Four-quark structure of the Zc (3900), Z (4430), and Xb (5568) states

Fabian Goerke, Thomas Gutsche, Mikhail A. Ivanov, Jürgen G. Körner, Valery E. Lyubovitskij, Pietro Santorelli

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Abstract

We examine the four-quark structure of the recently discovered charged Zc(3900), Z(4430), and Xb(5568) states. We calculate the widths of the strong decays Zc+→J/ψπ+ (ηcρ+, D0D∗+, D∗0D+), Z(4430)+→J/ψπ+ (ψ(2s)π+), and Xb+→Bsπ+ within a covariant quark model previously developed by us. We find that the tetraquark-type current widely used in the literature for the Zc(3900) leads to a significant suppression of the DD∗ and D∗D modes. Contrary to this a molecular-type current provides an enhancement by a factor of 6-7 for the DD∗ modes compared with the Zc+→J/ψπ+, ηcρ+ modes in agreement with recent experimental data from the BESIII Collaboration. In the case of the Z(4430) state we test a sensitivity of the ratio RZ of the Z(4430)+→ψ(2s)π+ and Z(4430)+→J/ψπ+ decay rates to a choice of the size parameter ΛZ(4430) of the Z(4430). Using the upper constraint for the sum of these two modes deduced from the LHCb Collaboration data we find that RZ varies from 4.64 to 4.08 when ΛZ(4430) changes from 2.2 to 3.2 GeV. Also we make the prediction for the Z(4430)+→D∗+D∗0 decay rate.

Original languageEnglish
Article number094017
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume94
Issue number9
DOIs
Publication statusPublished - 15 Nov 2016

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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