AN INVESTIGATION OF COULOMB SCATTERING AMPLITUDES IN THE COMPLEX ANGULAR MOMENTUM PLANE

Journal Article · Thu Nov 01 00:00:00 EST 1962 · Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B

DOI:https://doi.org/10.1016/0029-5582(62)91074-X· OSTI ID:4745252

Fenster, S

An approach suggested by Regge to study scattering amplitudes analytically continued as functions of complex angular momentum is applied to the Schrodinger, KleinGordon, and Dirac equations with Coulomb potentials. It is found that the energy and angular momentum eigenvalues of bound states are given by the equation for the poles of the scattering amplitude at negative energies. There are no Regge pole resonances, i.e., there are no poles in the first quadrant of the l plane for positive energies. Sommerfeld-Watson integral representations are given in all three cases. In the relativistic cases a branch cut appears in the l plane. The physical interpretation for this is discussed. (auth)

• Research Organization: Univ. of California, Los Angeles
• NSA Number: NSA-17-006974
• OSTI ID: 4745252
• Journal Information: Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B, Vol. Vol: 38; Other Information: Orig. Receipt Date: 31-DEC-63
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
DIRAC EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
FIELD THEORY
MOTION
NUCLEAR MODELS
QUANTUM MECHANICS
REGGE POLES
RELATIVITY THEORY
SCATTERING
SCATTERING AMPLITUDE
SCHROEDINGER EQUATION
SOMMERFELD- WATSON THEORY