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Effective operators for valence space calculations from the ab initio No-Core Shell Mode

hal.structure.identifierLaboratoire de Physique des Deux Infinis Bordeaux [LP2I - Bordeaux]
dc.contributor.authorLI, Zhen
hal.structure.identifierLaboratoire de Physique des Deux Infinis Bordeaux [LP2I - Bordeaux]
dc.contributor.authorSMIRNOVA, N.A.
dc.contributor.authorSHIROKOV, A.M.
dc.contributor.authorSHIN, I.J.
dc.contributor.authorBARRETT, B.R.
dc.contributor.authorMARIS, P.
dc.contributor.authorVARY, J.P.
dc.date.accessioned2022-09-15T12:36:31Z
dc.date.available2022-09-15T12:36:31Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/145329
dc.description.abstractEnIn recent years, remarkable progress has been achieved in developing novel non-perturbative techniques for constructing valence space shell model Hamiltonians from realistic internucleon interactions. One of these methods is based on the Okubo--Lee--Suzuki (OLS) unitary transformation applied to no-core shell model (NCSM) solutions. In the present work, we implement the corresponding approach to solve for valence space effective electromagnetic operators. To this end, we use the NCSM results for $A=16-18$, obtained at $N_{\rm max}=4$, to derive a charge-dependent version of the effective interaction for the $sd$ shell, which allows us to exactly reproduce selected NCSM spectra of $^{18}$O, $^{18}$F and $^{18}$Ne within the two valence nucleon space. We then deduce effective single-particle matrix elements of electric quadrupole ($E2$) and magnetic dipole ($M1$) operators by matching them to the electromagnetic transitions and moments for $^{17}$O and $^{17}$F from the NCSM at $N_{\rm max}=4$. Thus, effective $E2$ and $M1$ operators are obtained as sets of single-particle matrix elements for the valence space ($sd$ shell) which allow us to reproduce the NCSM results for $A=17$ exactly. Systematic comparison of a large set of $sd$ shell results on quadrupole and magnetic dipole moments and transitions for $A=18$ using effective $E2$ and $M1$ operators that we derive from the full NCSM calculations demonstrates a remarkable agreement.
dc.language.isoen
dc.title.enEffective operators for valence space calculations from the ab initio No-Core Shell Mode
dc.typeDocument de travail - Pré-publication
dc.subject.halPhysique [physics]/Physique Nucléaire Théorique [nucl-th]
dc.identifier.arxiv2205.15939
bordeaux.hal.laboratoriesLaboratoire de Physique des Deux Infinis de Bordeaux (LP2I) - UMR 5797*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionCNRS
hal.identifierhal-03697277
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03697277v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LI,%20Zhen&SMIRNOVA,%20N.A.&SHIROKOV,%20A.M.&SHIN,%20I.J.&BARRETT,%20B.R.&rft.genre=preprint


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