Renormalization of chiral two-pion exchange NN interactions: Momentum space versus coordinate space

Journal Article · Tue Apr 15 04:00:00 EDT 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.77.044006· OSTI ID:21189896

Entem, D R ^[1]; Arriola, E Ruiz ^[2]; Valderrama, M Pavon ^[3]; Machleidt, R ^[4]

---

1. Grupo de Fisica Nuclear, IUFFyM, Universidad de Salamanca, E-37008 Salamanca (Spain)
2. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)
3. Institut fuer Kernphysik, Forschungszentrum Juelich, D-52425 Juelich (Germany)
4. Department of Physics, University of Idaho, Moscow, Idaho 83844 (United States)

The renormalization of the chiral np interaction in the {sup 1}S{sub 0} channel to next-to-next-to-next-to-leading order (N3LO) in Weinberg counting for the long-distance potential with one single momentum- and energy-independent counterterm is carried out. This renormalization scheme yields finite and unique results and is free of short-distance off-shell ambiguities. We observe good convergence in the entire elastic range below pion production threshold and find that there are some small physical effects missing in the purely pionic chiral NN potential with or without inclusion of explicit {delta} degrees of freedom. We also study the renormalizability of the standard Weinberg counting at next-to-leading order (NLO) and next-to-next-to-leading order (N2LO) when a momentum-dependent polynomial counterterm is included. Our numerical results suggest that the inclusion of this counterterm does not yield a convergent amplitude (at NLO and N2LO)

• OSTI ID: 21189896
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 77; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
CHIRALITY
CONVERGENCE
DEGREES OF FREEDOM
INCLUSIONS
NEUTRONS
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE PRODUCTION
PIONS
POLYNOMIALS
PROTONS
RENORMALIZATION