Nonrelativistic treatment of fully-heavy tetraquarks as diquark-antidiquark states

• Published in: The European physical journal. C, Particles and fields Vol. 81; no. 4; pp. 1 - 14
• Main Author: Mutuk, Halil
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2021; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Astronomy; Astrophysics and Cosmology; Collaboration; Elementary Particles; Energy; Excitation; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quarks; Regular Article - Theoretical Physics; Spectrum analysis; String Theory; Thresholds
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-021-09176-8

The goal of the present work is to obtain a reliable estimate of the masses of the ground and radially excited states of fully-heavy tetraquark systems. In order to do this, we use a nonrelativistic model of tetraquarks which are assumed to be compact and consist of diquark-antidiquark pairs. This nonrelativistic model is composed of Hulthen potential, a linear confining potential and spin-spin interaction. We computed ground, first, and second radially excited c c c ¯ c ¯ and b b b ¯ b ¯ tetraquark masses. It was found that predicted masses of ground states of c c c ¯ c ¯ and b b b ¯ b ¯ tetraquarks are significantly higher than the thresholds of the fall-apart decays to the lowest allowed two-meson states. These states should be broad and are thus difficult to observe experimentally. First radially excited states are considerably lower than their corresponding (2S-2S) two-meson thresholds. We hope that our study may be helpful to the experimental search for ground and excited c c c ¯ c ¯ and b b b ¯ b ¯ tetraquark states.