The Gamow-Teller Resonance in Finite Nuclei in the Relativistic Random Phase Approximation

Abstract

Gamow-Teller(GT) resonances in finite nuclei are studied in a fully consistent relativistic random phase approximation (RPA) framework. A relativistic form of the Landau-Migdal contact interaction in the spin-isospin channel is adopted. This choice ensures that the GT excitation energy in nuclear matter is correctly reproduced in the non-relativistic limit. The GT response functions of doubly magic nuclei ${}^{48}$Ca, ${}^{90}$Zr and ${}^{208}$Pb are calculated using the parameter set NL3 and $g_0^{\prime }$=0.6 . It is found that effects related to Dirac sea states account for a reduction of 6-7 % in the GT sum rule.

arXiv comment9 pages, 1 figure

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Cited by in corpus (12)

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• Self-consistent relativistic quasiparticle random-phase approximation and its applications to charge-exchange excitations and $\beta$-decay half-lives
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Feasibility of the finite amplitude method in covariant density functional theory
• Nuclear charge-exchange excitations based on relativistic density-dependent point-coupling model
• Role of the Landau-Migdal Parameters with the Pseudovector and the Tensor Coupling in Relativistic Nuclear Models -- The Quenching of the Gamow-Teller Strength --
• Symmetry breaking of Gamow-Teller and magnetic-dipole transitions and its restoration in calcium isotopes
• Properties of Gamow-Teller and charge-exchange giant spin-monopole resonances in medium-heavy closed-shell parent nuclei: a semi-microscopic description
• Gamow-Teller sum rule in relativistic nuclear models