Alignment of wave functions for angular momentum projection

2016/08/31 by Yasutaka Taniguchi, Taniguchi, Yasutaka
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1608.08726

openalex publication_date 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Angular momentum projection is used to obtain eigen states of angular momentum from general wave functions. Multi-configuration mixing calculation with angular momentum projection is an important microscopic method in nuclear physics. For accurate multi-configuration mixing calculation with angular momentum projection, concentrated distribution of z components K of angular momentum in the body-fixed frame (K-distribution) is favored. Orientation of wave functions strongly affects K-distribution. Minimization of variance of J_z is proposed as an alignment method to obtain wave functions that have concentrated K-distribution. Benchmark calculations are performed for α-²⁴Mg cluster structure, triaxially superdeformed states in ⁴⁰Ar, and Hartree-Fock states of some nuclei. The proposed alignment method is useful and works well for various wave functions to obtain concentrated K-distribution.

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