English

Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction $V_{low-k}$

Nuclear Theory 2014-04-03 v2

Abstract

Three-dimensional (3D) Faddeev integral equations are solved for three-body (3B) bound state problem without using the partial wave (PW) form of low momentum two-body (2B) interaction VlowkV_{low-k} which is constructed from spin independent Malfliet-Tjon V (MT-V) potential. The dependence of 3B binding energy on the cutoff momentum of VlowkV_{low-k} is investigated for a wide range of Λ\Lambda from 1.01.0 to 7.0fm17.0\, fm^{-1}. The properties of Faddeev components and 3B wave function are displayed and the effect of number of grid points for momentum and angle variables on the accuracy and the stability of numerical results is studied by calculation of the expectation value of total Hamiltonian.

Keywords

Cite

@article{arxiv.1306.6683,
  title  = {Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction $V_{low-k}$},
  author = {M. R. Hadizadeh},
  journal= {arXiv preprint arXiv:1306.6683},
  year   = {2014}
}
R2 v1 2026-06-22T00:41:54.689Z