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

Abstract

We calculate the form factors of the ${\Lambda }_b\to {\Lambda }_c(2625)$ and ${\Xi }_b\to {\Xi }_c(2815)$ transitions, and additionally evaluate the corresponding semileptonic decays and the color-allowed two-body nonleptonic decays. In order to obtain the concerned form factors, we use the three-body light-front quark model with the support from baryon spectroscopy. In this work, as important physical inputs, the spatial wave functions of concerned baryons are obtained by the Gaussian expansion method with a semirelativistic potential model. For the semileptonic processes, the branching ratios of the electron and muon channels can reach up to the order of magnitude of $1\%$, where our result $\mathcal{B}({\Lambda }_b^0\to {\Lambda }_c^{+}(2625){\mu }^{-}{\nu }_{\mu })=(1.641\pm 0.113)\%$ is consistent with the current experimental data. As for the nonleptonic processes, the decays to ${\pi }^{-}$, ${\rho }^{-}$, and $D_s^{(\ast )-}$ final states have considerable widths. These discussed decay modes could be accessible at the LHCb experiment.

arXiv comment18 pages, 7 tables and 6 figures. More discussions added. Accepted by Phys. Rev. D

References in corpus (68)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• New Developments in FeynCalc 9.0
• Evidence for an excess of B -> D(*) Tau Nu decays
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons
• Measurement of the branching ratio of $\bar{B}\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to $\bar{B}\to D^{(\ast )}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with hadronic tagging at Belle
• FeynCalc 9.3: New features and improvements
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• $B\to V{\ell }^{+}{\ell }^{-}$ in the Standard Model from Light-Cone Sum Rules
• Measurement of the $\tau$ lepton polarization and $R(D^{\ast })$ in the decay $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Heavy baryons
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Spectrum of heavy baryons in the quark model
• Measurement of $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ with a semileptonic tagging method
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Spectroscopy of B_c Mesons in the Relativized Quark Model
• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• The semileptonic decay Lambda_b -> Lambda_c + tau(-) + antinu_tau in the covariant confined quark model
• P-wave charmed baryons from QCD sum rules
• Evidence for a new structure in the $J/\psi p$ and $J/\psi \bar{p}$ systems in $B_s^0\to J/\psi p\bar{p}$ decays
• Lattice-Constrained Unitarity Bounds for ${\bar{B}}^0\to {\pi }^{+}{l}^{-}{\bar{\nu }}_l$ Decays
• Weak Decays of Heavy Baryons in Light-Front Approach
• Low-lying charmed and charmed-strange baryon states
• Semileptonic Decays of Heavy Lambda Baryons in a Quark Model
• Semileptonic decays of heavy baryons in the relativistic quark model
• Anatomy of the pQCD Approach to the Baryonic Decays ${\Lambda }_b\to p\pi ,pK$
• Diquarks and Λ_{b}\toΛ_c weak decays
• Study of the $D^{0}p$ amplitude in ${\Lambda }_b^0\to D^{0}p{\pi }^{-}$ decays
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• Semileptonic decays of ${\Lambda }_b$ baryons in the relativistic quark model
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• Charmed Baryon Strong Coupling Constants in a Light-Front Quark Model
• Revisiting ${\Lambda }_b\to {\Lambda }_c$ and ${\Sigma }_b\to {\Sigma }_c$ weak decays in the light-front quark model
• Radiative Leptonic B Decays in the Light Front Model
• The semi-leptonic and non-leptonic weak decays of ${\Lambda }_b^0$
• Semileptonic ${\Lambda }_b\to {\Lambda }_c\ell {\bar{\nu }}_{\ell }$ Transition in Full QCD
• The semi-leptonic form factors of ${\Lambda }_b\to {\Lambda }_c$ and ${\Xi }_b\to {\Xi }_c$ in QCD sum rules
• Light-Front Approach for Heavy Pentaquark Transitions
• Color-allowed Bottom Baryon to Charmed Baryon non-leptonic Decays
• Newly observed ${\Lambda }_c(2860{)}^{+}$ at LHCb and its \emph{D}-wave partners ${\Lambda }_c(2880{)}^{+}$, ${\Xi }_c(3055{)}^{+}$ and ${\Xi }_c(3080{)}^{+}$
• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ form factors from lattice QCD and improved analysis of the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ and ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625)$ form factors
• Theoretical description of the decays ${\Lambda }_b\to {\Lambda }^{(\ast )}({\frac{1}{2}}^{\pm },{\frac{3}{2}}^{\pm })+J/\psi$
• Measurements of the Branching fractions for $B_{(}s)->D_{(}s)\pi \pi \pi$ and ${\Lambda }_b^0->{\Lambda }_c^{+}\pi \pi \pi$
• Form factors of $V^{\prime }\to V^{\prime \prime }$ transition within the light-front quark models
• Strong Decays of observed ${\Lambda }_c$ Baryons in the ${}^3{P}_0$ Model
• Measurement of the mass and production rate of ${\Xi }_b^{-}$ baryons
• Note on the Slope Parameter of the Baryonic Λ_b to Λ_c Isgur-Wise Function
• Study on ${\Xi }_{cc}\to {\Xi }_c$ and ${\Xi }_{cc}\to {\Xi }_c^{\prime }$ weak decays in the light-front quark model
• Nonleptonic two-body weak decays of ${\Lambda }_b$ in modified MIT bag model
• ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625){\ell }^{-}\bar{\nu }$ form factors from lattice QCD
• Light-Front Heavy Quark Effective Theory and Heavy Meson Bound States
• Bounds on the slope and the curvature of the scalar Kπform factor at zero momentum transfer
• ${\Sigma }_b\to {\Sigma }_c^{\ast }$ weak decays in the light-front quark model with two schemes to deal with the polarization of diquark
• Double-charm heptaquark states composed of two charmed mesons and one nucleon
• Weak decays of triply heavy baryons in light front approach
• A lattice study of ${\Lambda }_b$ semileptonic decay
• ${\Lambda }_b\to {\Lambda }_c$ Form Factors from QCD Light-Cone Sum Rules
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• $SU(2N_f)\otimes O(3)$ light diquark symmetry and current-induced heavy baryon transition form factors
• Light-cone Sum Rule Analysis of Semileptonic Decays ${\Lambda }_b^0\to {\Lambda }_c^{+}{\ell }^{-}{\overline{\nu }}_{\ell }$
• The weak decays of ${\Xi }_c^{{(}^{\prime })}\to \Xi$ in the light-front quark model
• Charmed baryon ${\Omega }_c^0\to {\Omega }^{-}{l}^{+}{\nu }_l$ and ${\Omega }_c^0\to {\Omega }_c^{-}{\pi }^{+}({\rho }^{+})$ decays in light cone sum rules
• Restudy of the color-allowed two-body nonleptonic decay of bottom baryons ${\Xi }_b$ and ${\Omega }_b$ supported by hadron spectroscopy
• Semileptonic ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2595)$ and ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2625)$ decays in the molecular picture of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$

Cited by in corpus (6)

• Baryons in the light-front approach: The three-quark picture
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• First determination of the spin-parity of ${\Xi }_c(3055{)}^{+,0}$ baryons
• Baryonic heavy-to-light form factors induced by tensor current in light-front approach
• Semileptonic baryon decays ${\Xi }_b\to {\Xi }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ in perturbative QCD
• The study of weak decays induced by ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{-}$ transition in light-cone sum rules