EM Decay of X(3872) as the $1{}^1{D}_2(2^{-+})$ charmonium

Abstract

The recently BaBar results raise the possibility that X(3872) has negative parity. This makes people reconsider assigning X(3872) to the $1{}^1{D}_2(c\bar{c})$ state. In this paper we give a general form of the wave function of $2^{-+}$ mesons. By solving the instantaneous Bethe-Salpeter equation, we get the mass spectrum and corresponding wave functions. We calculate electromagnetic decay widths of the first $2^{-+}$ state which we assume to be the X(3872) particle. The results are $\Gamma (2^{-+}(3872)\to J/\psi \gamma )=1.59_{-0.42}^{+0.53}$ keV, $\Gamma (2^{-+}(3872)\to \psi (2S)\gamma )=2.87_{-0.97}^{+1.46}$ eV and $\Gamma (2^{-+}(3872)\to \psi (3770)\gamma )=0.135_{-0.047}^{+0.066}$ keV. The ratio of branch fractions of the second and first channel is about 0.002, which is inconsistent with the experimental value $3.4\pm 1.4$. So X(3872) is unlikely to be a $2^{-+}$ charmonium state. In addition, we obtain a relatively large decay width for $2^{-+}(3872)\to h_c\gamma$ channel which is $392_{-111}^{+62}$ keV.

Revised version

References in corpus (14)

• Higher Charmonia and X,Y,Z states with Screened Potential
• X(3872) and Other Possible Heavy Molecular States
• Evidence for the decay X(3872) --> J/psi omega
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)
• Decay constants of $P$-wave mesons
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• Radiative Decays X(3872) -> psi(2S)+gamma and psi(4040) -> X(3872)+gamma in Effective Field Theory
• Radiative E1 decays of X(3872)
• The 2^-+ assignment for the X(3872)
• X(3872) as a 1D2 charmonium state
• What do the radiative decays of X(3872) tell us
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Rethinking the X(3872)

Cited by in corpus (13)

• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Unquenched quark-model calculation of X(3872) electromagnetic decays
• Decays of $B$, $B_s$ and $B_c$ to $D$-wave heavy-light mesons
• Two-Body Strong Decay of the 2P and 3P Charmonium states
• Annihilation rate of $2^{-+}$ charmonium and bottomonium
• The Strong Decays of X(3940) and X(4160)
• $D$-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
• Mixing angle and decay constants of $J^P=1^{+}$ heavy-light mesons
• Study of the excited $1^{-}$ charm and charm-strange mesons
• The weak $B$, $B_s$ and $B_c$ decays to radially excited states
• Relativistic calculations of $R(D^{(\ast )})$, $R(D_s^{(\ast )})$, $R({\eta }_c)$ and $R(J/\psi )$
• Decay properties of $D_{s0}^{\ast }(2317{)}^{+}$ as a conventional $c\bar{s}$ meson