${\Lambda }_b\to p,N^{\ast }(1535)$ Form Factors from QCD Light-Cone Sum Rules

Abstract

In this work we calculate the transition form factors of ${\Lambda }_b$ decaying into proton and $N^{\ast }(1535)$ ($J^P={1/2}^{+}$ and ${1/2}^{-}$ respectively), within the framework of light-cone sum rules with the distribution amplitudes (DAs) of ${\Lambda }_b$-baryon. In the hadronic representation of the correlation function, we have isolated both the proton and the $N^{\ast }(1535)$ states so that the ${\Lambda }_b\to p,N^{\ast }(1535)$ form factors can be evaluated simultaneously. Due to the less known properties of baryons, we investigate three interpolating currents of the light baryons and five parametrization models for DAs of ${\Lambda }_b$. Numerically, our predictions on the ${\Lambda }_b\to p$ form factors and the branching fractions of ${\Lambda }_b\to p\ell \nu$ from the Ioffe or the tensor currents are consistent with the Lattice simulation and the results from the light-baryon sum rules, as well as the experimental data of $Br({\Lambda }_b^0\to p{\mu }^{-}\bar{\nu })$. The predictions on the form factors of ${\Lambda }_b\to N^{\ast }(1535)$ are very sensitive to the choice of the interpolating currents so that the relevant measurement could be helpful to clarify the properties of baryons.

29 pages, 3figures

References in corpus (10)

• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Nucleon Form Factors in QCD
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Semileptonic decays of ${\Lambda }_b$ baryons in the relativistic quark model
• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• Distribution Amplitudes of the Lambda_b Baryon in QCD
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Study of the ${\Lambda }_b\to N^{\ast }{\ell }^{+}{\ell }^{-}$ decay in light cone sum rules

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• On sum rules for semi-leptonic $b\to c$ and $b\to u$ decays
• Final-state rescattering mechanism in bottom-baryon decays
• Form factors of ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}$ within light-cone QCD sum rules