Using Line Shapes to Discriminate between Binding Mechanisms for the X3872 - High Energy Physics - PhenomenologyReport as inadecuate




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Abstract: We construct line shapes for the X3872 that generalize the Flatte andzero-range line shapes that have been considered previously. These line shapesare associated with scattering amplitudes that are exactly unitary for realvalues of the interaction parameters and can be derived from a renormalizablequantum field theory. The new line shapes can be used to discriminate betweenthe alternative binding mechanisms in which the X3872 is generated eitherdynamically by charm meson interactions or by a resonance near the D^{*0}Dbar^0 threshold. If the resonance is identified with the P-wave charmoniumstate chi- {c1}, the interaction parameters can be constrained by usingcharmonium phenomenology. We analyze data on the X3872 and also data from theBelle and Babar Collaborations on the invariant mass distribution of the charmmesons from the decay B -> K + D^{*0} Dbar^0 up to 4000 MeV. Our analysis iscompatible with the mechanism for the X3872 being either a fine-tuning ofcharm meson interactions or the fine-tuning of the chi- {c1} to the D^{*0}Dbar^0 threshold. In particular, the data do not exclude a separate chi- {c1}resonance between the D^{*+} D^- threshold and 4000 MeV.



Author: Pierre Artoisenet, Eric Braaten, Daekyoung Kang

Source: https://arxiv.org/







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