Open charm-bottom scalar tetraquarks and their strong decays

TL;DR

This paper calculates the masses, couplings, and decay widths of open charm-bottom scalar tetraquarks using QCD sum rules, providing new theoretical predictions for these exotic states.

Contribution

It introduces a comprehensive QCD sum rule analysis of scalar tetraquarks with specific quark contents, including decay properties and strong couplings, which are novel in this context.

Findings

Mass predictions for $Z_q$ and $Z_s$ tetraquarks consistent with literature

Calculated strong decay widths for $Z_q$ and $Z_s$ states

Determined strong couplings using light-cone sum rules

Abstract

The mass and meson-current coupling of the diquark-antidiquark states with the quantum numbers $J^{P}=0^{+}$ and quark contents $Z_{q}=[cq][\bar {b} \bar q ]$ and $Z_{s}=[cs][\bar {b} \bar s]$ are calculated using two-point QCD sum rule approach. In calculations the quark, gluon and mixing condensates up to eight dimensions are taken into account. The parameters of the scalar tetraquarks extracted from this analysis are employed to explore the strong vertices $Z_q B_c \pi $, $Z_q B_c \eta $ and $Z_s B_c \eta $ and compute the couplings $g_{Z_qB_c \pi }$, $g_{Z_qB_c \eta }$ and $g_{Z_sB_c \eta }$. The strong couplings are obtained within the soft-meson approximation of QCD light-cone sum rule method: they form, alongside with other parameters, the basis for evaluating the widths of $Z_q \to B_c \pi$, $% Z_q \to B_c \eta$ and $Z_s \to B_c \eta$ decays. Obtained in this work results for the mass of the tetraquarks $Z_{q}$ and $Z_{s}$ are compared with available predictions presented in the literature.