Ab Initio Study of 40Ca with an Importance Truncated No-Core Shell Model

dc.creatorRoth, R.
dc.creatorNavratil, P.
dc.date2007-05-28
dc.date.accessioned2026-07-07T10:35:58Z
dc.date.available2026-07-07T10:35:58Z
dc.descriptionWe propose an importance truncation scheme for the no-core shell model, which enables converged calculations for nuclei well beyond the p-shell. It is based on an a priori measure for the importance of individual basis states constructed by means of many-body perturbation theory. Only the physically relevant states of the no-core model space are considered, which leads to a dramatic reduction of the basis dimension. We analyze the validity and efficiency of this truncation scheme using different realistic nucleon-nucleon interactions and compare to conventional no-core shell model calculations for 4He and 16O. Then, we present the first converged calculations for the ground state of 40Ca within no-core model spaces including up to 16\hbarΩ-excitations using realistic low-momentum interactions. The scheme is universal and can be easily applied to other quantum many-body problems.
dc.description4 pages, 5 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0705.4069
dc.identifierhttp://arxiv.org/abs/0705.4069
dc.identifierPhys.Rev.Lett.99:092501,2007
dc.identifierdoi:10.1103/PhysRevLett.99.071302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179899
dc.subjectNuclear Theory
dc.titleAb Initio Study of 40Ca with an Importance Truncated No-Core Shell Model
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