In the Pursuit of $X(5568)$ and its Charmed Partner

TL;DR

This paper uses thermal QCD sum rules to calculate the mass and properties of the $X(5568)$ tetraquark candidate and its charmed partner, providing theoretical predictions to guide future experimental verification.

Contribution

It presents the first thermal QCD sum rule calculations of the $X(5568)$ and its charmed partner, assuming different spin-parity assignments, to aid experimental searches.

Findings

Mass and pole residue estimates for $X(5568)$ and its partner.

Analysis of thermal properties relevant for upcoming experiments.

Predictions under different quantum number assumptions.

Abstract

The recent observation by the D$\O$ collaboration of the first tetraquark candidate with four different quark flavors $(u, d, s$ and $ b)$ in the $B^0_s\pi^{\pm}$ channel having a narrow structure, has still not been confirmed by other collaborations. Further independent experiments are required either to confirm the $X(5568)$ state or to set limits on its production. Though quantum numbers are not exactly clear, the results existing in the literature indicate that it is probably an axial-vector or scalar state candidate. In this study, mass and pole residue of the $X(5568)$ resonance assuming as a tightly bound diquark, with spin-parity both $J^{P}=1^{+}$ or $J^{PC}=0^{++}$ are calculated using two-point Thermal SVZ sum rules technique by including condensates up to dimension six. Moreover, its partner in the charm sector is also discussed. Investigations defining the thermal properties of $X(5568)$ and its charmed partner may provide valuable hints and information for the upcoming experiments such as CMS, LHCb and PANDA.