Probing Non-leptonic Two-body Decays of $B_c$ meson

Abstract

Rates and CP asymmetries of the non-leptonic two-body decay of $B_c$ are calculated based on the low energy effective Hamiltonian. We concentrate on such $b$ quark decays of the processes with $0^{-}$ and $1^{-}$ S-wave particles and/or $0^{+}$ and $1^{+}$ P-wave particles in the final states. The Salpeter method, which is the relativistic instantaneous approximation of the original Bethe-Salpeter equation, is used to derive hadron transition matrix elements. Based on the calculation, it is found that the best decay channels to observe CP violation are $B_c^{-}\to {\eta }_c+D^{-}(D_0^{\ast -})$, which need about $\sim 10^7$ $B_c$ events in experiment. Decays to ${\eta }_c+D^{\ast -}(D_s^{-}),h_c+D^{-}(D^{\ast -})(D_0^{\ast -}),J/\Psi +D^{\ast -}$ are also hopeful channels.

17 pages, 2 figures, 7 tables

References in corpus (7)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• The $B(B_s)\to D_{(s)}P$, $D_{(s)}V$, $D_{(s)}^{\ast }P$ and $D_{(s)}^{\ast }V$ decays in the perturbative QCD approach
• Decay constants of $P$-wave mesons
• Semileptonic and nonleptonic decays of B_c mesons to orbitally excited heavy mesons in the relativistic quark model
• Study of Bc -> BP,BV Decays with QCD Factorization
• The $B_c$ Decays to $P$-wave Charmonium by Improved Bethe-Salpeter Approach
• Decays of the B_c meson

Cited by in corpus (29)

• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• $B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach
• The mass spectrum and wave functions of the $B_c$ system
• Observation of $B_c^{+}\to D^0{K}^{+}$ decays
• Lepton-number violating four-body decays of heavy mesons
• Probing the $P$-wave charmonium decays of $B_c$ meson
• Observation of $B_c^{+}\to J/\psi D^{(\ast )}{K}^{(\ast )}$ decays
• Semi-leptonic and Non-leptonic $B$ meson decays to charmed mesons
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• The Electromagnetic Decays of $B_c^{\pm }(2S)$
• Study of the excited $1^{-}$ charm and charm-strange mesons
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Branching ratios of $B_c$ Meson Decaying to Vector and Axial-Vector 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 $R(J/\psi )$
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry
• First Estimates of Nonleptonic $B_c\to AT$ Weak Decays
• Semi-leptonic Production of $D_{sJ}(3040)$ and $D_J(3000)$ in $B_s$ and $B$ Decays
• The Study of Rare $B_c\to D_{s,d}^{(\ast )}l\bar{l}$ Decays
• Study of $B_c^{+}$ decays to the $K^{+}{K}^{-}{\pi }^{+}$ final state by using $B_s^0$, ${\chi }_{c0}$ and $D^0$ resonances and weak annihilation nonresonant topologys
• The two-body hadronic decays of $B_c$ meson in the perturbative QCD approach: A short review
• The Production of $X(3940)$ and $X(4160)$ in $B_c$ decays
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• Effect of $K^0-{\bar{K}}^0$ Mixing on CP and CPT Violations in $B_c^{\pm }\to B^{\pm }{K}_{S,L}^0$ Decays
• Rare radiative decays of the $B_c$ meson
• Evaluation of the $B_c^{+}\to D^0{K}^{+}$ decay by the factorization approaches and applying the effects of the final state interaction
• The newly observed state $D_{s0}(2590{)}^{+}$
• Study of $B_c\to J/\psi (a_1(1260)$, $b_1(1235)$, $a_2(1320)$, $K_2^{\ast }(1430))$ decay with a perturbative QCD approach
• The role of leptonic cascades in $B_c\to B_s$ at the LHC