Abstract

The transition form factors for doubly heavy baryons into a spin-1/2 or spin-3/2 ground-state baryon induced by both the charged current and the flavor changing neutral current are systematically studied within the light-front quark model. In the transition the two spectator quarks have two spin configurations and both are considered in this calculation. We use an updated vertex functions, and inspired by the flavor SU(3) symmetry, we also provide a new approach to derive the flavor-spin factors. With the obtained transition form factors, we perform a phenomenological study of the corresponding semi-leptonic decays of doubly heavy baryons induced by the crightarrow d/s ell ^+nu , brightarrow c/uell ^-bar{nu } and brightarrow d/sell ^+ell ^-. Results for partial decay widths, branching ratios and the polarization ratios Gamma _{L}/Gamma _{T}s are given. We find that most branching ratios for the semi-leptonic decays induced by the crightarrow d,s transitions are at the order of 10^{-3}sim 10^{-2}, which might be useful for the search of other doubly-heavy baryons. Uncertainties in form factors, the flavor SU(3) symmetry and sources of symmetry breaking effects are discussed. We find that the SU(3) symmetry breaking effects could be sizable in charmed baryon decays while in the bottomed case, the SU(3) symmetry breaking effects are less significant. Our results can be examined at the experimental facilities in the future.

Highlights

  • Most predictions of the quark model have already been experimentally confirmed, but the quest for doubly heavy baryons, a e-mail: huxiaohui@sjtu.edu.cn b e-mail: lirh@imu.edu.cn c e-mail: zpxing@sjtu.edu.cn baryonic states made of two heavy charm/bottom quarks, has been conducted for a long time

  • We investigate the transitions induced by charged current as well as the ones induced by flavor changing neutral current (FCNC)

  • We have presented a systematic investigation of transition form factors of doubly heavy baryon decays in the light front approach

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Summary

Introduction

With the decay mode suggested in Ref. [2]. This discovery is subsequently confirmed in 2018 in the. The decays of a doubly heavy baryon to a singly heavy baryon transition are studied intensively [2,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29]. Following a recent work [55] we revise the vertex function concerned with the spin-1 diquark system in this paper, and we update the form factors of a doubly heavy baryon to a singly heavy baryon transitions under the LFQM. The appendix contains some brief description of the flavor-spin wave functions, and helicity amplitudes

Theoretical framework
Light-front quark model
Flavor-spin wave functions
Numerical results of form factors
Semi-leptonic weak decays
Decay widths
The FCNC transition
Results for semi-leptonic decays
Conclusion
Wave functions in the standard flavor-spin basis
Findings
Wave functions in the diquark basis
Full Text
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