https://doi.org/10.1140/epjp/s13360-022-02658-y
Regular Article
An analytical approach to the mass spectrum of heavy tetraquarks in dimeson model
1
Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran
2
Department of Physics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
Received:
7
December
2021
Accepted:
28
March
2022
Published online:
22
April
2022
Hadron spectroscopy is a powerful tool for testing the quark model of the standard model and also for the search of new physics. In this regard, the study of exotic hadrons including tetraquarks and pentaquarks has attracted a lot of interest during recent years. Motivated by the LHCb-group discovery of exotic hadrons in the range 6.2–6.9 GeV, in this work, we study the mass spectra of heavy tetraquarks in their ground and excited states through dimeson model. Following this model, we consider a tetraquark as a bound state of the meson-antimeson molecule in which mesons/antimesons are considered as thick points which interact through the Hellmann potential which is a superposition of the Coulomb and the Yukawa potential. The one pion exchange potential along with the spin–spin interaction is also incorporated in the mass calculations, perturbatively. The dimeson model reduces a four-body problem to a two-body one which enables us to study the mass spectrum of tetraquarks via the Bethe–Salpeter wave equation, analytically. We will present our predictions for observed tetraquarks, as well as upcoming ones.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022