Critical temperature for shape transition in hot nuclei within covariant density functional theory

Zhang, W.; Niu, Y.

doi:10.1103/physrevc.97.054302

Cited by 22 publications

(14 citation statements)

References 48 publications

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“…The temperature effects on the ground-state properties [31][32][33][34][35][36][37] and excitations [38][39][40][41][42][43][44][45][46][47][48] in nuclei have also been the subject of several studies, not only to understand their properties under extreme conditions, but also in relation to their relevance for astrophysical processes. Long ago, the effect of temperature on the stellar electron capture rates was studied in neutron-rich germanium isotopes using the hybrid model composed of the shell model Monte Carlo (SMMC) approach and the random phase approximation (RPA) [41].…”

Section: Introductionmentioning

confidence: 99%

Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects

et al. 2020

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The relativistic and non-relativistic finite temperature proton-neutron quasiparticle random phase approximation (FT-PNQRPA) methods are developed to study the interplay of the pairing and temperature effects on the Gamow-Teller excitations in open-shell nuclei, as well as to explore the model dependence of the results by using two rather different frameworks for effective nuclear interactions. The Skyrme-type functional SkM* is employed in the non-relativistic framework, while the densitydependent meson-exchange interaction DD-ME2 is implemented in the relativistic approach. Both the isoscalar and isovector pairing interactions are taken into account within the FT-PNQRPA. Model calculations show that below the critical temperatures the Gamow-Teller excitations display a sensitivity both to the finite temperature and pairing effects, and this demonstrates the necessity for implementing both in the theoretical framework. The established FT-PNQRPA opens perspectives for the future complete and consistent description of astrophysically relevant weak interaction processes in nuclei at finite temperature such as beta decays, electron capture and neutrino-nucleus reactions.

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Section: Introductionmentioning

confidence: 99%

Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects

et al. 2020

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“…To investigate the LG phase transition of thermal nuclear matter, the covariant density functional (CDF) theory [41][42][43][44][45][46][47][48][49] has been extended to the case of finite temperature, with many important achievements in describing the EoS of thermal nuclear matter [50][51][52][53][54][55][56], the physics of supernova and proto-neutron star [57][58][59][60][61][62][63][64], and properties of excited hot nuclei [65][66][67][68][69][70][71], etc.. The critical temperatures of LG phase transition within the CDF calculations, in general locating around T C ≈ 15 MeV, still keep model dependence [7,[38][39][40].…”

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confidence: 99%

Critical parameters of the liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter

2019

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The properties of critical parameters and phase diagram structure of liquid-gas phase transition are investigated in thermal symmetric and asymmetric nuclear matter with the covariant density functional (CDF) theory. Although uncertainty remains in predicting the critical parameters such as the critical temperature and pressure from various CDF functionals, several correlations are explored numerically and verified to be approximately linear between them. These correlations become worse when nuclear matter is more isospin asymmetric, resulting mainly from the effects induced by symmetry energy. By looking over the isospin dependence of the critical temperature, the role of the symmetry energy in LG transition properties of asymmetric matter is realized. The change of critical temperature with isospin asymmetry is found to be correlated well with and as a consequence could be constrained by the density slope of symmetry energy at saturation density. Then, the structure of phase diagram of thermal nuclear matter is analyzed carefully. It is revealed that the contribution from symmetry energy dominates the size of liquid-gas phase coexistence area. Moreover, the specific pattern of the phase diagram could be determined by the critical temperature at non-zero isospin asymmetry, illustrated from the correlations of the temperature with pressures at several characteristic points, paving the possible way to further explore the structure of liquid-gas phase diagram of thermal nuclear matter.

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“…Furthermore, in the non relativistic FT-QRPA calculations axial-symmetry is assumed while the FT-PNRQRPA assumes spherical symmetry. Although a shape-phase transition is expected from deformed to a spherical state at high temperatures [90,91], deformation can persist at T = 10 GK, which leads to differences between two sets of EC rates. In Fig.…”

Section: Figmentioning

confidence: 99%

Finite-temperature electron-capture rates for neutron-rich nuclei around N=50 and effects on core-collapse supernovae simulations

Giraud,

Ney,

Ravlić

et al. 2021

Preprint

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The temperature dependence of stellar electron-capture (EC) rates is investigated, with a focus on nuclei around N = 50, just above Z = 28, which play an important role during the collapse phase of core-collapse supernovae (CCSN). Two new microscopic calculations of stellar EC rates are obtained from a relativistic and a non-relativistic finite-temperature quasiparticle random-phase approximation approaches, for a conventional grid of temperatures and densities. In both approaches, EC rates due to Gamow-Teller transitions are included. In the relativistic calculation contributions from first-forbidden transitions are also included, and add strongly to the EC rates. The new EC rates are compared with large-scale shell model calculations for the specific case of 86 Kr, providing insight into the finite-temperature effects on the EC rates. At relevant thermodynamic conditions for core-collapse, the discrepancies between the different calculations of this work are within about one order of magnitude. Numerical simulations of CCSN are performed with the spherically-symmetric GR1D simulation code to quantify the impact of such differences on the dynamics of the collapse. These simulations also include EC rates based on two parametrized approximations. A comparison of the neutrino luminosities and enclosed mass at core bounce shows that differences between simulations with different sets of EC rates are relatively small (≈ 5%), suggesting that the EC rates used as inputs for these simulations have become well constrained.

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Critical temperature for shape transition in hot nuclei within covariant density functional theory

Cited by 22 publications

References 48 publications

Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects

Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects

Critical parameters of the liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter

Finite-temperature electron-capture rates for neutron-rich nuclei around N=50 and effects on core-collapse supernovae simulations

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