Double-step truncation procedure for large-scale shell-model calculations

Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

“…This yields a smooth potential which exactly preserves the onshell properties of the original NN potential up to a chosen cutoff momentum . As in other SM studies [98][99][100][101], the value of the cutoff has been chosen as = 2.6 fm −1 , since the role of the missing threenucleon force (3NF) decreases as the V low-k cutoff is increased [99]. In fact, in reference [99] it is shown that H eff 's derived from V low-k 's with small cutoffs ( = 2.1 fm −1 ) have SP energies that are in worse agreement with experiments, as well as unrealistic shell-evolution behavior.…”

“…This forms part of a large body of investigations that aim to assess the relevance of such an approach to the study of nuclear structure. The versatility of SM calculations comes from their ability to reproduce experimental results for mass regions ranging from light nuclei ( 4 He core [23,52]) to heavy mass systems (nuclei around 132 Sn [121]), as well as to describe exotic and rare phenomena, such as the Borromean structure [124], quadrupole collectivity [98,100], and the double-β decay process [89,101,102] without resorting to empirical adjustments of data.…”

“…The effective Hamiltonian and operators are defined in a model space spanned by the five proton and neutron orbitals, 0g 7/2 , 1d 5/2 , 1d 3/2 , 2s 1/2 , and 0h 11/2 , outside the doubly closed 100 Sn core. The SP energies and TBMEs of H eff can be found in reference [101].…”

“…As in other SM studies [98][99][100][101], the value of the cutoff is chosen as = 2.6 fm −1 , since the role of the missing 3NF decreases as the V low-k cutoff is increased [99]. This value, within a perturbative expansion of theQ-box, is an upper limit, since a larger cutoff worsens the order-by-order behavior of the perturbative expansion.…”

Calculation of Gamow-Teller and two-neutrino double- β decay properties for Te130 and Xe136Coraggio1, Angelis2, Fukui3 et al. 2017Phys. Rev. CSelf Cite432580View full textAdd to dashboardCite

“…This procedure provides a smooth potential that can be employed directly in the many-body perturbation theory, and that preserves exactly the onshell properties of the original N N potential up to a cutoff momentum Λ. We have chosen its value, as in many of our recent papers [32][33][34][35][36], to be equal to 2.6 fm −1 , because we have found that the larger the cutoff the smaller the role of the missing three-nucleon force (3NF) [37]. The Coulomb potential is explicitly taken into account in the proton-proton channel.…”