A New Look at the $Y$ Tetraquarks and $\Omega_c$ Baryons in the Diquark Model

TL;DR

This paper investigates hidden charm P-wave tetraquarks and Omega_c baryons within the diquark model, predicting new states and analyzing their quantum numbers and masses to test the diquark dynamics.

Contribution

It provides a detailed analysis of P-wave tetraquarks and Omega_c baryons in the diquark model, including predictions of new resonances and their properties.

Findings

Predicted many new states in the diquark model supermultiplet.

Worked out quantum numbers and masses for these states.

Discussed parameter variations due to experimental uncertainties.

Abstract

We analyze the hidden charm $P$-wave tetraquarks in the diquark model, using an effective Hamiltonian incorporating the dominant spin-spin, spin-orbit and tensor interactions. We compare with other $P$-wave system such as $P$-wave charmonia and the newly discovered $\Omega_c$ baryons, analysed recently in this framework. Given the uncertain experimental situation on the $Y$ states, we allow for different spectra and discuss the related parameters in the diquark model. In addition to the presently observed ones, we expect many more states in the supermultiplet of $L=1$ diquarkonia, whose $J^{PC}$ quantum numbers and masses are worked out, using the parameters from the currently preferred $Y$-states pattern. The existence of these new resonances would be a decisive footprint of the underlying diquark dynamics.