On the Systematic of Anomalous Absorption of Partial Waves by the Nuclear Optical Potential

Paper


Dahanayaka, S. D. and Jayasinghe, W. J. M. L. P.. 2012. "On the Systematic of Anomalous Absorption of Partial Waves by the Nuclear Optical Potential." 4th Symposium on Applied Science, Business & Industrial Research (ASBIRES 2012). Sri Lanka 10 May 2012 Sri Lanka.
Paper/Presentation Title

On the Systematic of Anomalous Absorption of Partial Waves by the Nuclear Optical Potential

Presentation TypePaper
AuthorsDahanayaka, S. D. (Author) and Jayasinghe, W. J. M. L. P. (Author)
Journal or Proceedings TitleProceedings of the 4th Symposium on Applied Science, Business & Industrial Research (ASBIRES 2012)
Number of Pages3
Year2012
Place of PublicationSri Lanka
ISBN9789558746950
Conference/Event4th Symposium on Applied Science, Business & Industrial Research (ASBIRES 2012)
Event Details
4th Symposium on Applied Science, Business & Industrial Research (ASBIRES 2012)
Event Date
10 May 2012
Event Location
Sri Lanka
Abstract

Analyticity of elastic S-matrix element in the complex K-plane is discussed for local energy independent nuclear optical potential with the Coulomb potential. It is found that the usual symmetry relations of the S-matrix hold. However, an essential singularity is introduced at the origin of the complex K-plane in the so-called nuclear S-matirx element in addition to the infinite number of zeros and poles apparently introduced due to the Coulomb potential which are on the imaginary axis. All these singularities and zeros are redundant and are disappeared in the total S-matrix element which is more physically meaningful than the nuclear S-matirx element. It can be shown that the essential singularity at the origin is a mathematical artifice and hence it is unphysical

KeywordsAnalyticity, Charge particle. S-matrix element
ANZSRC Field of Research 2020490205. Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory
490299. Mathematical physics not elsewhere classified
510899. Quantum physics not elsewhere classified
Public Notes

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Byline AffiliationsUniversity of Kelaniya, Sri Lanka
Wayamba University of Sri Lanka
Institution of OriginUniversity of Southern Queensland
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