Variational study of the flux tube recombination in the two quarks and two quarks system in Lattice QCD

Understand

The color fields in a system composed by two static quarks and two static antiquarks are studied.

• In particular, we consider the four particles in the corners of a rectangle, and two possible alignment of the particles, one in which the quarks are at the same side of the rectangle, and the other where they are at opposite sides.
• We use a variational method, to probe not only the ground state but also the first excited state.
• This results permit us to observe and interpret the flux-tube recombination in the mesons to mesons and the tetraquark to mesons transitions, for both states.