Occupation probability of harmonic-oscillator quanta for microscopic cluster-model wave functions

Abstract

We present a new and simple method of calculating the occupation probability of the number of total harmonic-oscillator quanta for a microscopic cluster-model wave function. Examples of applications are given to the recent calculations including $\alpha +n+n$-model for ${}^6$He, $\alpha +t+n+n$-model for ${}^9$Li, and $\alpha +\alpha +n$-model for ${}^9$Be as well as the classical calculations of $\alpha +p+n$-model for ${}^6$Li and $\alpha +\alpha +\alpha$-model for ${}^{12}$C. The analysis is found to be useful for quantifying the amount of excitations across the major shell as well as the degree of clustering. The origin of the antistretching effect is discussed.

9 pages

References in corpus (5)

• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• Microscopic multicluster description of neutron-halo nuclei with a stochastic variational method
• Microscopic multicluster description of the neutron-rich helium isotopes
• Large-basis shell model studies of light nuclei with a multi-valued G-matrix effective interaction
• Structure of the mirror nuclei ${}^9$Be and ${}^9$B in a microscopic cluster model

Cited by in corpus (10)

• Correlated-basis description of $\alpha$-cluster and delocalized $0^{+}$ states in ${}^{16}$O
• Nature of the first excited state of He-4
• Clusters and halos in light nuclei
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• Symplectic structure and monopole strength in 12C
• Gamov-Teller transitions from 14N ground to 14C ground and excited states
• Effects of the Coulomb interaction on parameters of resonance states in mirror three-cluster nuclei
• Three-$\alpha$ configurations in the $0^{+}$ states of ${}^{12}\mathrm{C}$
• Harmonic-oscillator excitations of precise few-body wave functions
• Calculable microscopic theory for ${}^{12}$C($\alpha ,\gamma$)${}^{16}$O cross section near Gamow window