Abstract

Motivated by the recent LHCb observation of doubly charmed baryon Xi _{cc}^{++} in the Lambda _c^+ K^-pi ^+pi ^+ final state, we analyze the weak decays of doubly heavy baryons Xi _{cc}, Omega _{cc}, Xi _{bc}, Omega _{bc}, Xi _{bb} and Omega _{bb} under the flavor SU(3) symmetry. The decay amplitudes for various semileptonic and nonleptonic decays are parametrized in terms of a few SU(3) irreducible amplitudes. We find a number of relations or sum rules between decay widths and CP asymmetries, which can be examined in future measurements at experimental facilities like LHC, Belle II and CEPC. Moreover, once a few decay branching fractions have been measured in the future, some of these relations may provide hints for exploration of new decay modes.

Highlights

  • The existence of doubly heavy baryons is predicted in the quark model, but the experimental search for doubly heavy baryons has been a while [1–6]

  • M ++ = (3621.40 ± 0.72 ± 0.27 ± 0.14) MeV. This observation will make a great impact on the hadron spectroscopy and it will trigger more interests in this research field [8,9]

  • Theoretical studies on weak decays of doubly heavy baryons will be of great importance and are strongly required [10–21]

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Summary

Introduction

The existence of doubly heavy baryons is predicted in the quark model, but the experimental search for doubly heavy baryons has been a while [1–6]. This observation will make a great impact on the hadron spectroscopy and it will trigger more interests in this research field [8,9] After this observation, we anticipate more experimental investigations of decays of doubly heavy baryons. The flavor SU(3) symmetry is an useful tool [37–71]. In this paper we will use the flavor SU(3) symmetry and analyze various decays of doubly heavy baryons. These baryons can form an SU(3) triplet which are expressed as:. The above two SU(3) triplets are applicable to the bottom mesons

Semi-leptonic decays
Semileptonic bb and bb decays
Semileptonic bc and bc decays
Nonleptonic cc and cc decays
Decays into a charmed baryon and a light meson
Decays into a light octet baryon and a charmed meson
Decays into a light decuplet baryon and a charmed meson
Nonleptonic bb and bb decays
Decays into a doubly heavy baryon bcq plus a anticharmed meson
Decays into a doubly heavy baryon bcq plus a light meson
Decays into a bottom baryon and a light meson
Decays into a bottom meson and a light baryon octet
Decays into a bottom meson and a light baryon decuplet
U-spin for bb and bb decays
Nonleptonic bc and bc decays
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