Year: 2026
Type: preprint
Abstract: We theoretically study the line shape of the experiment for $Ω(2012)$ production in the $Ξ^- π^+ K^-$ and $Ξ^0 K^-$ decay modes, reflecting the $Ξ^* \bar K$ and $Ξ\bar K$ decay modes, from the perspective that the $Ω(2012)$ is a molecular state dynamically generated from the interaction of the $Ξ^* \bar K $ and $Ωη$, coupled channels with $Ξ\bar K$ as a decay channel. We show the consistency of the picture with the experimental mass distributions, giving support to the molecular picture for the $Ω(2012)$ state. We also call the attention to the sensitivity of the results to the cut imposed on the $πΞ$ invariant mass, and suggest a different method to obtain the ratio $R^{Ξπ\bar K}_{Ξ\bar K}$ of the three-body to two-body decay widths used so far as a test of the molecular picture. We stress that the direct comparison with the experimental mass distributions done here is a more stringent test of the molecular nature of the $Ω(2012)$ state than the comparison of the ratio $R^{Ξπ\bar K}_{Ξ\bar K}$ which has been so far obtained using different criteria.
Source: arXiv (Cornell University)
Authors: Ikeno, Natsumi, Oset, Eulogio
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1038765033, G1392915876, G14744916, G1570660777, G1831862684, G2088816128, G3111662533, G3142173218, G3176647223, G341721890, The strong interaction at the frontier of knowledge: fundamental research and applications, G3480961101, G3753556305, G4301024709, G4328693028, G5805502524, G6364395297, G6757515635, G680252854, G705951570, G7451223319, G745419941, G7902283404, 光波測量による近畿,中国, 四国地方の地かく変動の研究, Exploration of new frontiers in exotic hadrons
OpenAlex ID: W7213595435
