QNP2022 - The 9th International Conference on Quarks and Nuclear Physics

Quantum phase transition in tetraquarks

Sep 7, 2022, 2:25 PM

20m

online

Hadron Spectroscopy

Speakers

Amir Jalili (Nankai University)Prof. Jorge Segovia (Departamento Sistemas Físicos, Químicos y Naturales, Universidad Pablo de Olavide)

Description

The exact eigenenergies of the T4c, T4b, T2bc tetraquarks are calculated within the extended transitional Hamiltonian approach. The IBM, as proposed by Arima and Iachello [1], includes two types of bosons with angular momentum L = 0 (s bosons) and L = 2 (d bosons). To investigate the properties of tetraquarks, similar to that of the two-level system, a four-level system is considered here. To analyze the Quantum Phase Transition between the spherical and rotational limits, similar to Refs. [3-5], the SU(1,1) pairing algebra is introduced. Our results suggest that the pairing strengths are large enough to provide binding; an extended comparison with the current literature is also performed.

[1] A. Arima and F. Iachello, Phys. Rev. Lett. 35, 1069 (1975).
[3] F. Pan and J. Draayer, Nucl. Phys. A 636, 156 (1998)
[4] A. J. Majarshin, Y.-A. Luo, F. Pan, H. T. Fortune, and J. P. Draayer, Phys. Rev. C 103, 024317 (2021).
[5] A. J. Majarshin, Y.-A. Luo, F. Pan, and H. T. Fortune, Phys. Rev. C 104, 014321 (2021).