Visualization of light tetraquarks under the five-dimensional SU(2) representation

Indian Journal of Physics(2024)

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Abstract
In this manuscript, a novel effort has been made to theoretically realize the construction of light tetraquarks made up of two quark-antiquark pairs using Lie group representation. It has been amiably shown that they constitute an isospin multiplet. A five-dimensional representation of the SU(2) group has been projected and these exotic hadrons innately fill this submission in the postulated SU(2) isospin group. Additionally, the attainment of isospin triplets and singlets of tetraquarks has also been done which satisfies the desired requirement of the Kronecker product of four doublets of the SU(2) group. Furthermore, the physical analysis of the states and the weights can be credibly given in terms of these light tetraquarks.
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Key words
Tetraquarks,Lie algebra,SU(2) group,Young Tableaux,Casimir operator
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