Spectrum of the fully-heavy tetraquarks in a non-relativistic quark model

We apply a non-relativistic variational method to solve the four-body equation describing properties of fully-heavy tetraquark systems. The interaction between quarks including one gluon exchange combining with linear and quadratic confining terms has been used to investigate the masses of cc (c) over bar(c) over bar, bb (b) over bar(b) over bar, and cc (b) over bar (;)(b) over bar (bb (c) over bar(c) over bar) with J(P) = 0(+), 1(+), and 2(+) in L = 0. Our analysis has been inclined to provide an environment to study the differences and similarities between linear and quadratic confinement models. The results calculated by these two models show that there are not any significant differences between them.

Automated summary

We used a non-relativistic variational method to solve the four-body equation for fully-heavy tetraquark systems. The effects of quark interaction, including gluon exchange, linear and quadratic confining terms, were examined to determine the masses of cc (c) over bar(c) over bar, bb (b) over bar(b) over bar, and cc (b) over bar (;)(b) over bar (bb (c) over bar(c) over bar) with J(P) = 0(+), 1(+), and 2(+) in L = 0. Our analysis aimed to investigate the similarities and differences between linear and quadratic confinement models. The results obtained from these models show no significant differences.