Coexistence of spherical states with deformed and superdeformed bands in doubly magic 40-Ca; A shell model challenge

Abstract

Large scale shell model calculations, with dimensions reaching 10**9, are carried out to describe the recently observed deformed (ND) and superdeformed (SD) bands based on the first and second excited 0+ states of 40-Ca at 3.35-MeV and 5.21-MeV respectively. A valence space comprising two major oscillator shells, sd and pf, can accommodate most of the relevant degrees of freedom of this problem. The ND band is dominated by configurations with four particles promoted to the pf-shell (4p-4h in short). The SD band by 8p-8h configurations. The ground state of 40-Ca is strongly correlated, but the closed shell still amounts to 65%. The energies of the bands are very well reproduced by the calculations. The out-band transitions connecting the SD band with other states are very small and depend on the details of the mixing among the different np-nh configurations, in spite of that, the calculation describes them reasonably. For the in-band transition probabilities along the SD band, we predict a fairly constant transition quadrupole moment Q_0(t)~170 e fm**2 up to J=10, that decreases toward the higher spins. We submit also that the J=8 states of the deformed and superdeformed band are maximally mixed.

12 pages, 9 figures

References in corpus (5)

• The Shell Model as Unified View of Nuclear Structure
• Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states of S32, Ar36, Ar38 and Ca40
• A Shell Model Description of the Decay Out of the Super-Deformed Band of 36Ar
• Superdeformation and clustering in ${}^{40}$Ca studied with Antisymmetrized Molecular Dynamics
• Description of the superdeformed band of ${}^{36}$Ar with the Gogny force

Cited by in corpus (35)

• A new effective interaction for $0\hslash \omega$ shell model calculations in the sdpf valence space
• The merging of the islands of inversion at N=20 and N=28
• Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Unveiling the intruder deformed 0${}_2^{+}$ state in ${}^{34}$Si
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Chiral three-nucleon forces and bound excited states in neutron-rich oxygen isotopes
• The quest of shape coexistence in Zr isotopes
• The Pt isotopes: comparing the Interacting Boson Model with Configuration Mixing and the Extended Consistent-Q formalism
• Ground-State Electromagnetic Moments of Calcium Isotopes
• The islands of shape coexistence within the Elliott and the proxy-SU(3) Models
• From superdeformation to extreme deformation and clusterization in the N~Z nuclei of the A~40 mass region
• The platinum nuclei: concealed configuration mixing and shape coexistence
• Shape coexistence in even-even nuclei: A theoretical overview
• Clustering and Triaxial Deformations of ${}^{40}$Ca
• The subtle connection between shape coexistence and quantum phase transition. The Zr case
• Superdeformation in Asymmetric N$>$Z Nucleus ${}^{40}$Ar
• Role of three-nucleon forces and many-body processes in nuclear pairing
• Superdeformation and alpha - cluster structure in 35Cl
• Beyond-mean-field study of the hyperon impurity effect in hypernuclei with shape coexistence
• Shape coexistence in Sr isotopes
• The nucleon-pair approximation for nuclei from spherical to deformed regions
• The Nuclear Shell Model Toward the Drip Lines
• Triaxial superdeformation in ${}^{40}$Ar
• Electric monopole transition from the superdeformed band in ${}^{40}$Ca
• High-spin structure in ${}^{40}$K
• Signature dependent triaxiality for shape evolution from superdeformation in rapidly rotating ${}^{40}$Ca and ${}^{41}$Ca
• Description of superdeformed bands in light N=Z nuclei using the cranked HFB method
• Backbendings of Superdeformed bands in ${}^{36,40}$Ar
• Optimization of the number of intrinsic states included in the discrete Generator Coordinate Method
• Electromagnetic Decay of Molecular States
• Weakening of $N=28$ shell gap and the nature of $0_2^{+}$ states
• Mirror Energy Differences and nuclear structure in 1$f_{7/2}$ nuclei
• Multiphonon structure of high-spin states in ${}^{40}$Ca, ${}^{90}$Zr, and ${}^{208}$Pb