The invariant and helicity amplitudes in the transitions $\Lambda_b\to\Lambda^\ast(\frac12^\pm,\frac32^\pm)+J/\psi$

TL;DR

This paper calculates invariant and helicity amplitudes for $Lambda_b$ decays to excited $Lambda$ states plus $J/$ using a covariant quark model, aiding the identification of hidden charm pentaquarks and exploring potential New Physics effects.

Contribution

It provides detailed amplitude calculations for $Lambda_b$ transitions to various $Lambda^{( ext{ast})}$ states and extends the analysis to potential New Physics contributions in $ar{B}^0$ decays.

Findings

Amplitudes for $Lambda_b$ to $Lambda^{( ext{ast})} J/$ transitions are computed.

Transition form factors for $ar{B}^0 o D^{( ext{ast})}$ are obtained across the full $q^2$ range.

Implications for identifying hidden charm pentaquarks and New Physics effects are discussed.

Abstract

We present results for the invariant and helicity amplitudes in the transitions $\Lambda_b\to\Lambda^{(\ast)}(J^P)+J/\psi$ where the $\Lambda^{(\ast)}(J^P)$ are $\Lambda(sud)$-type ground and excited states with $J^P$ quantum numbers $J^P=\frac12^{\pm},\frac32^{\pm}$. The calculations are performed in the framework of a covariant confined quark model. This analysis is important for the identification of the hidden charm pentaquark states $P_c^+(4380)$ and $P_c^+(4450)$ which were discovered by the LHCb Coll. We also discuss the possible New Physics effects in the exclusive decays $\bar{B}^0 \to D^{(\ast)} \tau^- \bar{\nu}_{\tau}$. We extend the Standard Model by taking into account right-handed vector (axial), left- and right-handed (pseudo)scalar, and tensor current contributions. The $\bar{B}^0 \to D^{(\ast)}$ transition form factors are calculated in the full kinematic $q^2$ range by employing a covariant quark model.