Regge Poles in High-Energy Potential Scattering
Journal Article
·
· Journal of Mathematical Physics
High-energy potential scattering based on the Schrodinger equation was investigated using Regge poles. When the Watson-Sommerfeld integral is directly applied in the left half-plane, it is not useful at all in order to derive the scattering amplitude but gives a condition which governs the behavior of Regge poles. They are distributed with residues such that their contributions cancel against each other in the nonforward direction, provided that the integral at irfinity is ignored. When Mandelstam's technique is used, the Legendre function of the first kind and the secant in the original W-S integral are replaced by the Legendre function of the second kind and the cosecant, respectively. This allows summation over partial waves more easily than with the conventional series. In high-energy potential scattering one cannot single out an individual Regge pole. The same conclusion follows when Khuri's representation is used.
- Research Organization:
- New York Univ., New York
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-037949
- OSTI ID:
- 4646353
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 4; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
KHURI REPRESENTATION
LEGENDRE FUNCTIONS
MANDELSTAM REPRESENTATION
MATHEMATICS
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM MECHANICS
REGGE POLES
SCATTERING
SCHROEDINGER EQUATION
SOMMERFELD-WATSON THEORY
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
KHURI REPRESENTATION
LEGENDRE FUNCTIONS
MANDELSTAM REPRESENTATION
MATHEMATICS
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM MECHANICS
REGGE POLES
SCATTERING
SCHROEDINGER EQUATION
SOMMERFELD-WATSON THEORY