Benchmarking nuclear models for Gamow-Teller response

Abstract

A comparative study of the nuclear Gamow-Teller response (GTR) within conceptually different state-of-the-art approaches is presented. Three nuclear microscopic models are considered: (i) the recently developed charge-exchange relativistic time blocking approximation (RTBA) based on the covariant density functional theory, (ii) the shell model (SM) with an extended "jj77" model space and (iii) the non-relativistic quasiparticle random-phase approximation (QRPA) with a Brueckner G-matrix effective interaction. We study the physics cases where two or all three of these models can be applied. The Gamow-Teller response functions are calculated for 208-Pb, 132-Sn and 78-Ni within both RTBA and QRPA. The strengths obtained for 208-Pb are compared to data that enables a firm model benchmarking. For the nucleus 132-Sn, also SM calculations are performed within the model space truncated at the level of a particle-hole (ph) coupled to vibration configurations. This allows a consistent comparison to the RTBA where ph+phonon coupling is responsible for the spreading width and considerable quenching of the GTR. Differences between the models and perspectives of their future developments are discussed.

9 pages, 2 figures, 1 table; to be published in Phys. Lett. B

References in corpus (9)

• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• Recent developments in no-core shell-model calculations
• Shell-model calculations and realistic effective interactions
• Relativistic quasiparticle time blocking approximation. Dipole response of open-shell nuclei
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Particle-vibration coupling within covariant density functional theory
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling
• Fragmentation of spin-dipole strength in ${}^{90}$Zr and ${}^{208}$Pb

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