Dynamical theory for the off-shell continuation of the. pi. N T-matrix

Journal Article · Sun Apr 15 04:00:00 EST 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90140-4· OSTI ID:6740519

Reiner, J J

A dynamical theory, based on analyticity and dispersion theory, for the half-off-shell continuation of the on-shell ..pi..N t-matrix is proposed and developed. The resulting half-shell t-matrix is covarient, unitary, crossing symmetric, an based on a field-theoretic foundation. The dynamical information required to continue half off shell is obtained from field theory and consists of the off-shell amplitudes corresponding to the exchange of the nucleon in the s-equations is derived for the partial wave half-shell t-matrix, which is truncated at the S- and P-waves and solved numerically. The results are compared with those obtained from various separable model of the ..pi..N g-matrix. The half-shell t-matrix is examined for separability and is found to be approximately separable in the P/sub 33/ and P/sub 31/ states. The dynamical content of the half-shell t-matrix is further illustrated by modeling the dynamical equation.

• Research Organization: Physics Department, Virginia Polytechnic Institute, and State University, Blacksburg, Virginia 24061 and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 6740519
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 154:1; ISSN APNYA
• Country of Publication: United States
• Language: English

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COUPLING CONSTANTS
CROSSING SYMMETRY
DISPERSION RELATIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
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S MATRIX
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