Pion-nucleon scattering at low energies

Journal Article · Mon Dec 01 04:00:00 EST 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.56.3363· OSTI ID:550622

Ellis, P J; Tang, H ^[1]

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1. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We study pion-nucleon scattering at tree level with a chiral Lagrangian of pions, nucleons, and {Delta} isobars using a K-matrix unitarization procedure. Evaluating the scattering amplitude to order Q{sup 2}, where Q is a generic small momentum scale, we obtain a good fit to the experimental phase shifts for pion center-of-mass kinetic energies up to 50 MeV. The fit can be extended to 150 MeV when we include the order-Q{sup 3} contributions. Our results are independent of the off-shell {Delta} parameter. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: University of Minnesota
• DOE Contract Number: FG02-87ER40328
• OSTI ID: 550622
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 6 Vol. 56; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
DELTA BARYONS
K MATRIX
KINETIC ENERGY
LAGRANGIAN FUNCTION
MANDELSTAM REPRESENTATION
PION-NUCLEON INTERACTIONS
SCATTERING AMPLITUDES