В Модели Намбу-Йона-Лазинио С Импульсом Ферми

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