Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
Tipo
Artigo
Data de publicação
2012
Periódico
Journal of Physics G: Nuclear and Particle Physics
Citações (Scopus)
14
Autores
Szpigel S.
Timoteo V.S.
Timoteo V.S.
Orientador
Título da Revista
ISSN da Revista
Título de Volume
Membros da banca
Programa
Resumo
We apply the subtracted kernel method (SKM), a renormalization approach based on recursive multiple subtractions performed in the kernel of the scattering equation, to the chiral nucleon-nucleon (NN) interactions up to nextto- next-to-leading-order.We evaluate the phase-shifts in the 1S 0 channel at each order in Weinberg's power counting scheme and in a modified power counting scheme which yields a systematic power-law improvement. We also explicitly demonstrate that the SKM procedure is renormalization group invariant under the change of the subtraction scale through a non-relativistic Callan-Symanzik flow equation for the evolution of the renormalized NN interactions. © 2012 IOP Publishing Ltd.