SINGULARITIES OF A RELATIVISTIC SCATTERING AMPLITUDE IN THE COMPLEX ANGULAR MOMENTUM PLANE

Journal Article · Fri Nov 01 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys.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.132.1361· OSTI ID:4688426

Bardakei, K; Geffen, D A

The analytic properties of the partial-wave amplitude in the complex angular momentum plane are investigated in a relativistic scalar-meson theory. Using a N/D decomposition, the numerator and denominator are calculated by perturbative expansions to fourth order in the coupling constant. Higher order poles at negative integer values of l are found in both the numerator and denominator, leading to a breakdown in their perturbation expansions near these singularities. The same breakdown occurs for all but the leading Regge trajectory. It is further found that, to fourth order, due to inelastic processes, the denominator has branch cuts for values of l near negative integers. (auth)

• Research Organization: Univ. of Minnesota, Minneapolis
• NSA Number: NSA-17-041808
• OSTI ID: 4688426
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 132; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
COUPLING CONSTANTS
CROSS SECTIONS
ELEMENTARY PARTICLES
FIELD THEORY
INTERACTIONS
MATHEMATICS
MESONS
MOMENTUM
N/D METHOD
NUMERICALS
PERTURBATION THEORY
PHYSICS
POLOLOGY
REGGE POLES
RELATIVITY THEORY
SCATTERING
WIENER-HOPF METHOD