%0 Journal Article
%T Evolution of genuine states to molecular ones: The Tcc(3875) case
%A Dai, L. R.
%A Song, J.
%A Oset, E.
%J Physics Letters B
%D 2023
%V 846
%I Elsevier
%@ 0370-2693
%G English
%F Dai_etal2023
%O WOS:001088653400001
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5760), last updated on Fri, 10 Nov 2023 07:51:55 +0000
%X 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.
%R 10.1016/j.physletb.2023.138200
%U https://arxiv.org/abs/2306.01607
%U https://doi.org/10.1016/j.physletb.2023.138200
%P 138200-6pp