ANALYTICITY OF THE POSITIONS AND RESIDUES OF REGGE POLES

Journal Article · Sat Sep 15 04:00:00 EDT 1962 · Physical Review (U.S.) Superseded in part by Phys.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.127.2257· OSTI ID:4745223

Taylor, J R

The amplitude a(1,k) for scattering by a superposition of Yukawa potentials is considered as a meromorphic function of angular momentum 1 and linear momentum k. An N/D representation is explicitly given, and is then used to show that the position, alpha (k), and the residue, BETA (k), of its poles in 1---the so-called Regge poles---are holomorphic functions of k, under a certain assumption. Further considered as functions of energy, alpha and BETA /k/sup 2 alpha / are shown to be realanalytic with no left-hand cut. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-16-033773
• OSTI ID: 4745223
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 127; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANALYTIC FUNCTIONS
ANGULAR MOMENTUM
ELEMENTARY PARTICLES
FIELD THEORY
MATHEMATICS
MOMENTUM
NUCLEAR MODELS
PHYSICS
REGGE POLES
SCATTERING
YUKAWA POTENTIAL