Thermodynamic instabilities of nuclear matter at finite temperature with finite range effective interactions

Ventura, J.; Polls, A.; Viñas, X.; Hernández, Susana Muñoz; Pí, M.

doi:10.1016/0375-9474(92)90464-u

Cited by 7 publications

(11 citation statements)

References 14 publications

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“…8. In this way, we obtain T liq-gas c = 15.9 MeV, which coincides with the mean-field result [19,20]. The fact that T liq-gas c remains unchanged is an artifact of our present approach to treat the correlation effects only at a perturbative level, as explained in Sec.…”

Section: ∂P ∂N T Liq-gassupporting

confidence: 87%

“…1 For details of the HF description of nuclear matter at finite temperature with the Gogny force, see Refs. [18][19][20].…”

Section: Formalismmentioning

confidence: 99%

“…In principle, m * is momentum dependent [20]. Here we use the effective mass defined by expanding Eq.…”

Section: Formalismmentioning

confidence: 99%

“…Eq. (20)]. However, since there is a first-order phase transition, n is not a single-valued function of µ any more.…”

Section: B Pressure and Liquid-gas Transitionmentioning

confidence: 99%

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BEC-BCS crossover and the liquid-gas phase transition in hot and dense nuclear matter

2010

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11 pages, 12 figures; v2: minor modifications of the text, references addedThe effect of nucleon-nucleon correlations in symmetric nuclear matter at finite temperature is studied beyond BCS theory. Starting from a Hartree-Fock description of nuclear matter with the Gogny effective interaction, we add correlations corresponding to the formation of preformed pairs and scattering states above the superfluid critical temperature within the in-medium T-matrix approach, which is analogous to the Nozieres-Schmitt-Rink theory. We calculate the critical temperature for a BEC superfluid of deuterons, of a BCS superfluid of nucleons, and in the crossover between these limits. The effect of the correlations on thermodynamic properties (equation of state, energy, entropy) and the liquid-gas phase transition is discussed. Our results show that nucleon-nucleon correlations beyond BCS play an important role for the properties of nuclear matter, especially in the low-density region

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Section: ∂P ∂N T Liq-gassupporting

confidence: 87%

“…1 For details of the HF description of nuclear matter at finite temperature with the Gogny force, see Refs. [18][19][20].…”

Section: Formalismmentioning

confidence: 99%

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BEC-BCS crossover and the liquid-gas phase transition in hot and dense nuclear matter

2010

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“…[6]: n = n HF + n corr . Where the n HF is the normal HF density [7] and the correlation contribution reads n corr = 6…”

Section: Formalismmentioning

confidence: 99%

BCS-BEC crossover and liquid-gas phase transition in nuclear matter

Meng¹,

Urban²,

Schuck³

2011

J. Phys.: Conf. Ser.

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Abstract. The effect of nucleon-nucleon correlations in symmetric nuclear matter at finite temperature is studied beyond BCS theory. We calculate the critical temperature for a BEC superfluid of deuterons, of a BCS superfluid of nucleons, and in the crossover between these limits. The effect of the correlations on the liquid-gas phase transition is discussed. Our results show that nucleon-nucleon correlations beyond BCS play an important role for the properties of nuclear matter, especially in the low-density region. IntroductionPairing and nucleon-nucleon correlations are important properties of interacting nuclear systems. For example, in the weak-coupling limit, i.e., at high density, the nucleons form Cooper pairs, and below a certain critical temperature T c the system is in a superfluid phase as described by the Bardeen-Cooper-Schrieffer (BCS) theory. In the strong-coupling limit, i.e., at low density, neutrons and protons form deuteron bound states which will condense if the temperature is below the critical temperature for the corresponding Bose-Einstein condensation (BEC). It was believed that there is a smooth crossover which connecting the BCS and BEC limits. Qualitatively, especially at zero temperature, these features can be studied within the BCS (mean field) approximation. Quantitatively, however, the critical temperature obtained in this way is too high because the BCS theory does not include the existence of non-condensed pairs at finite temperature. In order to go beyond mean field, one has to consider pair correlations already above the critical temperature, as in the Nozières-Schmitt-Rink (NSR) theory [1].It is well known that there exists a liquid-gas phase transition in nuclear matter. Within mean-field theory, we know that the BCS-BEC crossover is completely covered by the instability region of the liquid-gas phase transition. In the case of the ultracold atomic Fermi gases, because the pair correlations stabilize the gas [1] such that the system does not collapse into its solid ground state but it remains in its metastable gas state. By analogy, one expects that pair correlations will stabilize low-density nuclear matter and thus reduce the liquid-gas coexistence region. One of our subjects of investigation is to evaluate quantitatively the strength of this effect of nucleon-nucleon correlations on the liquid-gas phase transition.

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Spectral and thermodynamical properties of symmetric nuclear matter with Gogny interaction

et al. 1994

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Thermodynamic instabilities of nuclear matter at finite temperature with finite range effective interactions

Cited by 7 publications

References 14 publications

BEC-BCS crossover and the liquid-gas phase transition in hot and dense nuclear matter

BEC-BCS crossover and the liquid-gas phase transition in hot and dense nuclear matter

BCS-BEC crossover and liquid-gas phase transition in nuclear matter

Spectral and thermodynamical properties of symmetric nuclear matter with Gogny interaction

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