English

Low-momentum nucleon-nucleon interaction and its application to the few-nucleon systems

Nuclear Theory 2014-11-18 v3

Abstract

Low-momentum nucleon-nucleon interactions are derived within the framework of a unitary-transformation theory, starting with realistic nucleon-nucleon interactions. A cutoff momentum Lambda is introduced to specify a border between the low- and high-momentum spaces. By the Faddeev-Yakubovsky calculations the low-momentum interactions are investigated with respect to the dependence of ground-state energies of ^3H and ^4He on the parameter Lambda. It is found that we need the momentum cutoff parameter Lambda >= 5 fm^-1 in order to reproduce satisfactorily the exact values of the binding energies for ^3H and ^4He. The calculation with Lambda =2 fm^-1 recommended by Bogner et al. leads to considerable overbinding at least for the few-nucleon systems.

Keywords

Cite

@article{arxiv.nucl-th/0404049,
  title  = {Low-momentum nucleon-nucleon interaction and its application to the few-nucleon systems},
  author = {S. Fujii and E. Epelbaum and H. Kamada and R. Okamoto and K. Suzuki and W. Gloeckle},
  journal= {arXiv preprint arXiv:nucl-th/0404049},
  year   = {2014}
}

Comments

9 pages, 10 figures, 1 table