Renormalization of chiral two-pion exchange NN interactions with {Delta} excitations: Correlations in the partial-wave expansion

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.044002· OSTI ID:21499551

Pavon Valderrama, M; Ruiz Arriola, E ^[1]

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1. Institut fuer Kernphysik and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich (Germany)

In this work we consider the renormalization of the chiral two-pion exchange potential with explicit {Delta} excitations for nucleon-nucleon scattering at next-to-leading (NLO) and next-to-next-to-leading order (N{sup 2}LO). Because of the singular nature of the chiral potentials, correlations between different partial waves are generated. In particular, we show that two-body scattering by a short distance power like singular attractive interaction can be renormalized in all partial waves with a single counterterm, provided the singularities are identical. A parallel statement holds in the presence of tensor interactions when the eigenpotentials in the coupled channel problem also coincide. Although this construction reduces the total number of counterterms to 11 in the case of nucleon-nucleon scattering with chiral two-pion exchange interactions with {Delta} degrees of freedom, the differences in the scattering phases as compared to the case with the uncorrelated partial-wave renormalization become smaller as the angular momentum is increased in the elastic scattering region.

• OSTI ID: 21499551
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevC.83.044002; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHIRALITY
CORRELATIONS
COUPLED CHANNEL THEORY
DEGREES OF FREEDOM
ELASTIC SCATTERING
EXCHANGE INTERACTIONS
EXCITATION
EXPANSION
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PIONS
RENORMALIZATION
SINGULARITY
BARYON-BARYON INTERACTIONS
BOSONS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MESONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
SCATTERING