Renormalization of the NN interaction with a chiral two-pion-exchange potential: Central phases and the deuteron

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.054001· OSTI ID:20864014

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

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1. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)

We analyze the renormalization of the NN interaction at low energies and the deuteron bound state through the chiral two-pion-exchange potential assumed to be valid from zero to infinity. The short distance van der Waals singularity structure of the potential as well as the requirement of orthogonality conditions on the wave functions determine that after renormalization, in the {sup 1}S{sub 0} singlet channel and in the {sup 3}S{sub 1}-{sup 3}D{sub 1} triplet channel, one can use the deuteron binding energy, the asymptotic D/S ratio, and the S-wave scattering lengths as well as the chiral potential parameters as independent variables. We use then the asymptotic wave function normalization A{sub S} of the deuteron and the singlet and triplet effective ranges to determine the chiral constants yielding c{sub 1},c{sub 3}, and c{sub 4}. The role of finite cutoff corrections, the loss of predictive power due to uncertainties in the input data, and the connection to one-pion-exchange distorted wave perturbative approaches is also discussed.

• OSTI ID: 20864014
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 74; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
BOUND STATE
CHIRALITY
CORRECTIONS
DEUTERONS
DISTORTED WAVE THEORY
NUCLEON-NUCLEON INTERACTIONS
PIONS
POTENTIALS
RENORMALIZATION
S WAVES
SCATTERING LENGTHS
SINGULARITY
TRIPLETS
VAN DER WAALS FORCES
WAVE FUNCTIONS