Bosonic algebraic approach applied to the [ Q Q ] [ Q ¯ Q ¯ ] tetraquarks
The exact eigenenergies of the $T_{4c}$ = [$cc$][$\bar{c}\bar{c}$], $T_{4b}$ = [$bb$][$\bar{b}\bar{b}$], and $T_{2|bc|}$ = [$bc$][$\bar{b}\bar{c}$] tetraquarks are calculated within the extended transitional Hamiltonian approach, in which the so-called Bethe ansatz within an infinite-dimensional Lie...
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description | The exact eigenenergies of the $T_{4c}$ = [$cc$][$\bar{c}\bar{c}$], $T_{4b}$ = [$bb$][$\bar{b}\bar{b}$], and $T_{2|bc|}$ = [$bc$][$\bar{b}\bar{c}$] tetraquarks are calculated within the extended transitional Hamiltonian approach, in which the so-called Bethe ansatz within an infinite-dimensional Lie algebra is used. We fit the parameters appearing in the transitional region from phenomenology associated with potential candidates of tetraquarks. The rotation and vibration transitional theory seems to provide a better description of heavy tetraquarks than other attempts within the same formalism. Our results indicate that the pairing strengths are large enough to provide binding; an extended comparison with the current literature is also performed. |
doi_str_mv | 10.1103/PhysRevD.105.054024 |
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subjects | ASTRONOMY AND ASTROPHYSICS bound states CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS quantum chromodynamics strong interaction symmetries |
title | Bosonic algebraic approach applied to the [ Q Q ] [ Q ¯ Q ¯ ] tetraquarks |
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