Faddeev calculations for light $\Xi$-hypernuclei
Abstract
The hypernuclear systems $NN\Xi $ and $\Xi\Xi N$ are considered as an analogue of $nnp$ ($^3$H) nuclear system (with the notation as $AAB$ system). We use the recently proposed modification for the $s$-wave Malfliet-Tjon potential. The modification simulates the Extended-Soft-Core model (ESC08c) for baryon-baryon interactions. The $\Xi N$ spin/isospin triplet $(S, I)=(1, 1)$ potential generates a bound state with the energy $B_2(AB)$=1.56~MeV. Three-body binding energy $B_3$ for the states with maximal total isospin is calculated employing the configuration-space Faddeev equations. Comparison with the results obtained within the integral representation for the equations is presented. The different types of the relation between $B_2$ and $B_3(V_{AA}=0)$ are discussed.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2017
- DOI:
- 10.48550/arXiv.1705.03446
- arXiv:
- arXiv:1705.03446
- Bibcode:
- 2017arXiv170503446F
- Keywords:
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- Nuclear Theory
- E-Print:
- 11 pages, 4 figures