Structure of $\Lambda$(1405) resonance and $\gamma{p}\rightarrow K^{+}+(\pi\Sigma)^{0}$ reaction
| Autor: | Marri, S., Nasrabadi, M. N., Kalantari, S. Z. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 103, 055204 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.103.055204 |
| Popis: | Three-body calculations of $K\bar{K}N$ system with quantum numbers $I=1/2$, $J^{\pi}=(\frac{1}{2})^{+}$ were performed. Using separable potentials for two-body interactions, we calculated the $\pi\Sigma$ mass spectra for the $(\bar{K}N)_{I=0}+K^{+}\rightarrow(\pi\Sigma)^{0}K^{+}$ reaction on the basis of three-body Alt-Grassberger-Sandhas equations in the momentum representation. In this regard, different types of $\bar{K}N-\pi\Sigma$ potentials based on phenomenological and chiral SU(3) approach are used. The possibility to observe the trace of $\Lambda(1405)$ resonance in $(\pi\Sigma)^{0}$ mass spectra was studied. Using the $\chi^{2}$ fitting, it was shown that the mass of $\Lambda$(1405) resonance is about 1417 $\mathrm{MeV}/c^{2}$. Comment: 10 pages, 6 figures, accepted for publication in PRC |
| Databáze: | arXiv |
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