Moshinsky Transformation and Slater Integral Methods as Evaluation Tools for Overlap Probability in Six-Quark Bag

Abstract

A comparative study of Moshinsky transformation and Slater integral methods in successful calculation of Binding Energy of mirror hypernuclei pairs ( 6 He ~6 Li   , 14 14 C ~ N   ), using six-quark probability of nucleon-nucleon ( ( ) 6 0 q NN P r ) and nucleon-Λ hyperon ( ( ) 6 0 q N P r  ). The contribution of direct and exchange terms to the six-quark probability show that the Pauli exchange terms in ( ) 0 6 P r q NN is about 40% of the direct term, which leads to a sizable reduction in the six-quark probability. It is observed that the six-quark cluster formation probabilities obtained in Slater method are larger than the corresponding values obtained in Moshinsky method.

Keywords: Moshinsky transformation, Slater integral, hypernuclei, binding energy difference of mirror hypernuclei pairs, six-quark probability

Cite this Article
Madhulika Mehrotra. Moshinsky Transformation and Slater Integral Methods as Evaluation Tools for Overlap Probability in Six-Quark Bag. Journal of Nuclear Engineering & Technology. 2018;8(3): 1–11p.