Analyticity in Coupling Constant, Angular Momentum and Energy of the S -Matrix for Potential Scattering

Journal Article · Sat Jun 01 00:00:00 EDT 1963 · Progress of Theoretical Physics (Kyoto)

DOI:https://doi.org/10.1143/PTP.29.908· OSTI ID:4646422

Konisi, Gaku; Ogimoto, Takesi

It is shown that the amplitude for scatterrng by a superposition of the Yukawa potential is a meromorphic function of coupling constant g, angular momentum l, and linear momentum k. Regge poles for bound states are seen to be non-decreasing function of g. In the case of l real, poles in the g-plane are shown, as a function of energy (E = k²) to be real analytic R-functions with no left-hand cut. Finally, a holomorphy domain of the S-matrix in three variables is obtained.

• Research Organization: Kwansei Gakuin Univ., Nishinomiya, Japan
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-034810
• OSTI ID: 4646422
• Journal Information: Progress of Theoretical Physics (Kyoto), Vol. 29, Issue 6; Other Information: Orig. Receipt Date: 31-DEC-63; ISSN 0033-068X
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTIC FUNCTIONS
ANGULAR MOMENTUM
BINDING ENERGY
COUPLING CONSTANTS
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
FIELD THEORY
INTERACTIONS
MATHEMATICS
MATRICES
MOMENTUM
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM MECHANICS
REGGE POLES
S-MATRIX
SCATTERING
YUKAWA POTENTIAL