@Article{Cincioglu_etal2016,
author="Cincioglu, E.
and Nieves, J.
and Ozpineci, A.
and Yilmazer, A. U.",
title="Quarkonium Contribution to Meson Molecules",
journal="European Physical Journal C",
year="2016",
publisher="Springer",
volume="76",
number="10",
pages="576 - 25pp",
abstract="Starting from a molecular picture for the X(3872) resonance, this state and its J(PC) = 2(++) heavy-quark spin symmetry partner [X-2(4012)] are analyzed within a model which incorporates possible mixings with 2P charmonium (c (c) over bar) states. Since it is reasonable to expect the bare chi(c1)(2P) to be located above the D (D) over bar* threshold, but relatively close to it, the presence of the charmonium state provides an effective attraction that will contribute to binding the X(3872), but it will not appear in the 2(++) sector. Indeed in the latter sector, the chi(c2)(2P) should provide an effective small repulsion, because it is placed well below the D*(D) over bar* threshold. We show how the 1(++) and 2(++) bare charmonium poles are modified due to the D-(*)(D) over bar ((*)) loop effects, and the first one is moved to the complex plane. The meson loops produce, besides some shifts in the masses of the charmonia, a finite width for the 1(++) dressed charmonium state. On the other hand, X(3872) and X-2(4012) start developing some charmonium content, which is estimated by means of the compositeness Weinberg sum rule. It turns out that in the heavy-quark limit, there is only one coupling between the 2P charmonia and the D-(*)(D) over bar ((*)) pairs. We also show that, for reasonable values of this coupling, leading to X(3872) molecular probabilities of around 70-90{\%}, the X2 resonance destabilizes and disappears from the spectrum, becoming either a virtual state or one being located deep into the complex plane, with decreasing influence in the D*(D) over bar* scattering line. Moreover, we also discuss how around 10-30{\%} charmonium probability in the X(3872) might explain the ratio of radiative decays of this resonance into psi(2S) gamma and J/psi gamma Finally, we qualitatively discuss within this scheme, the hidden bottom flavor sector, paying a special attention to the implications for the X-b and Xb(2) states, heavy-quark spin-flavor partners of the X(3872).",
optnote="WOS:000387139800002",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2856), last updated on Thu, 01 Dec 2016 10:45:08 +0000",
issn="1434-6044",
doi="10.1140/epjc/s10052-016-4413-1",
opturl="http://arxiv.org/abs/1606.03239",
opturl="https://doi.org/10.1140/epjc/s10052-016-4413-1",
archivePrefix="arXiv",
eprint="1606.03239",
language="English"
}