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

Abstract

The relativistic and nonrelativistic 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 nonrelativistic framework, while the density-dependent 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 to both 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.

arXiv comment15 pages, 6 figures, published in Physical Review C

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Cited by in corpus (11)

• Nuclear charge-exchange excitations based on relativistic density-dependent point-coupling model
• Stellar electron capture rates based on finite temperature relativistic quasiparticle random-phase approximation
• Finite-temperature electron-capture rates for neutron-rich nuclei around N=50 and effects on core-collapse supernovae simulations
• Finite-temperature linear response theory based on relativistic Hartree Bogoliubov model with point-coupling interaction
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• The evolution of magnetic dipole strength in ${}^{100-140}$ Sn isotope chain and quenching of nucleon g factors
• Low-energy enhancement in the magnetic dipole $\gamma$-ray strength functions of heavy nuclei
• Charge-exchange dipole excitations in deformed nuclei
• Symmetry breaking of Gamow-Teller and magnetic-dipole transitions and its restoration in calcium isotopes
• Impact of the Brink Axel Hypothesis on Unique First Forbidden \b{eta} transitions for r process nuclei
• Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry