ν-ν-interactions in supernovae environments as a function of density and temperature

COLOMBI, M. P.; CIVITARESE, O.; PENACCHIONI, A. V.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS

WORLD SCIENTIFIC PUBL CO PTE LTD

Año: 2021

0218-3013

Neutrinos in astrophysical environments, such as Supernovae (SNe), may interact through pair interactions. These interactions are density and temperature dependent. Under certain conditions, a neutrino-condensate may form. In this work we have adapted the separable non-local pairing interactions to the SN conditions and studied the temperature and density dependence of the pairing gap as well as the collective response with respect to these variables. We have applied the Bogoliubov transformations and solved the BCS equations to construct the free quasi-particle sector of the Hamiltonian. The residual two-quasi-particle terms have been treated by applying the Tamm-Dancoff (TDA) and Random-Phase (RPA) approximations, suited to the extended neutrino media. With this, we have constructed neutrino energy distributions both in the superfluid and normal regimes and extracted critical values of the density and temperature.