Abstract
AbstractIn this paper, we study the resonant state X(6900). The scattering amplitudes of coupled channels, $$J/\psi J/\psi $$
J
/
ψ
J
/
ψ
-$$J/\psi \psi (2S)$$
J
/
ψ
ψ
(
2
S
)
-$$J/\psi \psi (3770)$$
J
/
ψ
ψ
(
3770
)
, are constructed with the interaction of four vector mesons described by effective Lagrangians. The amplitudes are calculated up to one loop, decomposed by partial wave projection, and unitarized by Pad$$\acute{e}$$
e
´
approximation. These amplitudes are fitted to the latest experimental data sets of di-$$J/\psi $$
J
/
ψ
and $$J/\psi \psi (2S)$$
J
/
ψ
ψ
(
2
S
)
invariant mass spectra of LHCb, CMS, and ATLAS. High-quality solutions are obtained. With these partial wave amplitudes, we extract the pole parameters of the X(6900). Its quantum number is likely to be $$0^{++}$$
0
+
+
. According to the pole counting rule as well as analysis of the phase shifts of the partial waves, it supports our previous conclusion that the X(6900) prefers to be a compact tetra-quark.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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