$A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
| Autor: | Le, Hoai, Haidenbauer, Johann, Meißner, Ulf-G., Nogga, Andreas |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epja/s10050-021-00653-y |
| Popis: | We investigate the existence of bound $\Xi$ \break states in systems with $A=4-7$ baryons using the Jacobi NCSM approach in combination with chiral NN and $\Xi$N interactions. We find three shallow bound states for the NNN$\Xi$ system (with $(J^\pi,T)=(1^+,0)$, $(0^+,1)$ and $(1^+,1)$) with quite similar binding energies. The $^5_{\Xi}\mathrm{H}(\frac{1}{2}^+,\frac{1}{2})$ and $^7_{\Xi}\mathrm{H}(\frac{1}{2}^+,\frac{3}{2})$ hypernuclei are also clearly bound with respect to the thresholds $^4\mathrm{He} + \Xi$ and $^6\mathrm{He} +\Xi$, respectively. The binding of all these $\Xi$ systems is predominantly due to the attraction of the chiral $\Xi$N potential in the $^{33}S_1$ channel. A perturbative estimation suggests that the decay widths of all the observed states could be rather small. Comment: 12 pages, 2 figures |
| Databáze: | arXiv |
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