Application of realistic effective interactions to the structure of the Zr isotopes

Abstract

We calculate the low-lying spectra of the zirconium isotopes (Z = 40) with neutron numbers from N = 52 to N = 60 using the 1p 1/2 0g 9/2 proton and 2s1d0g 7/2 0h 11/2 neutron sub-shells to define the model space. Effective proton-proton, neutron-neutron and proton-neutron interactions have been derived using 88 Sr as closed core and employing perturbative many-body techniques. The starting point is the nucleon-nucleon potential derived from modern meson exchange models. The comprehensive shell-model calculation performed in this work provides a qualitative reproduction of essential properties such as the sub-shell closures in 96 Zr and 98 Zr. PACS number(s): 21.60. Cs, 27.60.+j

Electric quadrupole moments of the21+states inCd100,102Ekström1, Cederkäll2, DiJulio3 et al. 2009Phys. Rev. CSelf Cite419450View full textAdd to dashboardCite

“…10 the effective charges e π = 1.6 e and e ν = 1.0 e reproduces the B(E2) value in this nucleus. These values are also well in line with those used in previous calculations in this mass region [41,44,45]. The shell-model prediction for 102,104 Cd using these effective charges are indicated with squares in Fig.…”

“…The nucleus 88 Sr is used as an inert core and the location of the single-particle energies were taken from Ref. [41]: ε(π 1p 1/2 ) = 0.00, ε(π 0g 9/2 ) = 0.90, ε(ν1d 5/2 ) = 0.00, ε(ν2s 1/2 ) = 1.26, ε(ν1d 3/2 ) = 2.23, ε(ν0g 7/2 ) = 2.63, and ε(0h 11/2 ) = 3.50 in units of MeV. The calculated E(2 + 1 ) and E(4 + 1 ) are almost identical to experimental values.…”

Shell-model-based deformation analysis of light cadmium isotopes

“…The effective charges used in the current work are e π = 1.7e and e ν = 1.1e, i.e., the same effective charges as in the previous shell-model calculations with this interaction [12,13]. A former shell-model study on light Cd isotopes using v3sb by A. Ekström et al [14] (see also references [86][87][88]) successfully reproduced the experimental values with similar effective charges.…”

Low-energy Coulomb excitation of Sr96,98 beams

“…The shape transition at N = 60 in the Sr and Zr isotopic chains has been a subject of numerous theoretical works (see for instance Refs. [40,[55][56][57][58][59][60][61][62][63][64][65][66][67][68][69]). Only very few predictions of electromagnetic properties are available, and those are usually limited to B(E2,2 …”