Speakers
Description
Exact solutions for energy spectra and eigenstates for Tetraquarks are found by using an infinite dimensional algebraic method. The Interacting Boson Model, as proposed by Arima and Iachello [1], includes two types of bosons with angular momentum L = 0 (s bosons) and L = 2 (d bosons) in a two-level system. Exact eigen-energies and the corresponding wavefunctions of an interacting four-level pairing in a transitional region of rotation and vibration limits are obtained by using the bethe ansatz method. To analyze the vibration and rotational limits, similar to Refs. [2-4], the SU(1,1) pairing algebra is introduced. The solvable approach presented in this lecture may also be helpful in diagonalizing more general multiquark systems.
[1] A. Arima and F. Iachello, Phys. Rev. Lett. 35, 1069 (1975).
[2] F. Pan and J. Draayer, Nucl. Phys. A 636, 156 (1998)
[3] A. J. Majarshin, Y.-A. Luo, F. Pan, H. T. Fortune, and J. P. Draayer, Phys. Rev. C 103, 024317 (2021).
[4] A. J. Majarshin, Y.-A. Luo, F. Pan, and H. T. Fortune, Phys. Rev. C 104, 014321 (2021).
