Coupled-channels Faddeev AGS calculation of $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states
| Autor: | Marri, S., Kalantari, S. Z. |
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| Rok vydání: | 2016 |
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| Zdroj: | Eur. Phys. J. A, 52, 282 (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epja/i2016-16282-y |
| Popis: | Using separable $\bar{K}N-\pi\Sigma$ potentials in the Faddeev equations, we calculated the binding energies and widths of the $K^{-}pp$, $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states on the basis of three- and four-body Alt-Grassberger-Sandhas equations in the momentum representation. One- and two-pole version of $\bar{K}N-\pi\Sigma$ interaction are considered and the dependence of the resulting few-body energy on the two-body $\bar{K}N-\pi\Sigma$ potential was investigated. The $s$-wave [3+1] and [2+2] sub-amplitudes are obtained by using the Hilbert-Schmidt expansion procedure for the integral kernels. As a result, we found a four-body resonance of the $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states with a binding energy in the range $B_{K^{-}ppn}\sim{55-70}$ and $B_{K^{-}ppp}\sim{90-100}$ MeV, respectively. The calculations yielded full width of $\Gamma_{K^{-}ppn}\sim{16-20}$ and $\Gamma_{K^{-}ppp}\sim{7-20}$ MeV. Comment: 16 pages, 4 figures |
| Databáze: | arXiv |
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