Effects of Finite Temperature and Pairing Correlations in Multi-Λ Hypernuclei

The influence of finite temperatures and pairing correlations on the ground state properties of multi Λ- 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 kB TC^Λ ≈ 0.5 ΔT=0_Λ, beyond which pairing correlations drop to zero. Particle densities, Λ 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 Λ 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 ²⁸⁰70ΛPb hyperon drip line hypernucleus. Our study provides insight into the thermal evolution of Λ pairing, i.e. the emergence and vanishing of pairing correlations in multi Λ hypernuclei as a function of temperature.