ON ANGULAR MOMENTUM ANALYTICITY IN HARD CORE POTENTIAL SCATTERING

Journal Article · Mon Apr 15 04:00:00 EST 1963 · Phys. Letters

DOI:https://doi.org/10.1016/0031-9163(63)90281-6· OSTI ID:4704738

Brander, O

Analyticity of the scattering amplitude in the angular momentum (l) is proved for potential scattering when Re( lambda )L0 in which l = lambda -1/2. From the edge of the hard core to infinity, the S-matrix for potential scattering is meromorphic in the topological product of the finite lambda and k planes, except for two branch points in the k plane. At infinity, the hard core causes essential singularities for the S-matrix in both the lambda and k plane. (C.E.S.)

• Research Organization: Chalmers Univ. of Tech., Goteborg
• NSA Number: NSA-17-024333
• OSTI ID: 4704738
• Journal Information: Phys. Letters, Journal Name: Phys. Letters Vol. Vol: 4
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
CONFIGURATION
CROSS SECTIONS
HARD-CORE POTENTIAL
INTERACTIONS
MATRICES
MOMENTUM
PHYSICS
QUANTUM MECHANICS
S-MATRIX
SCATTERING