Light tetraquark states with exotic quantum numbers <math display="inline"><mrow><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>2</mn><mrow><mo>+</mo><mo>-</mo></mrow></msup></mrow></math>

Wang, Qi-Nan; Lian, Ding-Kun; Chen, Wei

doi:10.1103/PhysRevD.110.034022

Light tetraquark states with exotic quantum numbers $J^{P C} = 2^{+ -}$

Qi-Nan Wang
(
- SYSU, Guangzhou
)
,
Ding-Kun Lian
(
- SYSU, Guangzhou
)
,
Wei Chen
(
- SYSU, Guangzhou and
- Lanzhou, Inst. Modern Phys.
)

Apr 29, 2024

12 pages

Published in:

Phys.Rev.D 110 (2024) 3, 034022

Published: Aug 1, 2024

e-Print:

2404.18547 [hep-ph]

DOI:

10.1103/PhysRevD.110.034022 (publication)

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Abstract: (APS)

We study the masses of light tetraquark states

u d \bar{u} \bar{d}

,

u s \bar{u} \bar{s}

, and

s s \bar{s} \bar{s}

with exotic quantum numbers

J^{P C} = 2^{+ -}

using the method of QCD sum rules. It is found that there is no tetraquark operator with two Lorentz indices coupling to the

2^{+ -}

quantum numbers. To investigate such tetraquark states, we construct the interpolating tetraquark currents with three Lorentz indices and without a derivative operator. We calculate the correlation functions up to dimension-ten condensates and extract the

2^{+ -}

invariant functions via the projector operator. Our results show that the masses of the

u d \bar{u} \bar{d}

,

u s \bar{u} \bar{s}

, and

s s \bar{s} \bar{s}

tetraquark states with

J^{P C} = 2^{+ -}

are about 3.3–3.5, 3.5–3.7, and 3.67 GeV, respectively. We further discuss the strong decays of these light tetraquarks into the two-meson and baryon-antibaryon final states and suggest to search for them in the

ρ π

,

ω π

,

ϕ π

,

b_{1} π

,

h_{1} π

,

K {\bar{K}}^{*}

,

K {\bar{K}}_{1}

,

Δ \bar{Δ}

,

Σ^{*} {\bar{Σ}}^{*}

,

Ξ^{*} {\bar{Ξ}}^{*}

, and

Ω \bar{Ω}

channels in the future.

Note:

12 pages, 7 figures. Accepted by Physical Review D

quantum number: exotic
operator: derivative
quantum chromodynamics: sum rule
dimension: 10
baryon antibaryon: final state
tetraquark
GeV
Lorentz
correlation function
condensation

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Light tetraquark states with exotic quantum numbers JPC=2+-

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Light tetraquark states with exotic quantum numbers $J^{P C} = 2^{+ -}$