Semileptonic Decays of $B_c$ Meson to a P-Wave Charmonium State ${\chi }_c$ or $h_c$

Abstract

The semileptonic decays of meson $B_c$ to a P-wave charmonium state ${\chi }_c{(}^3{P}_J)$ or $h_c{(}^1{P}_1)$ are computed. The results show that the decays are sizable so they are accessible in Tevatron and in LHC, especially, with the detectors LHCB and BTeV in the foreseeable future, and of them, the one to the ${}^1{P}_1$ charmonium state potentially offers us a novel window to see the unconfirmed $h_c$ particle. In addition, it is pointed out that since the two charmonium radiative decays ${\chi }_c{(}^3{P}_{1,2})\to J/\psi +\gamma$ have sizable branching ratios, the cascade decays of the concerned decays and the charmonium radiative decays may affect the result of the observing the $B_c$ meson through the semileptonic decays $B_c\to J/\psi +l+{\nu }_l$ substantially.

8 pages, 2 figures

Cited by in corpus (12)

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• Hadronic production of the $P$-wave excited $B_c$-states ($B_{cJ,L=1}^{\ast }$)
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
• Relativistic corrections to the form factors of $B_c$ into $P$-wave orbitally excited charmonium
• Probing the $P$-wave charmonium decays of $B_c$ meson
• The meson $B_c$ annihilation to leptons and inclusive light hadrons
• Static and dynamic properties of hadronic systems with heavy quarks b and c
• Study of $B_c^{+}\to {\chi }_c{\pi }^{+}$ decays