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Two-photon and two-gluon annihilation rates of P-wave scalar charmonium and bottomonium up to third radial excited states are estimated in the relativistic Salpeter method. We solved the full Salpeter equation with a well defined…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guo-Li Wang

Two-photon annihilation rates of $2^+$ tensor charmonium and bottomonium up to third radial excited states are estimated in the relativistic Salpeter method. Full Salpeter equation for $2^+$ tensor state is solved with a well defined…

High Energy Physics - Phenomenology · Physics 2009-12-10 Guo-Li Wang

We estimate the decay rates of $\eta_c\rightarrow 2\gamma$, $\eta_c'\rightarrow 2\gamma$, and $J/\psi\rightarrow e^+ e^-$, $\psi^\prime\rightarrow e^+e^-$, by taking into account both relativistic and QCD radiative corrections. The decay…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kuang-Ta Chao , Han-Wen Huang , Jing-Hua Liu , Jian Tang

The decay rates of $c\bar{c}$ and $b\bar{b}$ through two-photon or two-gluon annihilations are obtained by using totally relativistic decay amplitudes and a sophisticated quantum-chromodynamic potential model for heavy quarkonia. Our…

High Energy Physics - Phenomenology · Physics 2009-10-28 Suraj N. Gupta , James M. Johnson , Wayne W. Repko

The annihilation rates of vector $1^{--}$ charmonium and bottomonium $^3S_1$ states $V \rightarrow e^+e^-$ and $V\rightarrow 3\gamma$, $V \rightarrow \gamma gg$ and $V \rightarrow 3g$ are estimated in the relativistic Salpeter method. We…

High Energy Physics - Phenomenology · Physics 2014-11-21 Hui-feng Fu , Xiang-jun Chen , Guo-Li Wang

We present a calculation of the two-photon and two-gluon widths for the equal mass quarkonium states $^1S_0$, $^3P_0$ and $^3P_2$ of the charmonium and upsilon systems. The approach taken is based on using the full relativistic…

High Energy Physics - Phenomenology · Physics 2011-01-10 James T. Laverty , Stanley F. Radford , Wayne W. Repko

We calculate the annihilation decay rates of the $^3D_2(2^{--})$ and $^3D_3(3^{--})$ charmonia and bottomonia by using the instantaneous Bethe-Salpeter method. The wave functions of states with quantum numbers $J^{PC}=2^{--}$ and $3^{--}$…

High Energy Physics - Phenomenology · Physics 2021-11-05 Tianhong Wang , Hui-Feng Fu , Yue Jiang , Qiang Li , Guo-Li Wang

Here we present the two-photon and two-gluon decay widths of the S-wave ($\eta_{Q\in c,b}$) and P-wave ($\chi_{Q\in c,bJ}$) charmonium and bottonium states and the radiative transition decay widths of $c\bar c$, $b\bar b$ and $c\bar b$…

High Energy Physics - Phenomenology · Physics 2011-02-18 Arpit Parmar , Bhavin Patel , P C Vinodkumar

We calculate the decay rate for $\eta_b \to \gamma \gamma$ in lattice QCD for the first time, providing a precise prediction for the Belle II experiment. Our calculation includes $u$, $d$, $s$ and $c$ quarks in the sea, using gluon field…

High Energy Physics - Lattice · Physics 2025-12-19 Brian Colquhoun , Christine T. H. Davies , G. Peter Lepage

We propose a direct method to calculate the decay width of a hadron decaying to two photons, which is conventionally obtained by an extrapolation for various off-shell form factors. The new method provides an simple way to examine the…

High Energy Physics - Lattice · Physics 2022-09-21 Yu Meng

By neglecting the relative quark momenta in the propagator term, the two-photon and two-gluon decay amplitude of heavy quarkonia states can be written as a local heavy quark field operator matrix element which could be obtained from other…

High Energy Physics - Phenomenology · Physics 2011-02-01 T. N. Pham

With the recent measurements on $\eta_{c}$ and $\eta_{c}^{\prime}$ at CLEO, Babar and Belle, and with the prospect of finding the $\eta_{b}$ at the Tevatron, it seems appropriate to have another look at the two-photon decay of heavy…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. N. Pham

We present a relativistic calculation of two-photon decays for heavy and light mesons in the framework of the Salpeter equation for quark-antiquark states. The meson-photon-photon vertex is computed by reconstructing the Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. R. Munz

In the traditional non-relativistic bound state calculation, the two-photon decay amplitudes of the $P$-wave $\chi_{c0,2}$ and $\chi_{b0,2}$ states depend on the derivative of the wave function at the origin which can only be obtained from…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. P. Lansberg , T. N. Pham

In this paper, a study of two-photon and two-gluon decays in the context of p-wave heavy quarkonia is presented. Within the covariant light-front framework, the annihilation rates of scalar and tensor quarkonium states are derived. In the…

High Energy Physics - Phenomenology · Physics 2015-03-17 Chien-Wen Hwang , Rurng-Sheng Guo

We study $O(\alpha_sv^2)$ corrections to decays of $^1S_0$ heavy quarkonium into light hadrons and two photons within the framework of nonrelativistic QCD, and find these $O(\alpha_sv^2)$ corrections to have significant contributions…

High Energy Physics - Phenomenology · Physics 2011-07-05 Huai-Ke Guo , Yan-Qing Ma , Kuang-Ta Chao

In the heavy quarkonium decay process $ V \to ggg $ ($ V=J/\psi, \Upsilon $), making a definite prediction including relativistic corrections has so far remained a significant challenge. In this work, we study this decay process by taking…

High Energy Physics - Phenomenology · Physics 2026-03-12 Hong-Mei Jiang , Chao-Jie Fan , Jun-Kang He , Cui Kong

Within the framework of nonrelativistic QCD (NRQCD) factorization formalism, we compute the helicity amplitude as well as the decay width of $\eta_{Q2}$ ($Q=c,b$) electromagnetic decay into two photons up to next-to-next-to-leading order…

High Energy Physics - Phenomenology · Physics 2021-03-03 Li Yang , Wen-Long Sang , Hong-Fei Zhang , Yu-Dong Zhang , Ming-Zhen Zhou

We estimate the electromagnetic decay rates of $\chi_{c0}\rightarrow \gamma\gamma$ and $\chi_{c2}\rightarrow\gamma\gamma$ by taking into account both relativistic and QCD radiative corrections. The decay rates are derived in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Han-Wen Huang , Cong-Feng Qiao , Kuang-Ta Chao

QCD running coupling constant $\alpha_s(m_c)$ and $\alpha_s(m_b)$ are determined from heavy quarkonia $c\overline{c}$ and $b\overline{b}$ decays. The decay rates of $V\rightarrow 3g$ and $V\rightarrow e^+ e^-$ for $V=J/\psi$ and $\Upsilon$…

High Energy Physics - Phenomenology · Physics 2011-01-27 K. T. Chao , H. W. Huang , Y. Q. Liu
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