Abstract
We present a study for two-quark light-cone distribution amplitudes for the 13D2 light tensor meson states with quantum number JPC=2−−. Because of the G-parity, the chiral-even two-quark light-cone distribution amplitudes of this tensor meson are antisymmetric under the interchange of momentum fractions of the quark and antiquark in the SU(3) limit, while the chiral-odd ones are symmetric. The asymptotic leading-twist LCDAs with the strange quark mass correction are shown. We estimate the relevant parameters, the decay constants fT and fT⊥, and first Gegenbauer moment a1⊥, by using the QCD sum rule method. These parameters play a central role in the investigation of B meson decaying into the 2−− tensor mesons.
Highlights
Analysis of spectroscopy of particles represents promising area provides to check predictions of quantum chromodynamics in perturbative and nonperturbative domains
The light-cone distribution amplitudes (LCDAs) of the light 2−− meson state are relevant ingredients to theoretically predict B decay channels involving the meson in B factories
The observation of the light 2−− meson state is important from the viewpoint of the QCD-based quark model, and can help to clarify the rate deficit and polarization puzzles in B decays involving vector or tensor meson(s) in the final states
Summary
Analysis of spectroscopy of particles represents promising area provides to check predictions of quantum chromodynamics in perturbative and nonperturbative domains. The interpolating current for light unflavored spin 2-mesons first time was constructed in [4], and the results are relevant to the Gegenbauer moments in determination of light-cone distribution amplitudes of these states [5]. (About the current status of experimental and theoretical studies on heavy hadron physics see [23] and references therein.) The mass spectra of the negative parity tensor mesons 2−−, containing light–light, light–. It will be very interesting to observe the light 2−− meson state in the B decay from the theoretically point of view due to the prediction in the QCD-based quark model and to clarification of rate deficit and polarization puzzles [38].
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