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Title: Lattice quantum chromodynamics (QCD) studies on decuplet baryons as meson-baryon bound states in the HAL QCD method
Authors: Murakami, Kotaro
Akahoshi, Yutaro
Aoki, Sinya
Doi, Takumi
Sasaki, Kenji
HAL QCDCollaboration
Author's alias: 村上, 耕太郎
赤星, 友太郎
青木, 愼也
Keywords: B64 Lattice QCD
D32 Hadron structure and interactions
Issue Date: Apr-2023
Publisher: Oxford University Press (OUP)
The Physical Society of Japan
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2023
Issue: 4
Thesis number: 043B05
Abstract: We study decuplet baryons from meson–baryon interactions in lattice quantum chromodynamics (QCD), in particular, Δ and Ω baryons from P-wave I = 3/2 Nπ and I = 0 $Xi bar{K}$ interactions, respectively. Interaction potentials are calculated in the HAL QCD method using 3-quark-type source operators at mπ ≈ 410 MeV and mK ≈ 635 MeV, where Δ as well as Ω baryons are stable. We use the conventional stochastic estimate of all-to-all propagators combined with the all-mode averaging to reduce statistical fluctuations. We have found that the $Xi bar{K}$ system has a weaker attraction than the Nπ system while the binding energy from the threshold is larger for Ω than Δ. This suggests that an inequality $m_{N}+m_{pi }-m_{Delta }lt m_{Xi }+m_{bar{K}}-m_{Omega }$ comes mainly from a smaller spatial size of a $Xi bar{K}$ bound state due to a larger reduced mass, rather than its interaction. Root-mean-square distances of bound states in both systems are small, indicating that Δ and Ω are tightly bound states and thus can be regarded qualitatively as composite states of three quarks. Results of binding energies agree with those obtained from temporal two-point functions within large systematic errors, which arise dominantly from the lattice artifact at short distances.
Rights: © The Author(s) 2023. Published by Oxford University Press on behalf of the Physical Society of Japan.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Funded by SCOAP3. SCOAP3 and OUP support the goals of the International Year of Basic Sciences for Sustainable Development.
URI: http://hdl.handle.net/2433/285590
DOI(Published Version): 10.1093/ptep/ptad044
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