A review is presented of the development and current status of nuclear shell-model calculations, in which the two-body effective interaction between valence nucleons is derived from the free nucleon-nucleon potential. The significant progress made in this field within the last decade is emphasized, in particular as regards the so-called Vlow-k approach to the renormalization of the bare nucleon-nucleon interaction. In the last part of the review, we first give a survey of realistic shell-model calculations from early to present days. Then, we report recent results for neutron-rich nuclei near doubly magic Sn-132, and for the whole even-mass N = 82 isotonic chain. These illustrate how shell-model effective interactions derived from modern nucleon-nucleon potentials are able to provide an accurate description of nuclear structure properties
This paper discusses the derivation of an effective shell-model hamiltonian starting from a realistic nucleon-nucleon potential by way of perturbation theory. More precisely, we present the state of the art of this approach when the starting point is the perturbative expansion of theQ-box vertex function. Questions arising from diagrammatics, intermediate-states and orderby-order convergences, and their dependence on the chosen nucleon-nucleon potential, are discussed in detail, and the results of numerical applications for the p-shell model space starting from chiral next-to-next-to-next-to-leading order potentials are shown. Moreover, an alternative graphical method to derive the effective hamiltonian, based on theẐ-box vertex function recently introduced by Suzuki et al., is applied to the case of a non-degenerate (0+2) ω model space. Finally, our shell-model results are compared with the exact ones obtained from no-core shell-model calculations.
We report on shell-model calculations employing effective interactions derived from a new realistic nucleonnucleon (NN) potential based on chiral effective-field theory. We present results for 18 O, 134 Te, and 210 Po. Our results are in excellent agreement with experiment indicating a remarkable predictive power of the chiral NN potential for low-energy microscopic nuclear structure.
We approach the calculation of the nuclear matrix element of the neutrinoless double-β decay process, considering the light-neutrino-exchange channel, by way of the realistic shell model. To this end, we start from a realistic nucleon-nucleon potential and then derive the effective shellmodel Hamiltonian and 0νββ-decay operator within the many-body perturbation theory. We focus on investigating the perturbative properties of the effective shell-model operator of such a decay process, aiming to establish the degree of reliability of our predictions. The contributions of the socalled short-range correlations and of the correction of Pauli-principle violations to the effective shellmodel operator, the latter introduced in many-valence nucleon systems, are also taken into account. The subjects of our study are a few candidates to the 0νββ-decay detection, in a mass interval ranging from A = 48 up to A = 136, whose spin-and spin-isospin-dependent decay properties we have studied in previous works. Our results evidence that the effect of the renormalization of the 0νββ-beta decay operator on the values of the nuclear matrix elements is less relevant than what we have obtained in previous studies of the effective single-body GT transitions operating also in the two neutrinos double-beta decay PACS numbers: 21.60.Cs, 21.30.Fe, 27.60.+j, 23.40-s 1/2 −1/2 . Moreover, combining the calculated nuclear structure factor with neutrino mixing parameters [10] and limits on m ν from current experiments, one may extract an estimation of the half-life an experiment should measure in order to be sensitive to a particular value of the neutrino effective mass [1]. All the above considerations evidence that reliable calculations of M 0ν are of paramount importance, and, currently, various nuclear structure models arXiv:2001.00890v2 [nucl-th] 3 Apr 2020
Ground-state properties of 16 O and 40 Ca are calculated with a low-momentum nucleon-nucleon potential, V low−k , derived from the chiral N 3 LO interaction recently constructed by Entem and Machleidt. The smooth V low−k is used directly in a Hartree-Fock approach, avoiding the difficulties of the Brueckner-Hartree-Fock procedure. Corrections up to third order in the Goldstone expansion are evaluated, leading to results that are in very good agreement with experiment. Convergence properties of the expansion are examined.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.