TY  - JOUR
AU  - Dai, L. R.
AU  - Song, J.
AU  - Oset, E.
PY  - 2023
DA  - 2023//
TI  - Evolution of genuine states to molecular ones: The Tcc(3875) case
T2  - Phys. Lett. B
JO  - Physics Letters B
SP  - 138200
EP  - 6pp
VL  - 846
PB  - Elsevier
AB  - We address the issue of the compositeness of hadronic states and demonstrate that starting with a genuine state of nonmolecular nature, but which couples to some meson-meson component to be observable in that channel, if that state is blamed for a bound state appearing below the meson-meson threshold it gets dressed with a meson cloud and it becomes pure molecular in the limit case of zero binding. We discuss the issue of the scales, and see that if the genuine state has a mass very close to threshold, the theorem holds, but the molecular probability goes to unity in a very narrow range of energies close to threshold. The conclusion is that the value of the binding does not determine the compositeness of a state. However, in such extreme cases we see that the scattering length gets progressively smaller and the effective range grows indefinitely. In other words, the binding energy does not determine the compositeness of a state, but the additional information of the scattering length and effective range can provide an answer. We also show that the consideration of a direct attractive interaction between the mesons in addition to having a genuine component, increases the compositeness of the state. Explicit calculations are done for the Tcc(3875) state, but are easily generalized to any hadronic system.
SN  - 0370-2693
UR  - https://arxiv.org/abs/2306.01607
UR  - https://doi.org/10.1016/j.physletb.2023.138200
DO  - 10.1016/j.physletb.2023.138200
LA  - English
N1  - WOS:001088653400001
ID  - Dai_etal2023
ER  -