Annihilation Rate of $2^{++}$ Charmonium and Bottomonium

Abstract

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 relativistic wave function and we calculated the annihilation amplitude using the Mandelstam formalism. Our estimates of the decay widths are: $\Gamma ({\chi }_{c2}\to 2\gamma )=501$ eV, $\Gamma ({\chi }_{c2}^{\prime }\to 2\gamma )=534$ eV, $\Gamma ({\chi }_{b2}\to 2\gamma )=7.4$ eV and $\Gamma ({\chi }_{b2}^{\prime }\to 2\gamma )=7.7$ eV. We also give total decay widths of the lowest states estimated by the two-gluon decay rates, and the results are: ${\Gamma }_{tot}({\chi }_{c2})=2.64$ MeV, ${\Gamma }_{tot}({\chi }_{b2})=0.220$ MeV and ${\Gamma }_{tot}({\chi }_{b2}^{\prime })=0.248$ MeV.

9 pages,1 figure, 3 tables

References in corpus (12)

• Evidence for the decay X(3872) --> J/psi omega
• Evidence for the decay $X(3872)\to \psi (2S)\gamma$
• Dynamic Properties of Charmonium
• Decay constants of $P$-wave mesons
• The 2^-+ assignment for the X(3872)
• X(3872) as a 1D2 charmonium state
• Predictions of Light Hadronic Decays of Heavy Quarkonium 1D_2 States in NRQCD
• What do the radiative decays of X(3872) tell us
• Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic Salpeter Method
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Is the $J^P=2^{-}$ assignment for the $X(3872)$ compatible with the radiative transition data?
• Results on Charmonium(-like) and Bottomonium(-like) States from Belle and BaBar

Cited by in corpus (32)

• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• Mass spectra and wave functions of $T_{QQ\bar{Q}\bar{Q}}$ tetraquarks
• The $B_c$ Decays to $P$-wave Charmonium by Improved Bethe-Salpeter Approach
• Are there any challenges in the charmonia production and polarization at the LHC?
• Production of ${\chi }_b$-mesons at LHC
• Two-photon and two-gluon decays of p-wave heavy quarkonium using a covariant light-front approach
• Production of ${\chi }_c$- and ${\chi }_b$-mesons in high energy hadronic collisions
• The mass spectrum and wave functions of the $B_c$ system
• Two-Body Strong Decay of Z(3930) as the ${\chi }_{c2}(2P)$ State
• Prompt charmonia production and polarization at LHC in the NRQCD with kt-factorization. Part II: ${\chi }_c$ mesons
• Decays of $B$, $B_s$ and $B_c$ to $D$-wave heavy-light mesons
• The Strong Decays of Orbitally Excited $B_{sJ}^{\ast }$ Mesons by Improved Bethe-Salpeter Method
• Production of ${\eta }_Q$ meson at LHC
• Annihilation rate of $2^{-+}$ charmonium and bottomonium
• $D$-Wave Charmonia ${\eta }_{c2}$($1{}^1{D}_2$), ${\psi }_2$($1{}^3{D}_2$), and ${\psi }_3$($1{}^3{D}_3$) in $B_c$ Decays
• Study of the excited $1^{-}$ charm and charm-strange mesons
• Annihilation Rates of Heavy $1^{--}$ S-wave Quarkonia in Salpeter Method
• Mixing angle and decay constants of $J^P=1^{+}$ heavy-light mesons
• Average speed and its powers $v^n$ of a heavy quark in quarkonia
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• The electromagnetic decays of $X(3823)$ as the ${\psi }_2(1^3{D}_2)$ state and its radial excited states
• Strong decays of $D_J(3000)$ and $D_{sJ}(3040)$
• Strong decays of $2^{+}$ charm and charm-strange mesons
• The study of light invisible particles in $B_c$ decays
• Partial wave effects in the heavy quarkonium radiative electromagnetic decays
• Strong Decays of the Orbitally Excited Scalar $D_0^{\ast }$ Mesons
• Hadronic Production of $ch{i}_c$-mesons at LHC
• Why X(3915) is so narrow as a ${\chi }_{c0}(2P)$ state
• Study of the dilepton electromagnetic decays of ${\chi }_{cJ}(1P)$
• The partial waves of $B_2^{\ast }(5747)$ and their contributions in strong decays
• Strong decays of excited $2^{+}$ charmed mesons
• Rare radiative decays of the $B_c$ meson