Global-Vector Representation of the Angular Motion of Few-Particle Systems II

Abstract

The angular motion of a few-body system is described with global vectors which depend on the positions of the particles. The previous study using a single global vector is extended to make it possible to describe both natural and unnatural parity states. Numerical examples include three- and four-nucleon systems interacting via nucleon-nucleon potentials of AV8 type and a 3$\alpha$ system with a nonlocal $\alpha \alpha$ potential. The results using the explicitly correlated Gaussian basis with the global vectors are shown to be in good agreement with those of other methods. A unique role of the unnatural parity component, caused by the tensor force, is clarified in the $0_1^{-}$ state of ${}^4$He. Two-particle correlation function is calculated in the coordinate and momentum spaces to show different characteristics of the interactions employed.

39 pages, 4 figures

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Cited by in corpus (40)

• Concepts of alpha-particle condensation
• Universality of short-range nucleon-nucleon correlations
• Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient
• Microscopic study of 4-alpha-particle condensation with proper treatment of resonances
• Electric and magnetic dipole modes in high-resolution inelastic proton scattering at $0^{\circ }$
• Pre-Born-Oppenheimer Molecular Structure Theory
• Nucleon momentum distributions, their spin-isospin dependence and short-range correlations
• Inversion doublets of 3N+N cluster structure in excited states of ${}^4$He
• Universal four-body states in heavy-light mixtures with positive scattering length
• Ab initio study of the photoabsorption of ${}^4$He
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• Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states
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• Towards a Unified Model of Neutrino-Nucleus Reactions for Neutrino Oscillation Experiments
• Nuclear Alpha-Particle Condensates
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• Emergence of nuclear clustering in electric-dipole excitations of ${}^6$Li
• Degeneracies in trapped two-component Fermi gases
• Three and four identical fermions near the unitary limit
• Significance and properties of internucleon correlation functions
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• Possible halo structure of ${}^{62,72}$Ca by forbidden-state-free locally peaked Gaussians
• New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics
• Constrained correlated-Gaussians for hyperspherical calculations
• Calculable microscopic theory for ${}^{12}$C($\alpha ,\gamma$)${}^{16}$O cross section near Gamow window
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• Deformed Explicitly Correlated Gaussians