Faddeev calculations for light $\Xi$-hypernuclei

Igor Filikhin; Vladimir M. Suslov; Branislav Vlahovic

Faddeev calculations for light $\Xi$-hypernuclei

Nuclear Theory 2017-05-10 v1

Authors: Igor Filikhin , Vladimir M. Suslov , Branislav Vlahovic

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.

Keywords

three-body problem nuclear excited states

Cite

@article{arxiv.1705.03446,
  title  = {Faddeev calculations for light $\Xi$-hypernuclei},
  author = {Igor Filikhin and Vladimir M. Suslov and Branislav Vlahovic},
  journal= {arXiv preprint arXiv:1705.03446},
  year   = {2017}
}

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11 pages, 4 figures

Faddeev calculations for light $\Xi$-hypernuclei

Abstract

Keywords

Cite

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