A lattice study of light scalar tetraquarks
Sasa Prelovsek, Daniel Mohler
TL;DR
This study uses lattice QCD to search for light scalar tetraquarks across various isospin channels, finding no evidence for their existence within the tested pion mass range.
Contribution
It introduces a lattice QCD approach to investigate scalar tetraquarks in isospin channels 1/2 and 1, which were not previously studied.
Findings
No indication of light tetraquarks at pion masses 344-576 MeV.
Determined three energy levels per isospin channel.
Distinguished scattering and tetraquark states through volume and time dependence analysis.
Abstract
The observed mass pattern of scalar resonances below 1 GeV gives preference to the tetraquark assignment over the conventional assignment for these states. We present a search for tetraquarks with isospins 0, 1/2, 1 in lattice QCD, where the isospin channels 1/2 and 1 have not been studied before. We determine three energy levels in each isospin channel using the variational method. The scattering states and possible tetraquark states are distinguished by considering the volume-dependence of spectral weights and by considering the time-dependence of correlators near t~T/2. We find no indication for light tetraquarks at our range of pion masses 344-576 MeV.
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