ASYMPTOTIC BEHAVIOR OF THE S MATRIX FOR HIGH ANGULAR MOMENTUM

Journal Article · Fri Mar 15 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.129.2818· OSTI ID:4743350

Jaffe, A M; Kim, Y S

The behavior of the partial-wave transition matrix is discussed for large values of the angular momentum. For physical values of the angular momentum, it is shown that the N-channel T matrix vanishes in the high angular momentum limit. The validity of the optical model is discussed. In the Gelfand- Levitan formalism, it is shown that the two Jost functions coincide as the angular momentum goes to infinity along the real axis. For the Yukawa-type potentials, it is shown that the transition matrix reduces to its Born term as the real part of the complex angular momentum variable goes to infinity. (auth)

• Research Organization: Princeton Univ., N.J.
• NSA Number: NSA-17-017023
• OSTI ID: 4743350
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 129; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
GELFAND-LEVITAN EQUATION
JOST FUNCTION
MATHEMATICS
MATRICES
MOMENTUM
NUCLEAR MODELS
OPTICAL MODEL
PHYSICS
QUANTUM MECHANICS
S-MATRIX
SCATTERING
T-MATRIX