Lightest Kaonic Nuclear Clusters
Abstract
We present our study of kaonic three-body $\overset{\_}{K}NN$, $\overset{\_}{K}\overset{\_}{K}N$ and $KK\overset{\_}{K}$ and four-body $\overset{\_}{K}% NNN $, $\ $and $\overset{\_}{K}\overset{\_}{K}NN$ clusters within the framework of a potential model using the method of hyperspherical functions in momentum representation. To perform a numerical calculations for the bound state energy of the light kaonic system, we use a set of different potentials for the nucleon-nucleon and $\overset{\_}{K}N$ interactions, as well as for the kaon-kaon interaction. The calculations show that a quasibound state energy is not sensitive to the $NN$ interaction, and it shows very strong dependence on the $\overset{\_}{K}N$ potential. We also compare our results with those obtained using different theoretical approaches. The theoretical discrepancies in the binding energy and width for the lightest kaonic system related to the different $NN$ and $\overset{\_% }{K}N$ interactions are addressed.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2015
- DOI:
- 10.48550/arXiv.1510.00478
- arXiv:
- arXiv:1510.00478
- Bibcode:
- 2015arXiv151000478K
- Keywords:
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- Nuclear Theory
- E-Print:
- Talk presented CIPANP2015. 8 pages, LaTeX