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

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

2005-08-02

arxiv.org/abs/nucl-th/0508006v1

Phys.Lett. B621 (2005) 109-118

Physics

Nuclear Physics

Nuclear Theory

12 pages, 3 figures

Scientific paper

10.1016/j.physletb.2005.06.044

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 $^1S_0$ nucleon-nucleon phase-shifts, when considering a potential with one-pion-exchange plus a contact interaction and its derivatives. The $^1S_0$ 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.

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