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Description
The S-matrix describing the scattering process can be expressed in terms of projection operators onto the allowed spin–isospin channels and the corresponding phase shifts. Using the entanglement entropy in the spin or isospin space of the two-particle state, one can define the entanglement power, which quantifies the ability of the S-matrix to generate entanglement in the system. By investigating the conditions under which the entanglement power of the S-matrix is minimized, namely, the conditions for entanglement suppression, one can derive relations among the phase shifts in different spin-isospin channels. Furthermore, by comparing these relations with the interaction Lagrangian, one can identify the underlying symmetries [1,2].
In this work, we apply the framework of entanglement suppression to coupled-channel meson scattering involving the K\bar{K} system. We discuss the implications of the conditions obtained from entanglement suppression and the structure of near-threshold scalar resonances, such as f_0(980) and a_0(980), from the perspective of emergent symmetries.
[1] S. R. Beane, D. B. Kaplan, N. Klco and M. J. Savage, Phys. Rev. Lett. 122, 102001 (2019).
[2] I. Low and T. Mehen, Phys. Rev. D 104, 074014 (2021).
[3] T.R. Hu, K. Sone, F. K. Guo, T. Hyodo and I. Low, arXiv:2506.08960 [hep-ph].