English

Recursive renormalization of the singlet one-pion-exchange plus point-like interactions

Nuclear Theory 2009-11-11 v1

Abstract

The subtracted kernel approach is shown to be a powerful method to be implemented recursively in scattering equations with regular plus point-like interactions. The advantages of the method allows one to recursively renormalize the potentials, with higher derivatives of the Dirac-delta, improving previous results. The applicability of the method is verified in the calculation of the 1S0^1S_0 nucleon-nucleon phase-shifts, when considering a potential with one-pion-exchange plus a contact interaction and its derivatives. The 1S0^1S_0 renormalization parameters are fitted to the data. The method can in principle be extended to any derivative order of the contact interaction, to higher partial waves and to coupled channels.

Keywords

Cite

@article{arxiv.nucl-th/0508006,
  title  = {Recursive renormalization of the singlet one-pion-exchange plus point-like interactions},
  author = {V. S. Timoteo and T. Frederico and A. Delfino and Lauro Tomio},
  journal= {arXiv preprint arXiv:nucl-th/0508006},
  year   = {2009}
}

Comments

12 pages, 3 figures

R2 v1 2026-07-22T18:34:27.018Z