Investigation on the from QCD sum rules

Su, N.*; Chen, H.-X.*; Gubler, P. ; Hosaka, Atsushi

We study the recently observed baryon in quantum chromodynamics (QCD) sum rules. We construct the P-wave baryon currents with a covariant derivative, and perform spin projection to obtain the currents with total spin 1/2 and 3/2. We then apply the parity-projected QCD sum rules to separate the contributions of the positive and negative parity states. We extract the masses of $J^P = 1/2^{-}$ and $3/2^{-}$ states to be $M_{1/2^-} = 2.07^{+0.07}_{-0.07}$ GeV and $M_{3/2^-} = 2.05^{+0.09}_{-0.10}$ GeV. Both results are in good agreement with the experimental result. Therefore, it is likely that the is a negative parity state, which is interpreted as a P-wave excited state in the quark model. However, its spin is not determined in the present analysis, which can be done by detailed study on its decay properties.

Language	:	English
Journal	:	Physical Review D
Volume	:	110
Number	:	3
Pages	:	p.034007_1 - 034007_9
Publication Year/Month	:	2024/08
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Paper URL	:	https://doi.org/10.1103/PhysRevD.110.034007
DOI for research data	:	Link to research data related to this paper/report.
Keywords	:	Omega Baryons; QCD sum rules
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Cooperating Institute	:	Southeast University; 大阪大学核物理研究センター

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Registration No. : AA20240463
JAEA Abstracts No. : 53000332
Paper Submission No. : 29125

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