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arXiv · 1501.02924

Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction

V. Baru·E. Epelbaum·A. A. Filin·Feng-Kun Guo·H. -W. Hammer·C. Hanhart·Ulf-G. Meißner·A. V. Nefediev
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Abstract

In a recent paper Phys.Rev.Lett. 111, 042002 (2013) (arXiv:1304.0846), the charmonium state X(3872) is studied in the framework of an effective field theory. In that work it is claimed that (i) the one-pion exchange (OPE) alone provides sufficient binding to produce the X as a shallow bound state at the $D^0\bar{D}^{*0}$ threshold, (ii) short-range dynamics (described by a contact interaction) provides only moderate corrections to the OPE, and (iii) the X-pole disappears as the pion mass is increased slightly and therefore the X should not be seen on the lattice, away from the pion physical mass point, if it were a molecular state. In this paper we demonstrate that the results of Phys.Rev.Lett. 111, 042002 (2013) (arXiv:1304.0846) suffer from technical as well as conceptual problems and therefore do not support the conclusions drawn by the authors.

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V. Baru, E. Epelbaum, A. A. Filin, Feng-Kun Guo, H. -W. Hammer, C. Hanhart, Ulf-G. Meißner, A. V. Nefediev. 2015-01-13. Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction. https://doi.org/10.1103/physrevd.91.034002

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