Refined lattice/model investigation of $u d \bar{b} \bar{b}$ tetraquark candidates with heavy spin effects taken into account

TL;DR

This study explores the potential existence of $u d ar{b} ar{b}$ tetraquarks by solving a coupled Schrödinger equation with lattice QCD-derived potentials, accounting for heavy spin effects, providing insights into their stability.

Contribution

It introduces a novel approach to include heavy anti-bottom spin effects in tetraquark investigations using coupled Schrödinger equations and lattice QCD potentials.

Findings

Initial numerical tests show potential bound states.

Heavy spin effects influence tetraquark stability.

Method provides a new framework for heavy-light tetraquark studies.

Abstract

We investigate four-quark systems consisting of two heavy anti-bottom quarks and two light up/down quarks. We propose to solve a coupled Schr\"odinger equation for the anti-bottom-anti-bottom separation using potentials computed via lattice QCD in the limit of static anti-bottom quarks. This coupled Schr\"odinger equation allows to incorporate effects due to the heavy anti-bottom spins. First exploratory numerical tests are discussed.