Light double-gluon hybrid states with the exotic quantum numbers <math display="inline"><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>1</mn><mrow><mo>-</mo><mo>+</mo></mrow></msup></math> and <math display="inline"><msup><mn>3</mn><mrow><mo>-</mo><mo>+</mo></mrow></msup></math>

Su, Niu; Tan, Wei-Han; Chen, Hua-Xing; Chen, Wei; Zhu, Shi-Lin

doi:10.1103/PhysRevD.107.114005

Light double-gluon hybrid states with the exotic quantum numbers $J^{P C} = 1^{- +}$ and $3^{- +}$

Niu Su
(
- Southeast U., Nanjing
)
,
Wei-Han Tan
(
- Southeast U., Nanjing
)
,
Hua-Xing Chen
(
- Southeast U., Nanjing
)
,
Wei Chen
(
- Zhongshan U.
)
,
Shi-Lin Zhu
(
- Peking U. and
- Peking U., CHEP
)

Mar 23, 2023

14 pages

Published in:

Phys.Rev.D 107 (2023) 11, 114005

Published: Jun 1, 2023

e-Print:

2303.13198 [hep-ph]

DOI:

10.1103/PhysRevD.107.114005 (publication)

View in:

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Abstract: (APS)

We apply the QCD sum rule method to study the double-gluon hybrid states with the quark-gluon contents

\bar{q} q g g

(

q = u / d

) and

\bar{s} s g g

. We construct twenty-eight double-gluon hybrid currents, eleven of which are found to be zero due to some internal symmetries between the two gluons fields. We concentrate on the nonvanishing currents with the exotic quantum numbers

J^{P C} = 1^{- +}

and

3^{- +}

. Their masses are calculated to be

M_{| \bar{q} q g g; 1^{- +} ⟩} = 4.3 5_{- 0.30}^{+ 0.26} GeV

,

M_{| \bar{s} s g g; 1^{- +} ⟩} = 4.4 9_{- 0.30}^{+ 0.25} GeV

,

M_{| \bar{q} q g g; 3^{- +} ⟩} = 3.0 2_{- 0.31}^{+ 0.24} GeV

, and

M_{| \bar{s} s g g; 3^{- +} ⟩} = 3.1 6_{- 0.28}^{+ 0.22} GeV

. The decay behaviors of the

J^{P C} = 3^{- +}

states are studied, and we propose to search for them in the

π a_{1} (1260) / ρ ω / ϕ ϕ

channels in future particle experiments.

Note:

14 pages, 3 figures, 2 tables, slightly modified, accepted by PRD

quantum number: exotic
symmetry: internal
quantum chromodynamics: sum rule
GeV
hybrid
quark gluon
two-gluon

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