Rescattering mechanism of weak decays of double-charm baryons

Abstract

The doubly charmed baryon ${\Xi }_{cc}^{++}$ was recently observed by LHCb via the decay processes of ${\Xi }_{cc}^{++}\to {\Lambda }_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ and ${\Xi }_c^{+}{\pi }^{+}$. These discovery channels were successfully predicted in the framework that the short-distance contributions are calculated under the factorization hypothesis and the long-distance contributions are estimated using the rescattering mechanism for the final-state-interaction effects. In this paper, we illustrate the above framework in details by systematic studies on the two-body baryonic decays ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}P$ involving the doubly charmed baryons ${\mathcal{B}}_{cc}=({\Xi }_{cc}^{++},{\Xi }_{cc}^{+},{\Omega }_{cc}^{+})$, the singly charmed baryons ${\mathcal{B}}_c=({\mathcal{B}}_{\bar{3}},{\mathcal{B}}_6)$ and the light pseudoscalar mesons $P=(\pi ,K,{\eta }_{1,8})$.

arXiv comment31 pages, 4 figures, 9 tables. Version published in Chinese Physics C

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Cited by in corpus (24)

• Charmed Baryon Physics Circa 2021
• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• Observation of the doubly charmed baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{{}^{\prime }+}{\pi }^{+}$
• Final-state rescattering mechanism of charmed baryon decays
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Deciphering Weak Decays of Triply Heavy Baryons by SU(3) Analysis
• From topological amplitude to rescattering dynamics
• Generation of $SU(3)$ sum rule for charmed baryon decay
• Evidence of $A_{CP}(D^0\to {\pi }^{+}{\pi }^{-})$ implies observable $CP$ violation in the $D^0\to {\pi }^0{\pi }^0$ decay
• Strong decays of the low-lying doubly bottom baryons
• Doubly charmed baryon decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ in the quark model
• Generation of isospin sum rules in heavy hadron weak decays
• Isospin sum rules in charmed baryon weak decays
• From topological amplitude to rescattering dynamics in doubly charmed baryon decays
• A phenomenological estimate of rescattering effects in $B_s\to K^{\ast 0}{\bar{K}}^{\ast 0}$
• Analysis of the strong vertices ${\Lambda }_c{D}^{(\ast )}{N}^{\ast }(1535)$ and ${\Lambda }_b{B}^{(\ast )}{N}^{\ast }(1535)$ in QCD sum rules
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit