Dynamics of two-cluster systems in phase space

TL;DR

This paper develops a phase-space representation for two-cluster quantum systems, analyzing bound and resonance states of light nuclei, and compares quantum and classical behaviors as energy increases.

Contribution

It introduces a phase-space density distribution approach for two-cluster nuclei and quantifies the phase space regions occupied by different states.

Findings

Bound states occupy compact phase space regions

Resonance states also localize in phase space

Quantum trajectories tend toward classical limits at higher energies

Abstract

We present a phase-space representation of quantum state vectors for two-cluster systems. Density distributions in the Fock--Bargmann space are constructed for bound and resonance states of $^{6,7}$Li and $^{7,8}$Be, provided that all these nuclei are treated within a microscopic two-cluster model. The density distribution in the phase space is compared with those in the coordinate and momentum representations. Bound states realize themselves in a compact area of the phase space, as also do narrow resonance states. We establish the quantitative boundaries of this region in the phase space for the nuclei under consideration. Quantum trajectories are demonstrated to approach their classical limit with increasing energy.