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Advances in High Energy Physics
Volume 2017, Article ID 2316247, 15 pages
Research Article

Renormalization of Chiral Nuclear Forces with Multiple Subtractions in Peripheral Channels

1Departamento de Cincias Exatas e Naturais, Universidade Estadual do Sudoeste da Bahia, Itapetinga, BA, Brazil
2Centro de Rádio-Astronomia e Astrofísica, Universidade Presbiteriana Mackenzie, São Paulo, SP, Brazil
3Faculdade de Tecnologia (FT), Universidade Estadual de Campinas (UNICAMP), Campinas, SP, Brazil

Correspondence should be addressed to V. S. Timóteo;

Received 3 November 2016; Revised 5 January 2017; Accepted 29 January 2017; Published 26 February 2017

Academic Editor: Mohammadreza Hadizadeh

Copyright © 2017 E. F. Batista et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We analyse the renormalization of the of two-nucleon interaction with multiple subtractions in peripheral waves considering two chiral forces at N3LO. Phase shifts at low energies are then computed with several subtraction points below  fm−1. We show that for most peripheral waves the phase shifts have nearly no dependence on the renormalization scale. In two cases the phase shifts converge slowly as the renormalization scale approaches  fm−1 and in one case the phase shifts presented oscillations with respect to the subtraction point .