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

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. In: 4th Symposium on Applied Science, Business & Industrial Research (ASBIRES 2012), 10 May 2012, 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


Statistics for USQ ePrint 47815
Statistics for this ePrint Item
Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: No Faculty
Faculty/School / Institute/Centre: No Faculty
Date Deposited: 21 Apr 2022 04:24
Last Modified: 21 Apr 2022 04:24
Uncontrolled Keywords: Analyticity, Charge particle. S-matrix element
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490205 Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory
49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490299 Mathematical physics not elsewhere classified
51 PHYSICAL SCIENCES > 5108 Quantum physics > 510899 Quantum physics not elsewhere classified
URI: http://eprints.usq.edu.au/id/eprint/47815

Actions (login required)

View Item Archive Repository Staff Only