Long-distant contribution and ${\chi }_{c1}$ radiative decays to light vector meson

Abstract

The discrepancy between the PQCD calculation and the CLEO data for ${\chi }_{c1}\to \gamma V$ ($V={\rho }^0,\omega ,\varphi$) stimulates our interest in exploring extra mechanism of ${\chi }_{c1}$ decay. In this work, we apply an important non-perturbative QCD effect, i.e., hadronic loop mechanism, to study ${\chi }_{c1}\to \gamma V$ radiative decay. Our numerical result shows that the theoretical results including the hadronic loop contribution and the PQCD calculation of ${\chi }_{c1}\to \gamma V$ are consistent with the corresponding CLEO data of ${\chi }_{c1}\to \gamma V$. We expect further experimental measurement of ${\chi }_{c1}\to \gamma V$ at BES-III, which will be helpful to test the hadronic loop effect on ${\chi }_{c1}$ decay.

7 pages, 2 figures. Accepted for publication in Eur. Phys. J. C

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• Radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}^{\ast }(2317)$
• Analysis of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)$ molecular state
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• Anomalous radiative transitions between $h_b(nP)$ and ${\eta }_b(mS)$ and hadronic loop effect
• Understanding the ${\eta }_c\rho$ decay mode of $Z_c^{(\prime )}$ via the triangle loop mechanism
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• Detecting the polarization in ${\chi }_{cJ}\to \varphi \varphi$ decays to probe hadronic loop effect
• Radiative decays of the charmed mesons in a modified relativistic quark model
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• $D$ wave bottomonia production from $Z_b^{(\prime )}$ decay
• $B_{s1}(5778)$ as a $B^{\ast }\bar{K}$ molecule in the Bethe-Salpeter equation approach
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Novel insights into the $\gamma {\gamma }^{\ast }\to {\pi }^0$ transition form factor
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter