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The heavy flavor conserving hadronic weak decay of the ground-state bottom baryons

Peng-Yu Niu, Qian Wang, Qiang Zhao

Abstract

In this work the heavy flavor conserving (HFC) hadronic weak decays of bottom baryons are studied in the framework of the nonrelativistic constituent quark model (NRCQM). We show that the pole terms play an indispensable role in the description of the branching ratio of $Ξ_b^-\to Λ_b^0 π^-$. With the pole terms included we can make reliable predictions for $Ξ_b^0\to Λ_b^0 π^0$. A combined study of the HFC hadronic weak decays allows us to make a reasonable prediction for $Ω_b^-\toΞ_b^{-(0)}π^{0(-)}$, which can be searched for at LHCb and Belle-II experiments.

The heavy flavor conserving hadronic weak decay of the ground-state bottom baryons

Abstract

In this work the heavy flavor conserving (HFC) hadronic weak decays of bottom baryons are studied in the framework of the nonrelativistic constituent quark model (NRCQM). We show that the pole terms play an indispensable role in the description of the branching ratio of . With the pole terms included we can make reliable predictions for . A combined study of the HFC hadronic weak decays allows us to make a reasonable prediction for , which can be searched for at LHCb and Belle-II experiments.

Paper Structure

This paper contains 13 sections, 25 equations, 5 figures, 4 tables.

Table of Contents

  1. Introduction
  2. Framework
  3. The wave function of hadrons
  4. The transition operators
  5. The non-relativistic form of the weak interaction
  6. The non-relativistic form of the quark-meson interaction
  7. Numerical Results and discussion
  8. Parameters
  9. The numerical results and discussion
  10. The asymmetry parameter
  11. $\Xi_b \to \Lambda_b^0\pi$
  12. $\Omega_b \to \Xi_b \pi$
  13. Summary and Outlook

Figures (5)

  • Figure 1: The transition diagrams of the $\Xi_b^{-} \to \Lambda_b^0~ \pi^-$. (a) DPE process; (b) CS process; (c) pole term.
  • Figure 2: The transition diagrams of the $\Xi_b^{0}\to \Lambda_b^0 \pi^0$. (a) CS process; (b)-(d) pole terms.
  • Figure 3: The transition diagrams of the $\Omega_b^-\to \Xi_b^0~ \pi^-$. Only DPE process is allowed.
  • Figure 4: The transition diagram of the $\Omega_b^-\to \Xi_b^- ~ \pi^0$. Only CS process is allowed.
  • Figure 5: The distribution of $\delta$ and $K$ constrained by the strong decay channel $\Sigma_b^+ \to \Lambda_b^0 \pi^+$ and hadronic weak decay channel $\Xi_b^- \to \Lambda_b^0 \pi^-$. The total number of the samples is about 54300.