Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory

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

DOI:https://doi.org/10.1103/PHYSREVC.77.014002· OSTI ID:21068033

Yang, C -J; Elster, Ch; Phillips, D R ^[1]

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1. Institute of Nuclear and Particle Physics, and Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701 (United States)

The leading-order nucleon-nucleon (NN) potential derived from chiral perturbation theory consists of one-pion exchange plus short-distance contact interactions. We show that in the {sup 1}S{sub 0} and {sup 3}S{sub 1}-{sup 3}D{sub 1} channels, renormalization of the Lippmann-Schwinger equation for this potential can be achieved by performing one subtraction. This subtraction requires as its only input knowledge of the NN scattering lengths. This procedure leads to a set of integral equations for the partial-wave NNt matrix which gives cutoff-independent results for the corresponding NN phase shifts. This reformulation of the NN scattering equation offers practical advantages, because only observable quantities appear in the integral equation. The scattering equation may then be analytically continued to negative energies, from which information on bound-state energies and wave functions can be extracted.

• OSTI ID: 21068033
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 77; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
CHIRALITY
INTERACTION RANGE
LIPPMANN-SCHWINGER EQUATION
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
PARTIAL WAVES
PERTURBATION THEORY
PHASE SHIFT
PIONS
RENORMALIZATION
S MATRIX
SCATTERING
SCATTERING AMPLITUDES
SCATTERING LENGTHS
WAVE FUNCTIONS