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Z c (3900) as a Four-Quark State

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Abstract

Using the method of QCD sum rules, we derive the correlator πZ for a state consisting of two charm quarks and two light quarks, \(c\bar {d}\bar {c}u\), and carry out a Borel transform to find πZ(M B ). From this we find the solution that M B ≃ 3.9 ±. 2 GeV, showing that the Z c(3900) is a tetra-quark state.

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Acknowledgments

This work was supported in part by a grant from the Pittsburgh Foundation. LSK thanks LANL experimentalists for suggesting that the BESIII and Belle experiments could be an important discovery in high energy particle physics, and for a discussion with Prof. Eric Swanson.

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Authors and Affiliations

  1. Department of Physics, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Leonard S. Kisslinger & Steven Casper

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  1. Leonard S. Kisslinger
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  2. Steven Casper
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Correspondence to Leonard S. Kisslinger.

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Kisslinger, L.S., Casper, S. Z c (3900) as a Four-Quark State. Int J Theor Phys 54, 3825–3830 (2015). https://doi.org/10.1007/s10773-015-2623-1

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  • DOI: https://doi.org/10.1007/s10773-015-2623-1

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