Nonleptonic two-body weak decays of ${\Lambda }_b$ in modified MIT bag model

Abstract

We study the nonleptonic two-body weak decays of ${\Lambda }_b$ by modifying the MIT bag model without introducing new parameters to construct the momentum eigenstates of the baryons. We find that the branching ratios of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\pi }^{-}$, ${\Lambda }_c^{+}{K}^{-}$, $p{\pi }^{-}$ and $p{K}^{-}$ are $(4.5\pm 0.2)\times 10^{-3}$, $(3.4\pm 0.1)\times 10^{-4}$, $(5.0\pm 0.5)\times 10^{-6}$ and $(6.0\pm 0.7)\times 10^{-6}$, which are all well consistent with the current experimental data, respectively. We also explore P and CP asymmetries for the decays of ${\Lambda }_b^0\to p({\pi }^{-},K^{-})$. In particular, we obtain that the direct CP-violating rate asymmetries in ${\Lambda }_b^0\to p{\pi }^{-}$ and ${\Lambda }_b^0\to p{K}^{-}$ are around $-4.4\%$ and $6.7\%$, in comparison with $(-2.5\pm 2.9)\%$ and $(-2.5\pm 2.2)\%$ from the Particle Data Group in 2020, respectively.

arXiv comment16 pages, no figure, revised version accepted by PRD

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• Measurement of $CP$ asymmetries in ${\Lambda }_b^0\to p{h}^{-}$ decays
• Nonleptonic decays of ${\Xi }_{cc}\to {\Xi }_c\pi$ with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• Investigating the transition form factors of ${\Lambda }_b\to {\Lambda }_c(2625)$ and ${\Xi }_b\to {\Xi }_c(2815)$ and the corresponding weak decays with support from baryon spectroscopy
• Sizable Time-reversal violating effects in bottom baryon decays
• Final-state rescattering mechanism in bottom-baryon decays
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• Study of charmless two-body baryonic $B$ decays
• Searching $B_c^{\ast }$ via conservation laws
• The study of weak decays induced by ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{-}$ transition in light-cone sum rules
• Center of mass motion in bag model
• Bottomed baryon decays with invisible Majorana fermions
• Analysis of the semileptonic decays of ${\Xi }_{cc}$ and ${\Omega }_{cc}$ baryons in QCD sum rules
• Semileptonic decays of doubly charmed baryons with bag model
• Isospin violating decays of vector charmonia
• Prospects for compact hexaquarks under the limitation imposed by quark confinement