Off-shell model of the pion-nucleon T matrix

Journal Article · Tue Aug 01 00:00:00 EDT 1978 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.18.604· OSTI ID:6985745

Liu, L C; Shakin, C M

In the study of pion interactions with the nucleus one requires an off-shell model of the pion-nucleon scattering amplitude. It is desireable to have an amplitude that is not only correct on shell, but also has reasonable off-shell properties. In this work we introduce an off-shell model of the ..pi..-N T matrix that is composed of two parts. The first part has the correct s and u channel nucleon poles and the second part is represented by a separable form. The model provides a good fit to the on-shell data up to ..sqrt..s approx. = 1300 MeV and provides a satisfactory representation of the off-shell behavior in the region M/sub N//sup 2/ < s < (M/sub N/ + 3m/sub ..pi../)/sup 2/. This range includes a subthreshold region which is important for the description of low-energy pion-nucleus scattering.

• Research Organization: Department of Physics
• OSTI ID: 6985745
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 18:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions &amp; Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
CHARGED-PARTICLE REACTIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATRICES
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR REACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PION REACTIONS
PION-NUCLEON INTERACTIONS
S MATRIX
SCATTERING AMPLITUDES
UNITARITY