Renormalization of the GT operator within the realistic shell model

Abstract

In nuclear structure calculations, the choice of a limited model space, due to computational needs, leads to the necessity to renormalize the Hamiltonian as well as any transition operator. Here, we present a study of the renormalization procedure and effects of the Gamow-Teller operator within the framework of the realistic shell model. Our effective shell-model operators are obtained, starting from a realistic nucleon-nucleon potential, by way of the many-body perturbation theory in order to take into account the degrees of freedom that are not explicitly included in the chosen model space. The theoretical effective shell-model Hamiltonian and transition operators are then employed in shell-model calculations, whose results are compared with data of Gamow-Teller transition strengths and double-beta half-lives for nuclei which are currently of interest for the detection of the neutrinoless double-beta decay process, in a mass interval ranging from A=48 up to A=136. We show that effective operators are able to reproduce quantitatively the spectroscopic and decay properties without resorting to an empirical quenching neither of the axial coupling constant gA, nor of the spin and orbital gyromagnetic factors. This should assess the reliability of applying present theoretical tools to this problematic.

arXiv comment16 pages, 15 figures, to be published in Phys. Rev. C

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• Quenching of Gamow-Teller strengths and two particle -- two hole configurations
• Present Status of Nuclear Shell-Model Calculations of Neutrinoless Double-Beta Decay Matrix Elements
• Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• Effects of pairing strength on the nuclear structure and double-$\beta$ decay predictions within the mapped interacting boson model
• Theoretical analysis and predictions for the double electron capture of ${}^{124}$Xe
• Mapped interacting boson model for nuclear structure studies
• Short-range correlations for neutrinoless double-beta decay and low-momentum NN potentials
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• Two-neutrino $\beta \beta$ decay to excited states at next-to-leading order
• Neutrinoless Double-Beta Decay and Realistic Shell Model
• Recent applications of the subtracted second RPA method