Proceedings of the Mini-Workshop Selected Few-Body Problems in Hadronic and Atomic Physics

L. Glozman,W. Plessas,S. Boffi,L. Glozman

semanticscholar（2013）

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Abstract

The effective interaction method, traditionally used in the framework of an harmonic oscillator basis, is generalized to the hyperspherical formalism. It is shown that with the present method one obtains an enormous improvement of the convergence of the hyperspherical harmonics series in calculating ground state properties, excitation energies and transitions to continuum states. In general we would like to use the hyperspherical harmonics (HH) basis functions to solve the A–body Hamiltonian

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【要点】：本研究将有效相互作用方法从传统的谐振子基扩展到超球坐标形式，显著提高了计算原子物理和强子物理中多体问题的收敛性。

【方法】：通过将有效相互作用方法与超球谐函数结合，优化了多体哈密顿量的求解过程。

【实验】：使用超球谐函数基对多体系统进行了计算，实验使用了特定的数据集，结果显示出在基态属性、激发能量以及连续态过渡的计算中，超球谐函数系列的收敛性得到了显著提高。