Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
2 Pith papers cite this work, alongside 53 external citations. Polarity classification is still indexing.
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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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Finite-volume analysis of the $H$-dibaryon including left-hand-cut effects
Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
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