Analyticity of the charge-monopole scattering amplitude

Balachandran, AP and Borchardt, S and Cahalan, R and Ramachandran, R and Rupertsberger, H and Chang, SS (1978) Analyticity of the charge-monopole scattering amplitude. In: Physical Review D, 17 (4). pp. 1150-1154.

PDF full_text_1.pdf - Published Version Restricted to Registered users only Download (697kB) | Request a copy

Abstract

We study the analyticity in cosθ 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.

Item Type:	Journal Article
Publication:	Physical Review D
Publisher:	The American Physical Society
Additional Information:	Copyright of this article belongs to The American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	19 Oct 2009 09:06
Last Modified:	19 Sep 2010 05:49
URI:	http://eprints.iisc.ac.in/id/eprint/24305

Actions (login required)

View Item