Renormalization of Singular Potentials and Power Counting

2006/11/28 by M. Pavon Valderrama, E. Ruiz Arriola, Valderrama, M. Pavon +1 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0611099

2 pages, 2 eps figures, uses ws-procs9x6.cls, summary of invited talk at Chiral Dynamics 2006, Sept. 18-22, Durham/Chapel Hill, NC, to be published in the proceedings

arxiv created 2006/11/28 · arxiv updated 2009/12/01

Abstract

We analyze the renormalization of the nucleon--nucleon interaction at low energies in coordinate space for both one and two pion exchange chiral potentials. The singularity structure of the long range potential and the requirement of orthogonality respectively determines, once renormalizability is imposed, the minimum and maximum number of counterterms allowed in the effective description of the nucleon--nucleon interaction in a non-perturbative context.

Cited by

• Perturbative calculations of nucleon-deuteron elastic scattering in chiral effective field theory
• Perturbative χEFT calculations of the deuteron and triton up to N²LO

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