Tetraquark resonances with the triple flip-flop potential, decays in the cherry in a broken glass approximation

Understand

We develop a unitarized formalism to study tetraquarks using the triple flip-flop potential, which includes two meson-meson potentials and the tetraquark four-body potential.

• This can be related to the Jaffe-Wilczek and to the Karliner-Lipkin tetraquark models, where we also consider the possible open channels, since the four quarks and antiquarks may at any time escape to a pair of mesons.
• Here we study a simplified two-variable toy model and explore the analogy with a cherry in a glass, but a broken one where the cherry may escape from.
• It is quite interesting to have our system confined or compact in one variable and infinite in the other variable.