Quadrupole Deformation $\beta$ and $\gamma$ Constraint in a Framework of Antisymmetrized Molecular Dynamics

Abstract

We propose a new method of the $\beta$-$\gamma$ constraint for quadrupole deformation in antisymmetrized molecular dynamics (AMD) to describe various cluster and shell-model structures in the ground and excited states of light nuclei. We apply this method to N=6 isotones, ${}^{10}$Be, ${}^{12}$C, ${}^9$Li, and ${}^{11}$B, and find various structures as functions of the deformation parameters, $\beta$ and $\gamma$. In these nuclei, shell-model-like structures appear in the small $\beta$ region, while cluster structures develop well in the large $\beta$ region where various geometric configurations of clusters are obtained depending on the $\gamma$ parameter. For ${}^{10}$Be and ${}^{12}$C, we superpose the basis AMD wave functions obtained by the $\beta$-$\gamma$ constraint method to calculate energy spectra, and prove the advantages of the present method of the two-dimensional $\beta$-$\gamma$ constraint in the framework of AMD.

23pages, 14 figures

Cited by in corpus (38)

• Microscopic Clustering in Light Nuclei
• Status of Alpha-Particle Condensate Structure of the Hoyle State
• Cluster structures of excited states in ${}^{14}$C
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Alpha particle clusters and their condensation in nuclear systems
• Cluster structures in ${}^{11}$B
• Investigation of 10Be and its cluster dynamics from nonlocalized clustering concept
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• Be-$\alpha$ correlations in the linear-chain structure of C isotopes
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Novel and simple description for a smooth transition from $\alpha$-cluster wave functions to $jj$-coupling shell model wave functions
• Modification of triaxial deformation and change of spectrum in ${}_{\Lambda }^{25}$Mg caused by $\Lambda$ hyperon
• Deformation and cluster structures in ${}^{12}$C studied with configuration mixing using Skyrme interactions
• ${}^6$He-triton cluster states in ${}^9$Li
• Novel cluster states in ${}^{10}$Be
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• Quadrupole moments and proton-neutron structure in p-shell mirror nuclei
• Proton and neutron correlations in ${}^{10}$B
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• Observation of ${}^6$He+$t$ cluster states in ${}^9$Li
• Monopole transitions to cluster states in ${}^{10}$Be and ${}^9$Li
• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Gamov-Teller transitions from 14N ground to 14C ground and excited states
• Isospin Projected Antisymmetrized Molecular Dynamics and its Application to ${}^{10}$B
• Cluster configurations in Li isotopes in the variation of multi-bases of the antisymmetrized molecular dynamics
• Investigation of the pairing effect in 10B nucleus compared with 10Be and 10C nuclei by using the extended THSR wave function
• Gamow-Teller transitions and proton-neutron pair correlation in $N=Z=$ odd $p$-shell nuclei
• Symmetry and shape coexistence in 10Be
• Analysis of the effect of core structure upon dineutron correlation using antisymmetrized molecular dynamics
• Proton dominance in the 2^+_2 -> 0^+_1 transition of N = Z\pm 2 nuclei around Si-28
• Cluster correlation and nuclear vorticity in low-lying $1^{-}$ states of ${}^{24}$Mg
• Investigating nuclear density profiles to reveal particle-hole configurations in the island of inversion
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation
• Low-energy dipole excitation modes in ${}^{10}$Be
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
• Quadrupole transitions of ${}^{10}$C and their isospin symmetry with ${}^{10}$Be
• Low-energy dipole excitations in ${}^{20}$O with antisymmetrized molecular dynamics
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics