ESTIMATION OF RESONANCE POSITION OF THE C 12 Σ HYPERNUCLEAR SYSTEM WITH COMPLEX SQUARE WELL POTENTIAL BY USING GREEN’S FUNCTION METHOD
Abstract
- In this research, differential cross section of C(K,π)Σ C 12 12 6 reaction is formulated by Green’s function method. Imaginary part of this formulation, called spectral function, gives the spectral shape of this reaction. From the spectrum, the resonance position of the reaction is investigated. Green’s function for this reaction is numerically solved. Then the spectral function is calculated and the various spectral shapes are investigated with simple case of complex square-well potentials. The resulting spectral shapes are compared with those of Morimatsu and Yazaki, obtained by analytically solved Green's function. It was observed that the spectral shapes obtained by both methods, i.e., numerical and analytical, are almost identical. This fact shows an advantage of numerical method in cases where analytical solutions are not possible.
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Year
- 2020
Author
-
Htar Win Htike
Subject
- Physics
Publisher
- Myanmar Academy of Arts and Science (MAAS)