Effects of Finite Temperature and Pairing Correlations in Multi-$\Lambda$ Hypernuclei

Abstract

The influence of finite temperatures and pairing correlations on the ground state properties of multi $\Lambda$- Ca, Sn and Pb hypernuclei is explored using finite temperature Hartree Fock Bogoliubov approach and contact pairing interaction. A critical temperature is predicted and is in agreement with the Bardeen Cooper Schrieffer relationship $k_B{T}_C^{\Lambda }\approx 0.5{\Delta }_{\Lambda }^{T=0}$, beyond which pairing correlations drop to zero. Particle densities, $\Lambda$ single particle energies, and nuclear radii are weakly impacted by pairing as well as by finite temperatures. However, other nuclear properties which are more sensitive to pairing correlations, such as $\Lambda$ pairing gaps, condensation energies, and abnormal densities are also more impacted by finite temperature, especially around the critical temperature. Furthermore, calculations show the occurrence of the pairing re-entrance effect in the ${}_{70\Lambda }^{280}$Pb hyperon drip line hypernucleus. Our study provides insight into the thermal evolution of $\Lambda$ pairing, i.e. the emergence and vanishing of pairing correlations in multi $\Lambda$ hypernuclei as a function of temperature.

arXiv comment10 pages, 8 figures

References in corpus (31)

• Neutrino Emission from Neutron Stars
• Strangeness in nuclear physics
• Perspectives on Core-Collapse Supernova Theory
• The equation of state for dense nucleonic matter from a metamodeling. I. Foundational aspects
• Effects of Strong and Electromagnetic Correlations on Neutrino Interactions in Dense Matter
• The explosion mechanism of core-collapse supernovae: progress in supernova theory and experiments
• Proto-Neutron Star Cooling with Convection: The Effect of the Symmetry Energy
• Thermal luminosities of cooling neutron stars
• Thermal Evolution of Compact Stars
• S-wave Pairing of $\Lambda$ Hyperons in Dense Matter
• Strangeness in Compact Stars
• Occurrence of Hyperon Superfluidity in Neutron Star Cores
• Observation of a Be double-Lambda hypernucleus in the J-PARC E07 experiment
• Nuclear Superfluidity and Specific Heat in the Inner Crust of Neutron Stars
• Superfluidity of $\Lambda$ hyperons in neutron stars
• A study of Lambda hypernuclei within the Skyrme-Hartree-Fock Model
• Implications of Hyperon Pairing for Cooling of Neutron Stars
• Hadron Physics at J-PARC
• Strength of pairing interaction for hyperons in multistrangeness hypernuclei
• Suppression, persistence and reentrance of superfluidity in overflowing nuclear systems
• Lambda hyperonic effect on the normal driplines
• Beyond-mean-field study of the hyperon impurity effect in hypernuclei with shape coexistence
• Density Functional approach for multi-strange hypernuclei: competition between $\Lambda$ and ${\Xi }^{0,-}$ hyperons
• In-medium chiral SU(3) dynamics and hypernuclear structure
• Fast cooling and internal heating in hyperon stars
• $\Lambda \Lambda$ pairing in multi-strange hypernuclei
• Possibility of ΛΛpairing and its dependence on background density in relativistic Hartree-Bogoliubov model
• Generalised mass formula for non-strange, strange and multiply-strange nuclear systems
• Finite temperature pairing re-entrance in drip-line ${}^{48}$Ni nucleus
• Superfluidity of $\Lambda$ hyperons in warm strange hadronic star matter
• The phase transition in hot $\Lambda$ hypernuclei within relativistic Thomas-Fermi approximation