Regular Article - Theoretical Physics
Is two-pole’s one state or two?
1 School of Physics and Electronics, Hunan Key Laboratory of Nanophotonics and Devices, Central South University, 410083, Changsha, China
2 Medical Physics Department, College of Medicals and Applied Science, Charmo University, 46023, Chamchamal, Sulaimania, Iraq
Accepted: 6 September 2021
Published online: 20 September 2021
To understand the nature of two poles for the state, we revisit the interactions of and with their coupled channels, where two-pole structure is found in the second Riemann sheet. We also dynamically generate two poles in the single channel interaction of and , respectively. Moreover, we make a further study of two poles’ properties by evaluating the couplings, the compositeness, the wave functions, and the radii for the interactions of four coupled channels, two coupled channels and the single channel. Our results show that the nature of two poles is unique. The higher-mass pole is a pure molecule, and the lower-mass one is a composite state of mainly with tiny component . From our results, one can conclude that the state may be overlapped with two different states of the same quantum numbers.
© The Author(s) 2021
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