Scattering of an ultrasoft pion and the X(3872)
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The identification of the X(3872) as a loosely-bound charm-meson molecule allows it to be described by an effective field theory, called XEFT, for the D*D̄, DD̄*, and DD̄π sector of QCD at energies small compared to the pion mass. We point out that this effective field theory can be extended to the sector that includes an additional pion and used to calculate cross sections for the scattering of a pion and the X(3872). If the collision energy is much smaller than the pion mass, the cross sections are completely calculable at leading order in terms of the masses and widths of the charm mesons, pion masses, and the binding energy of the X(3872). We carry out an explicit calculation of the cross section for the breakup of the X(3872) into D*+D̄*0 by the scattering of a very low energy π+. ©2010 The American Physical Society.
Published Version (Please cite this version)10.1103/PhysRevD.82.034018
Publication InfoBraaten, E; Hammer, HW; & Mehen, T (2010). Scattering of an ultrasoft pion and the X(3872). Physical Review D - Particles, Fields, Gravitation and Cosmology, 82(3). pp. 34018. 10.1103/PhysRevD.82.034018. Retrieved from https://hdl.handle.net/10161/4278.
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Professor of Physics
Prof.~Thomas Mehen works primarily on Quantum Chromodynamics (QCD) and the application of effective field theory (EFT) to problems in hadronic physics. EFTs rely on three key ideas: i) identifying the relevant degrees of freedom for a specific physical process; ii) using symmetries of QCD to simplify or constrain the form of interactions; and iii) finding small parameters, either small coupling constants or ratios of disparate mass scales, which can be used to formulate systematic perturbativ