Non-symmetrized Hyperspherical Harmonics Method for Non-equal Mass Three-Body Systems

Frontiers in Physics

Marcucci, Laura E.¹  Nannini, Alessia² 

[1] di Pisa, Italy;Dipartimento di Fisica “Enrico Fermi”, UniversitàIstituto Nazionale di Fisica Nucleare, Sezione di Pisa, Italy

关键词: Three-body systems;    Hypersperical Harmonics method;    light nuclei;    Triton;    3He;    Hypertriton;   

DOI  :  10.3389/fphy.2018.00122

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the $^3$H, $^3$He nuclei and $^3_{\Lambda}$H hyper-nucleus, seen respectively as $nnp$, $ppn$ and $NN\Lambda$ three-body systems. The convergence of the method is first tested in order to estimate its accuracy. Then, the difference of binding energy between $^3$H and $^3$He due to the difference of the proton and the neutron masses is studied using several central spin-independent and spin-dependent potentials. Finally, the $^3_{\Lambda}$H hypernucleus binding energy is calculated using different $NN$ and $\Lambda N$ potential models. The results have been compared with those present in the literature, finding a very nice agreement.

【 授权许可】

CC BY