AUTHOR=Nannini Alessia , Marcucci Laura E. 

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

JOURNAL=Frontiers in Physics

VOLUME=Volume 6 - 2018

YEAR=2018

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2018.00122

DOI=10.3389/fphy.2018.00122

ISSN=2296-424X

ABSTRACT=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.