Radiative E1 decays of X(3872)

Abstract

Radiative E1 decay widths of $\mathrm{X}(3872)$ are calculated through the relativistic Salpeter method, with the assumption that $\mathrm{X}(3872)$ is the ${\chi }_{c1}$(2P) state, which is the radial excited state of ${\chi }_{c1}$(1P). We firstly calculated the E1 decay width of ${\chi }_{c1}$(1P), the result is in agreement with experimental data excellently, then we calculated the case of $\mathrm{X}(3872)$ with the assignment that it is ${\chi }_{c1}$(2P). Results are: $Γ({\rm X(3872)}\rightarrow γ\sl J/ψ)=33.0$ keV, $\Gamma (\mathrm{X}(3872)\to \gamma \psi (2S))=146$ keV and $\Gamma (\mathrm{X}(3872)\to \gamma \psi (3770))=7.09$ keV. The ratio ${{\rm Br(X(3872)}\rightarrowγψ(2{\rm S}))}/{{\rm Br(X(3872)}\rightarrow γ{\sl J}/ψ)}=4.4$ agrees with experimental data by BaBar, but larger than the new up-bound reported by Belle recently. With the same method, we also predict the decay widths: $\Gamma ({\chi }_{b1}(1\mathrm{P}))\to \gamma \mathrm{{\rm Y}}(1\mathrm{S}))=30.0$ keV, $\Gamma ({\chi }_{b1}(2\mathrm{P}))\to \gamma \mathrm{{\rm Y}}(1\mathrm{S}))=5.65$ keV and $\Gamma ({\chi }_{b1}(2\mathrm{P}))\to \gamma \mathrm{{\rm Y}}(2S))=15.8$ keV, and the full widths: $\Gamma ({\chi }_{b1}(1\mathrm{P}))\sim 85.7$ keV, $\Gamma ({\chi }_{b1}(2\mathrm{P}))\sim 66.5$ keV.

9 pages, 4 figures, 2 tables, version to be published in Phys. Lett. B

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• Exotics: Heavy Pentaquarks and Tetraquarks
• From the trees to the forest: a review of radiative neutrino mass models
• Evidence for the decay $X(3872)\to \psi (2S)\gamma$
• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Quark structure of the $X(3872)$ and ${\chi }_b(3P)$ resonances
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Quarkonium Contribution to Meson Molecules
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• Study of open-charm decays and radiative transitions of the X(3872)
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• What do the radiative decays of X(3872) tell us
• $X(3872)$, $X_b$, and the ${\chi }_{b1}(3P)$ state
• Unquenched quark-model calculation of X(3872) electromagnetic decays
• EM Decay of X(3872) as the $1{}^1{D}_2(2^{-+})$ charmonium
• Dimesonic states with the heavy-light flavour mesons
• $X(3872)$ as virtual companion pole of the charm-anticharm state ${\chi }_{c1}(2P)$
• X(3872) and Its Heavy Quark Spin Symmetry Partners in QCD Sum Rules
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• Two-Body Strong Decay of the 2P and 3P Charmonium states
• The Strong Decays of X(3940) and X(4160)
• X(3872) as a molecular $D{\bar{D}}^{\ast }$ state in the Bethe-Salpeter equation approach
• The electromagnetic decays of $X(3823)$ as the ${\psi }_2(1^3{D}_2)$ state and its radial excited states
• Radiative decay of the $X(3872)$ as a mixed molecule-charmonium state in effective field theory
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Study of the dilepton electromagnetic decays of ${\chi }_{cJ}(1P)$
• Why X(3915) is so narrow as a ${\chi }_{c0}(2P)$ state
• Study of $e^{+}{e}^{-}\to \omega X(3872)$ and $\gamma X(3872)$ from 4.66 to 4.95 GeV
• Radiative transitions of charmonium states in a constituent quark model
• New reaction approach to reflect exotic structure of hadronic molecular state
• Radiative decay widths of ground and excited states of vector charmonium and bottomonium
• Decay properties of $D_{s0}^{\ast }(2317{)}^{+}$ as a conventional $c\bar{s}$ meson
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$
• Radiative transitions of charmonium states in the covariant confined quark model