The radiative decays of $0^{++}$ and $1^{+-}$ heavy mesons

Abstract

The radiative decay is believed to be an ideal lab to study hadronic structure of newly observed resonances because the reactions are governed by only the electromagnetic interaction (tree level). However, to obtain correct theoretical values, one has to properly deal with the non-perturbative QCD effects in the wavefunction and hadronization. In this work we derive the formulas for the radiative decays of $0^{++}$ and $1^{-+}$ heavy mesons in the light front quark model (LFQM). Because $\mathcal{B}({\chi }_{c0}\to J/\psi \gamma )$ is well measured, the theoretical evaluation of the transition rate can be used to test our approach. Within this theoretical framework, the width of ${\chi }_{b0}\to {\rm Y}(1S)\gamma$ is evaluated. The formulas can be applied to identify the inner structures of new resonances, for example the isospin of $h_{c(b)}$ and the structure of $D_s(2317)$, via processes $h_c\to {\eta }_c\gamma$, $h_b\to {\eta }_b\gamma$ and $D_s(2317)\to D_s^{\ast }+\gamma$.

10 pages, 1 figure, Accepted by PRD

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Cited by in corpus (16)

• A review of the open charm and open bottom systems
• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Spectrum and electromagnetic transitions of bottomonium
• Spectroscopy and Decay properties of the charmonium
• Is $Z_c(3900)$ a molecular state
• Estimating decay rate of $X^{\pm }(5568)\to B_s{\pi }^{\pm }$ while assuming them to be molecular states
• Strong $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices from QCD light-cone sum rules
• Revisiting radiative decays of $1^{+-}$ heavy quarkonia in the covariant light-front approach
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Study on decays of $Z_c(4020)$ and $Z_c(3900)$ into $h_c+\pi$
• Study on radiative decays of $D_{sJ}^{\ast }(2860)$ and $D_{s1}^{\ast }(2710)$ into $D_s$ by means of LFQM
• Determining the effective Wilson coefficient $a_2$ in terms of $BR(B_s\to {\eta }_c\varphi )$ and evaluating $BR(B_s\to {\eta }_c{f}_0(980))$
• Radiative transitions of charmonium states in a constituent quark model
• Exotic hadrons associated with $b$-quark
• Observation of the radiative decay $D_s(2317{)}^{+}\to D_s^{\ast }\gamma$
• Radiative transitions of charmonium states in the covariant confined quark model