Rare radiative decays of the B c meson

Zhang

J. Phys. G: Nucl. Part. Phys.

et al. 2016

Considering X(3940) and X(4160) as h S 3 c ( ) and h S 4 c ( ), we study the production of X(3940) and X(4160) in exclusive weak decays of the B c meson by the improved Bethe-Salpeter (BS) method. Using the relativistic BS equation and the Mandelstam formalism, we calculate the corresponding decay form factors. The predictions of the corresponding branching ratios are:) . This will provide a new way to observe X(3940) and X (4160) in the future, as well as to improve the knowledge of B c meson decay.

Section: Pcmentioning

confidence: 99%

The production ofX(3940) andX(4160) inB_cdecays

Zhang

J. Phys. G: Nucl. Part. Phys.

et al. 2016

“…The properties of B c meson have been studied by different relativistic constituent quark models [24][25][26][27][28][29][30][31][32], such as the covariant light-front quark model [33,34], the perturbative QCD factorization approach [35] and so on. We also have discussed the properties of B c meson by the improved B-S method, include B c decays to P-wave mesons, the rare weak decays and rare radiative decays of B c , the nonleptonic charmless decays of B c , and so on [36][37][38][39][40][41][42]. In previous work, we only studied B c decays to χ c2 (1P) state [36], because when the final states are χ c2 (2P) and χ c2 (3P) states, the corresponding branching ratios are very small, and there were only limited data of B c available.…”

Section: Introductionmentioning

confidence: 99%

The weak decay $$B_c$$ to Z(3930) and X(4160) by Bethe–Salpeter method

et al. 2020

Self Cite

Considering Z(3930) and X(4160) as $$\chi _{c2}(2P)$$χc2(2P) and $$\chi _{c2}(3P)$$χc2(3P) states, the semileptonic and nonleptonic of $$B_c$$Bc decays to Z(3930) and X(4160) are studied by the improved Bethe–Salpeter (B–S) Method. The form factors of decay are calculated through the overlap integrals of the meson wave functions in the whole accessible kinematical range. The influence of relativistic corrections are considered in the exclusive decays. Branching ratios of $$B_c$$Bc weak decays to Z(3930) and X(4160) are predicted. Some of the branching ratios are: $$Br(B_c^+\rightarrow Z(3930)e^+\nu _e)=(3.03^{+0.09}_{-0.16})\times 10^{-4}$$Br(Bc+→Z(3930)e+νe)=(3.03-0.16+0.09)×10-4 and $$Br(B_c^+\rightarrow X(4160)e^+\nu _e)=(3.55^{+0.83}_{-0.35})\times 10^{-6}$$Br(Bc+→X(4160)e+νe)=(3.55-0.35+0.83)×10-6. These results may provide useful information to discover Z(3930) and X(4160) and the necessary information for the phenomenological study of $$B_c$$Bc physics.

“…When we take the limit Q = 0, the transition form factors of this two electromagnetic decays should share the same value, which are constrained by the Ward identity. In our previous researches, the radiative decay channels have been well calculated for multiple charm mesons, like χ c1 , X(3872) [9], B c [10], etc. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Study of the dilepton electromagnetic decays of $$\chi _{cJ}(1P)$$

et al. 2019

Self Cite

In this paper, the dilepton electromagnetic decays χ cJ (1P ) → J/ψe + e − and χ cJ (1P ) →c1 and χ c2 , are calculated systematically in the improved Bethe-Salpeter method. The numerical results of decay widths and the invariant mass distributions of the final lepton pairs are given. The comparison is made with the recently measured experimental data of BESIII. It is shown that for the cases including e + e − , the gauge invariance is decisive and should be considered carefully. For the processes of χ cJ (1P ) → J/ψe + e − , the branching fraction are: B[χ c0 (1P ) → J/ψe + e − ] = 1.06 +0.16 −0.18 × 10 −4 , B[χ c1 (1P ) → J/ψe + e − ] = 2.88 +0.50 −0.53 × 10 −3 , and B[χ c2 (1P ) → J/ψe + e − ] = 1.74 +0.22 −0.21 × 10 −3 . The calculated branching fractions of χ cJ (1P ) → J/ψµ + µ − channels are: B[χ c0 (1P ) → J/ψµ + µ − ] = 3.80 +0.59 −0.64 × 10 −6 , B[χ c1 (1P ) → J/ψµ + µ − ] = 2.04 +0.36 −0.38 × 10 −4 , and B[χ c2 (1P ) → J/ψµ + µ − ] = 1.66 +0.19 −0.19 × 10 −4 .