Nucleation of quark matter bubbles in neutron stars

Olesen, Michael L.; Madsen, Jes

doi:10.1103/physrevd.49.2698

Cited by 77 publications

(108 citation statements)

References 32 publications

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“…As emphasized in earlier works [4][5][6][7][8][9][10][11], an important characteristic of the deconfinement transition in neutron stars, is that just deconfined quark matter is transitorily out of equilibrium with respect to weak interactions. In fact, depending on the temperature, the transition should begin with the quantum or thermal nucleation of a small quarkmatter drop near the center of the star.…”

Section: Introductionmentioning

confidence: 99%

“…As in previous works [4][5][6][7][8][9][10], we are dealing here with just deconfined quark matter that is temporarily out of chemical equilibrium under weak interactions. The appropriate condition in this case is flavor conservation between hadronic and deconfined quark matter.…”

Section: The Quark Matter Phasementioning

confidence: 99%

“…For typical values of the critical-size β-stable drop (N ∼ 100 − 1000 [6]) the suppression factor is actually tiny. Thus, quark flavor must be conserved during the deconfinement transition [4][5][6][7][8][9][10]. When color superconductivity is included together with flavor conservation, the most likely configuration of the just deconfined phase is 2SC provided the pairing gap is large enough [9].…”

Section: Introductionmentioning

confidence: 99%

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Deconfinement transition in protoneutron stars: Analysis within the Nambu–Jona-Lasinio model

et al. 2010

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We study the effect of color superconductivity and neutrino trapping on the deconfinement transition of hadronic matter into quark matter in a protoneutron star. To describe the strongly interacting matter a two-phase picture is adopted. For the hadronic phase we use different parameterizations of a non-linear Walecka model which includes the whole baryon octet. For the quark matter phase we use an SU (3) f Nambu-Jona-Lasinio effective model which includes color superconductivity. We impose color and flavor conservation during the transition in such a way that just deconfined quark matter is transitorily out of equilibrium with respect to weak interactions. We find that deconfinement is more difficult for small neutrino content and it is easier for lower temperatures although these effects are not too large. In addition they will tend to cancel each other as the protoneutron star cools and deleptonizes, resulting a transition density that is roughly constant along the evolution of the protoneutron star. According to these results the deconfinement transition is favored after substantial cooling and contraction of the protoneutron star.

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Section: Introductionmentioning

confidence: 99%

Section: The Quark Matter Phasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Deconfinement transition in protoneutron stars: Analysis within the Nambu–Jona-Lasinio model

et al. 2010

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“…The LSM, the NJL with parameter set I, and the three-flavor NJL display similar behaviors. The temperature dependence of the surface tension may be relevant for the thermal formation of quark droplets in cold hadronic matter found in "hot" protoneutron stars whose temperatures, T * , are of the order 10-20 MeV [9,34,35]. For T * the relevant value of γ T * may be estimated by using table I together with Fig.…”

Section: B Finite Temperaturementioning

confidence: 99%

Surface tension of quark matter in a geometrical approach

2012

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The surface tension of quark matter plays a crucial role for the possibility of quark matter nucleation during the formation of compact stellar objects, because it determines the nucleation rate and the associated critical size. However, this quantity is not well known and the theoretical estimates fall within a wide range, γ0 ≈ 5 − 300 MeV/fm 2 . We show here that once the equation of state is available one may use a geometrical approach to obtain a numerical value for the surface tension that is consistent with the model approximations adopted. We illustrate this method within the two-flavor linear σ model and the Nambu-Jona-Lasinio model with two and three flavors. Treating these models in the mean-field approximation, we find γ0 ≈ 7−30 MeV/fm 2 . Such a relatively small surface tension would favor the formation of quark stars and may thus have significant astrophysical implications. We also investigate how the surface tension decreases towards zero as the temperature is raised from zero to its critical value.

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“…After Witten's conjecture in 1984 [1] that the strange quark matter (SQM) (consisting of roughly equal number of u, d and s quarks) might be absolutely stable compared to iron, several model studies have been made on its stability propertites at zero temperature [2][3][4][5][6][7][8][9][10] as well as at finite temperatures [11][12][13][14][15]. Particularly, in view of relativistic heavy ion collisions (RHIC) and the possibility of quark-gluon plasma (QGP) formation, it has become interesting to investigate theoretically as well as experimentally the possible existence of a stable or metastable lump of SQM termed as strangelet [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Erratum: Strangelets at finite temperature

Mustafa¹,

Ansari²

1996

Phys. Rev. D

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Within the MIT bag model picture of QCD, we have studied the stability of finite size strangelets at finite temperature with baryon number A ≤ 100.The light quarks u and d are considered massless while mass of the s quark is taken as 150 MeV. Using discrete eigen energies of the non-interacting quarks in the bag, grand canonical partition function is constructed and then the free energy is minimized with respect to the bag radius. In the T → 0 limit clear shell structures are found which persist upto about T = 10 MeV. Infact for A = 6 the shell structure disappears only at T > 20 MeV.

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Nucleation of quark matter bubbles in neutron stars

Cited by 77 publications

References 32 publications

Deconfinement transition in protoneutron stars: Analysis within the Nambu–Jona-Lasinio model

Deconfinement transition in protoneutron stars: Analysis within the Nambu–Jona-Lasinio model

Surface tension of quark matter in a geometrical approach

Erratum: Strangelets at finite temperature

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