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

TL;DR

This study uses a variational approach in Lattice QCD to analyze flux tube recombination in a four-particle system, revealing transitions between mesonic and tetraquark states and comparing results with static potential predictions.

Contribution

It introduces a variational method to probe both ground and excited states of flux tubes in a four-quark system, providing new insights into flux-tube recombination phenomena.

Findings

Observation of flux-tube recombination in different quark arrangements

Identification of meson-meson and tetraquark to meson transitions

Comparison with Casimir scaling and static potential results

Abstract

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. The results are compared with previous results for the static potential and the Casimir scaling predictions.