Shell model results for $T=1$ and $T=0$ bands in ${}^{66}$As

Abstract

Results of a comprehensive shell model (SM) analyses, within the full $f_{5/2}p{g}_{9/2}$ model space, of the recently available experimental data [P. Ruotsalainen et al., Phy. Rec. C {88}, 024320 (2013)] with four $T=0$ bands and one $T=1$ band in the odd-odd $N=Z$ nucleus ${}^{66}$As are presented. The calculations are performed using jj44b effective interaction developed recently by B.A. Brown and A.F. Lisetskiy for this model space. For the lowest two $T=0$ bands and the $T=1$ band, the results are in reasonable agreement with experimental data and deformed shell model is used to identify their intrinsic structure. For the $T=1$ band, structural change at $8^{+}$ is predicted. For the third $9^{+}$ band with $T=0$, the shell model $B(E2)$ values and quadrupole moments (in addition to energies) are consistent with the interpretation in terms of aligned isoscalar $np$ pair in $g_{9/2}$ orbit coupled to the ${}^{64}$Ge ground band. Similarly, the $9^{+}$ level of band 4 and a close lying $5^{+}$ level are found to be isomeric states in the analysis. Finally, energies of the band 5 members calculated using shell model with both positive and negative parity show that the observed levels are most likely negative parity levels. The SM results with jj44b are also compared with the results obtained using JUN45 interaction.

arXiv comment9 pages, 7 figures and 3 tables: Accepted for Publication in Journal of Physics G: Nuclear and Particle Physics

References in corpus (14)

• The Shell Model as Unified View of Nuclear Structure
• The realistic collective nuclear Hamiltonian
• Shell Model Study of the Double Beta Decays of ${}^{76}$Ge, ${}^{82}$Se and ${}^{136}$Xe
• Evidence for a spin-aligned neutron-proton paired phase from the level structure of ${}^{92}$Pd
• Pairing and the structure of the pf-shell N ~ Z nuclei
• Nilsson-SU3 selfconsistency in heavy N=Z nuclei
• Estimates of Stellar Weak Interaction Rates for Nuclei in the Mass Range A=65-80
• Convergence rates for arbitrary statistical moments of random quantum circuits
• Shape and structure of N=Z 64Ge; Electromagnetic transition rates from the application of the Recoil Distance Method to knock-out reaction
• Observation of mutually enhanced collectivity in self-conjugate ${}_{38}^{76}$Sr${}_{38}$
• Importance of static quadrupole moments for determining collective aspects of nuclear structure: N=Z calculations with four and eight valence particles
• Simultaneous investigation of the $\mathbf{T}=1({\mathbf{J}}^{\pi }=0^{+})$ and $\mathbf{T}=0({\mathbf{J}}^{\pi }=9^{+})$ $\beta$ decays in ${}^{70}$Br
• Structure of isomeric states in 66As and 67As
• Shell model and deformed shell model spectroscopy of ${}^{62}$Ga

Cited by in corpus (1)

• Proxy-$SU(4)$ symmetry in A=60-90 region