Nonstatic, self-consistent. pi. N t matrix in nuclear matter

Journal Article · Wed Aug 01 04:00:00 EDT 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.30.633· OSTI ID:6619831

Van Orden, J W

In a recent paper, a calculation of the self-consistent ..pi..N t matrix in nuclear matter was presented. In this calculation the driving term of the self-consistent equation was chosen to be a static approximation to the free ..pi..N t matrix. In the present work, the earlier calculation is extended by using a nonstatic, fully-off-shell free ..pi..N t matrix as a starting point. Right-hand pole and cut contributions to the P-wave ..pi..N amplitudes are derived using a Low expansion and include effects due to recoil of the interacting ..pi..N system as well as the transformation from the ..pi..N c.m. frame to the nuclear rest frame. The self-consistent t-matrix equation is rewritten as two integral equations which modify the pole and cut contributions to the t matrix separately. The self-consistent ..pi..N t matrix is calculated in nuclear matter and a nonlocal optical potential is constructed from it. The resonant contribution to the optical potential is found to be broadened by 20% to 50% depending on pion momentum and is shifted upward in energy by approximately 10 MeV in comparison to the first-order optical potential. Modifications to the nucleon pole contribution are found to be negligible.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6619831
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 30:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653002* -- Nuclear Theory-- Nuclear Matter
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
ELASTIC SCATTERING
EQUATIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
MATRICES
MATTER
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR MATTER
OPTICAL MODELS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PION-NUCLEON INTERACTIONS
PROPAGATOR
RECOILS
S MATRIX
SCATTERING
SCATTERING AMPLITUDES