Analyticity of the charge-monopole scattering amplitude

Journal Article · Tue Feb 14 23:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.1150· OSTI ID:6819786

Balachandran, A P; Borchardt, S; Chang, S S; Stern, A; Cahalan, R; Ramachandran, R; Rupertsberger, H

We study the analyticity in costheta of the exact quantum-mechanical electric-charge-magnetic-monopole scattering amplitude by ascribing meaning to its formally divergent partial-wave expansion as the boundary value of an analytic function. This permits us to find an integral representation for the amplitude which displays its analytic structure. On the physical sheet we find only a branch-point singularity in the forward direction, while on each of the infinitely many unphysical sheets we find a logarithmic branch-point singularity in the backward direction as well as the same forward structure.

• Research Organization: Physics Department, Syracuse University, Syracuse, New York 13210, and Center for Theoretical Studies, Indian Institute of Science, Bangalore, 560012, India.
• OSTI ID: 6819786
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BOUNDARY CONDITIONS
CLASSICAL MECHANICS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
ELECTRIC CHARGES
ELEMENTARY PARTICLES
EQUATIONS
MAGNETIC MONOPOLES
MECHANICS
MONOPOLES
PARTIAL WAVES
POSTULATED PARTICLES
QUANTUM MECHANICS
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
WAVE EQUATIONS