Renormalization of Singular Potentials and Power Counting

Details Renormalization of Singular Potentials and Power Counting Renormalization of Singular Potentials and Power Counting

2006-11-28

arxiv.org/abs/nucl-th/0611099v1

Physics

Nuclear Physics

Nuclear Theory

2 pages, 2 eps figures, uses ws-procs9x6.cls, summary of invited talk at Chiral Dynamics 2006, Sept. 18-22, Durham/Chapel Hill

Scientific paper

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.

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