Line shapes of Ω(2012) production in the $Ξ\bar K $ and ΞπK̅ decay channels
Abstract
We theoretically study the line shape of the experiment for Ω(2012) production in the Ξ- π+ K- and Ξ0 K- decay modes, reflecting the Ξ* K̅ and ΞK̅ 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 ΞK̅ 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 RΞπK̅ΞK̅ 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 RΞπK̅ΞK̅ which has been so far obtained using different criteria.
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BibTeX
@misc{ikeno2026line,
title = {{Line shapes of $Ω(2012)$ production in the $Ξ\bar K $ and $Ξπ\bar K$ decay channels}},
author = {Natsumi Ikeno and Eulogio Oset},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20654},
eprint = {2609.20654},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20654},
}
RIS
TY - UNPB
TI - Line shapes of Ω(2012) production in the $Ξ\bar K $ and ΞπK̅ decay channels
AU - Natsumi Ikeno
AU - Eulogio Oset
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.20654
UR - https://arxiv.org/abs/2609.20654
AB - 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^* K̅ and ΞK̅ 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 ΞK̅ 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^ΞπK̅_ΞK̅ 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^ΞπK̅_ΞK̅ which has been so far obtained using different criteria.
ER -