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Purely Baryonic Weak Decays of Heavy Baryons in Skyrme Model

Chao-Qiang Geng, Chao Han

Abstract

Purely baryonic weak decays of heavy baryons are investigated within the framework of the Skyrme model. These decays belong to a new class of unobserved decay channels, which would help us to test the standard model, particularly potential sources of CP violation in the baryonic sector. By interpreting the heavy baryon as a bound state of a heavy meson and a baryon (Skyrmion), a direct calculation of the decay process $Λ_b \to p\,\bar p\,n$ is performed. The resulting branching fraction is of $\mathcal{O}(10^{-6})$, in agreement with previous estimates.

Purely Baryonic Weak Decays of Heavy Baryons in Skyrme Model

Abstract

Purely baryonic weak decays of heavy baryons are investigated within the framework of the Skyrme model. These decays belong to a new class of unobserved decay channels, which would help us to test the standard model, particularly potential sources of CP violation in the baryonic sector. By interpreting the heavy baryon as a bound state of a heavy meson and a baryon (Skyrmion), a direct calculation of the decay process is performed. The resulting branching fraction is of , in agreement with previous estimates.
Paper Structure (13 sections, 33 equations, 3 figures)

This paper contains 13 sections, 33 equations, 3 figures.

Table of Contents

  1. introduction
  2. Skyrme model
  3. Pion
  4. Baryons as Solitons in the Skyrme Model
  5. Hedgehog Ansatz and Soliton Equation
  6. Collective Quantization of the Soliton
  7. Electroweak Form Factors in the Skyrme Model
  8. time-like form factor
  9. Heavy Meson
  10. Heavy Baryons as Bound States in the Skyrme Model
  11. Weak Decays
  12. Numerical Results
  13. conclusion

Figures (3)

  • Figure 1: Schematic diagrams for the tree-level contributions to the purely baryonic weak decay of $\Lambda_b\to p\bar{p}n$ within the Skyrme model framework.
  • Figure 2: Real and imaginary parts of the $G_A$ and $G_P$ in the timelike region as functions of the momentum transfer squared $q^2$.
  • Figure 3: Differential decay rate as a function of the momentum transfer squared $q^2$.