Analyticity of the charge-monopole scattering amplitude

Balachandran, A. P. ; Borchardt, S. ; Chang, S. S. ; Stern, A. ; Cahalan, R. ; Ramachandran, R. ; Rupertsberger, H. (1978) Analyticity of the charge-monopole scattering amplitude Physical Review D - Particles, Fields, Gravitation and Cosmology, 17 (4). pp. 1150-1154. ISSN 1550-7998

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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.

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Source:Copyright of this article belongs to The American Physical Society.
ID Code:39088
Deposited On:06 May 2011 12:49
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