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

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 H-3, He-3 nuclei, and H-3(Lambda) 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 H-3 and He-3 due to the difference of the proton and the neutron masses is studied using several central spin-independent and spin-dependent potentials. Finally, the H-3(Lambda) 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.