Thermal quasiparticle random-phase approximation with Skyrme interactions and supernova neutral-current neutrino-nucleus reactions

Neutrino-nuclear responses associated with astro-neutrinos, single beta decays and double beta decays are crucial in studies of neutrino properties of interest for astro-particle physics. The present report reviews briefly recent studies of the neutrino-nuclear responses from both experimental and theoretical points of view in order to obtain a consistent understanding of the many facets of the neutrino-nuclear responses. Subjects discussed in this review include (i) experimental studies of neutrino-nuclear responses by means of single beta decays, charge-exchange nuclear reactions, muon-photon-and neutrino-nuclear reactions, and nucleon-transfer reactions, (ii) implications of and discussions on neutrino-nuclear responses for single beta decays, for astroneutrinos, and for astro-neutrino nucleosynthesis, (iii) theoretical aspects of neutrino-nuclear responses for beta and double beta decays, for nuclear muon capture and for neutrino-nucleus scattering, and (iv) critical discussions on nucleonic and non-nucleonic spin-isospin correlations and renormalization (quenching or enhancement) effects on the axial weak coupling. Remarks are given on perspectives of experimental and theoretical studies of the neutrino-nuclear responses and on future experiments of double beta decays.

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“…• Thermal QRPA (TQRPA) combined with Skyrme energy density functionals (Skyrme-TQRPA), as used in [435].…”

Section: Neutrino-nucleus Scattering Calculationsmentioning

confidence: 99%

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

2019

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“…2 presents the dominant states, which are the outcome of calculations within the finite-temperature particlevibration coupling (RMF+PVC). It is quite common in the literature to assume that the nuclear mean field remains almost unchanged with temperature in a relatively broad temperature range 0 ≤ T ≤ 3 MeV, and this assumption is widely used in the finite-temperature calculations of the nuclear shell structure and response [40,52,53]. However, as one can see from Fig.…”

Section: Numerical Solution Of the Finite-temperature Dyson Equation:...mentioning

confidence: 99%

Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass

Wibowo,

Litvinova,

Zhang

et al. 2020

Preprint

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We study the fermionic Matsubara Green functions in medium-mass nuclei at finite temperature. The single-fermion Dyson equation with the dynamical kernel of the particle-vibration-coupling (PVC) origin is formulated and solved in the basis of Dirac spinors, which minimize the grand canonical potential with the meson-nucleon covariant energy density functional. The PVC correlations beyond mean field are taken into account in the leading approximation for the energy-dependent selfenergy, and the full solution of the finite-temperature Dyson equation is obtained for the fermionic propagators. Within this approach, we investigate the fragmentation of the single-particle states and its evolution with temperature for the nuclear systems 56,68 Ni and 56 Fe relevant for the corecollapse supernova. The energy-dependent, or dynamical, nucleon effective mass is extracted from the PVC self-energy at various temperatures.

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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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Thermal quasiparticle random-phase approximation with Skyrme interactions and supernova neutral-current neutrino-nucleus reactions

Cited by 21 publications

References 32 publications

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass

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

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