Predictions for the ${\Lambda }_b\to J/\psi \Lambda (1405)$ decay

Abstract

We calculate the shape of the $\pi \Sigma$ and $\bar{K}N$ invariant mass distributions in the ${\Lambda }_b\to J/\psi \pi \Sigma$ and ${\Lambda }_b\to J/\psi \bar{K}N$ decays that are dominated by the $\Lambda (1405)$ resonance. The weak interaction part is the same for both processes and the hadronization into the different meson-baryon channels in the final state is related by SU(3) symmetry. The most important feature is the implementation of the meson-baryon final-state interaction using two chiral unitary models from different theoretical groups. Both approaches give a good description of antikaon-nucleon scattering data, the complex energy shift in kaonic hydrogen and the line shapes of $\pi \Sigma K$ in photoproduction, based on the two-pole scenario for the $\Lambda (1405)$. We find that this reaction reflects more the higher mass pole and we make predictions of the line shapes and relative strength of the meson-baryon distributions in the final state.

9 pages, 4 figures

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