Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to \mathcal{B}{D}^{(\ast )}$

Abstract

The discovery of ${\Xi }_{cc}^{++}$ has inspired new interest in studying doubly heavy baryons. In this study, the weak decays of a doubly charmed baryon ${\mathcal{B}}_{cc}$ to a light baryon $\mathcal{B}$ and a charm meson $D^{(\ast )}$ (either a pseudoscalar or a vector one) are calculated. Following our previous work, we calculate the short distance contributions under the factorization hypothesis, whereas the long distance contributions are modeled as the final state interactions which are calculated with the one particle exchange model. We find that the ${\mathcal{B}}_{cc}\to \mathcal{B}{D}^{\ast }$ decays' branching ratios are obviously larger, as they receive contributions of more polarization states. Among the decays that we investigate, the following have the largest branching fractions: $\mathcal{B}\mathcal{R}({\Xi }_{cc}^{++}\to {\Sigma }^{+}{D}^{\ast +})\in [0.46\%,3.33\%]$ estimated with ${\tau }_{{\Xi }_{cc}^{++}}=256$ fs; $\mathcal{B}\mathcal{R}({\Xi }_{cc}^{+}\to \Lambda D^{\ast +})\in [0.38\%,2.63\%]$ and $\mathcal{B}\mathcal{R}({\Xi }_{cc}^{+}\to {\Sigma }^0{D}^{\ast +})\in [0.45\%,3.16\%]$ with ${\tau }_{{\Xi }_{cc}^{+}}=45$ fs; and $\mathcal{B}\mathcal{R}({\Omega }_{cc}^{+}\to {\Xi }^0{D}^{\ast +})\in [0.27\%,1.03\%]$, $\mathcal{B}\mathcal{R}({\Omega }_{cc}^{+}\to {\Xi }^0{D}^{+})\in [0.07\%,0.44\%]$ and $\mathcal{B}\mathcal{R}({\Omega }_{cc}^{+}\to {\Sigma }^0{D}^{\ast +})\in [0.06\%,0.45\%]$ with ${\tau }_{{\Omega }_{cc}^{+}}=75$ fs. By comparing the decay widths of pure color commensurate channels with those of pure bow-tie ones, we find that the bow-tie mechanism plays an important role in charm decays.

arXiv comment21 pages, 4 figures, 8 tables; Published version

References in corpus (45)

• Phenomenology of Heavy Meson Chiral Lagrangians
• Mixing and Decay Constants of Pseudoscalar Mesons
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Final State Interactions in Hadronic B Decays
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• First observation of the doubly charmed baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\pi }^{+}$
• Discovery Potentials of Doubly Charmed Baryons
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Form Factors and Strong Couplings of Heavy Baryons from QCD Light-Cone Sum Rules
• Measurement of the lifetime of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Anatomy of the pQCD Approach to the Baryonic Decays ${\Lambda }_b\to p\pi ,pK$
• Semileptonic decays of double heavy baryons in a relativistic constituent three-quark model
• Perturbative corrections to $B\to D$ form factors in QCD
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Semileptonic decays of double heavy baryons
• Predictions for nonleptonic Lambda_b and Theta_b decays
• Recent Anomalies in B Physics
• Hadronic Molecular States Composed of Heavy Flavor Baryons
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model
• Final State Interaction In $B\to KK$ Decays
• Weak decays of doubly heavy baryons: the FCNC processes
• Ab initio three-loop calculation of the W-exchange contribution to nonleptonic decays of double charm baryons
• Weak decays of doubly heavy baryons: "decay constants"
• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}V$
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Lifetimes of Doubly Charmed Baryons
• Strong couplings and form factors of charmed mesons in holographic QCD
• Two-body weak decays of doubly charmed baryons
• Significance of Single Pion Exchange Inelastic Final State Interaction for D->VP Processes
• Final State Interactions in $D^0\to K^0\overline{K^0}$
• Vector meson-baryon strong coupling contants in light cone QCD sum rules
• Meson-octet-baryon couplings using light cone QCD sum rules
• Hunting for the X_b via Radiative Decays
• $D\to \pi \pi$ decays with Final State Interactions
• Doubly heavy quark baryon spectroscopy and semileptonic decay
• Novel ideas in nonleptonic decays of double heavy baryons
• The strong ${\Lambda }_{b}NB$ and ${\Lambda }_{c}ND$ vertices
• Renormalization group equation improved analysis of $B\to \pi$ form factors from Light-Cone Sum Rules
• Exclusive $c\to s,d$ semileptonic decays of ground-state spin-1/2 and spin-3/2 doubly heavy $cb$ baryons
• Analysis of the strong coupling form factors of ${\Sigma }_{b}NB$ and ${\Sigma }_{c}ND$ in QCD sum rules

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• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• QCD sum rules analysis of weak decays of doubly heavy baryons: the $b\to c$ processes
• Deciphering Weak Decays of Triply Heavy Baryons by SU(3) Analysis
• The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit