Semileptonic decays of doubly charmed baryons with bag model

Abstract

We study the semileptonic decays of $B_{cc}$ $\to$ $B_c{\ell }^{+}{\nu }_{\ell }$ with the bag model, where $\ell$ = $(e,\mu )$, $B_{cc}$ = $({\Xi }_{cc}^{++}$, ${\Xi }_{cc}^{+}$, ${\Omega }_{cc}^{+}$), and $B_c$ are the singly charmed baryons with $J^P=1/2^{+}$. We obtain the decay widths of $\Gamma ({\Xi }_{cc}^{++}\to {\Xi }_c^{+}{e}^{+}{\nu }_e,{\Xi }_c^{\prime +}{e}^{+}{\nu }_e,{\Lambda }_c^{+}{e}^{+}{\nu }_e,{\Omega }_c^{+}{e}^{+}{\nu }_e)=(5.1\pm 0.1,11\pm 1,0.34\pm 0.06,0.76\pm 0.06)\times 10^{-14}$~GeV, $\Gamma ({\Xi }_{cc}^{+}\to {\Xi }_c^0{e}^{+}{\nu }_e,{\Xi }_c^{\prime 0}{e}^{+}{\nu }_e,{\Sigma }_c^0{e}^{+}{\nu }_e)=(5.1\pm 0.6,11\pm 1,1.5\pm 0.1)\times 10^{-14}$~GeV, and $\Gamma ({\Omega }_{cc}^{+}\to {\Omega }_c^0{e}^{+}{\nu }_e,{\Xi }_c^0{e}^{+}{\nu }_e,{\Xi }_c^{\prime 0}{e}^{+}{\nu }_e)=(22\pm 2,0.32\pm 0.04,0.77\pm 0.06)\times 10^{-14}$~GeV. We also get that $\Gamma$($B_{cc}$ $\to$ $B_c{\mu }^{+}{\nu }_{\mu }$)/$\Gamma$($B_{cc}$ $\to$ $B_c{e}^{+}{\nu }_e$) = $0.97\sim 1.00$. In addition, we discuss the $SU(3)$ flavor breaking effects, classified into three aspects: phase space differences, spectator quarks, and overlappings of the transited quarks. In particular, we show that the breaking effects are dominated by the phase space differences, which can be as large as 25\%. Explicitly, we find that $\Gamma ({\Xi }_{cc}^{++}\to {\Lambda }_c^{+}{e}^{+}{\nu }_e)V_{cs}^2/\Gamma ({\Xi }_{cc}^{++}\to {\Xi }_c^{+}{e}^{+}{\nu }_e)V_{cd}^2=1.24$, which is expected as $1$ under the exact $SU(3)$ flavor symmetry.

arXiv comment16 pages, 5 figures

References in corpus (49)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Heavy baryons
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• 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: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Measurement of the lifetime of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC
• Search for doubly charmed baryons and study of charmed strange baryons at Belle
• Strong and radiative decays of the doubly charmed baryons
• Helicity Analysis of Semileptonic Hyperon Decays Including Lepton Mass Effects
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks
• Semileptonic decays of anti-triplet charmed baryons
• Doubly heavy baryons at LHC
• Weak decays of doubly heavy baryons: the FCNC processes
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• 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: ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}V$
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
• Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory
• A comprehensive analysis of weak transition form factors for doubly heavy baryons in the light front approach
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Chiral partner structure of doubly heavy baryons with heavy quark spin-flavor symmetry
• Magnetic moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• Weak Decays of Stable Doubly Heavy Tetraquark States
• Magnetic moments of doubly heavy baryons in light-cone QCD
• Weak Decays of Doubly Heavy Baryons: W-Exchange
• Strong decays of the 1P and 2D doubly charmed states
• Doubly charmed ${\Xi }_{cc}$ molecular states from meson-baryon interaction
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }}\to {\Sigma }_{Q^{\prime }}$ Weak Decays
• Nonleptonic two-body weak decays of ${\Lambda }_b$ in modified MIT bag model
• Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry
• Exclusive $c\to s,d$ semileptonic decays of ground-state spin-1/2 doubly charmed baryons
• Anatomy of ${\Lambda }_c^{+}$ semileptonic decays
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry
• Time-reversal asymmetries in ${\Lambda }_b$ semileptonic decays
• Sizable Time-reversal violating effects in bottom baryon decays
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• Center of mass motion in bag model

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