Double strangeness pentaquarks and other exotic hadrons in the ${\Xi }_b\to \Xi J/\Psi \varphi$ decay

Abstract

We study the possibility that four $\Xi$ resonances $(\Xi (1620)$, $\Xi (1690)$, $\Xi (1820)$, $\Xi (1950))$ could correspond to pentaquark states, in the form of meson-baryon bound systems. We also explore the possible existence of doubly strange pentaquarks with hidden charm $(P_{css})$ and find two candidates structured in a similar form, at energies of $4493\mathrm{MeV}$ and $4630\mathrm{MeV}$. The meson-baryon interaction is built from t-channel meson exchange processes which are evaluated using effective Lagrangians. Moreover we analyse the ${\Xi }_b\to \Xi J/\psi \varphi$ decay process, which permits exploring the existence of the heavy double strange pentaquark, as well as other exotic hadrons, in the three different two-body invariant mass spectra of the emitted particles. In the $J/\psi \varphi$ mass spectrum, we analyse the nature of the $X(4140)$ and $X(4160)$ resonances. In the $J/\psi \Xi$ invariant mass spectrum, we study the signal produced by the doubly strange pentaquark, where we conclude that it has a good chance to be detected in this reaction if its mass is around $4580-4680\mathrm{MeV}$. Finally, in the $\varphi \Xi$ spectrum we study the likelihood to detect the $\Xi (2500)$ state.

Comments: 24 pages, 29 figures