BEHAVIOR OF REGGE POLES IN A POTENTIAL AT LARGE ENERGY

Journal Article · Thu Nov 01 00:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys.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.128.1418· OSTI ID:4779807

Bethe, H A; Kinoshita, T

Following Mandelstam's suggestion, a potential which can be expanded in a power series in r, beginning with 1/r, is considered. Then at large energy (positive or negative) there will be Regge Poles at all negative integral values of 1. If the 1/r term is absent in the expansion of the potential, the pole at 1 = -1 will be absent. Generally, if r/sup 2n-1/ is the first nonvanishing odd power term in the potential expansion. the poles at -1,-2,...,-n are absent. If the potential expansion contains only even non-negative powers of r, there will be no Regge poles at finite negative 1 in the limit of large energy. If the potential behaves as -a/r/sup 2/ at small r, the scattering amplitude has a cut in the l plane from -1/2-a1/2 to -1/2 + a1/2, and the Regge poles are no longer located at negative integers at large energy, For finite energy, it is shown that a pole at a positive integer or halfinteger 1 implies another pole at -1-1 but that the resi, dues at these poles are, in general, different from each other. (auth)

• Research Organization: Cornell Univ., Ithaca, N.Y.
• NSA Number: NSA-17-000758
• OSTI ID: 4779807
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 128; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELEMENTARY PARTICLES
FIELD THEORY
MANDELSTAM REPRESENTATION
NUCLEAR POTENTIAL
PHYSICS
REGGE POLES