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Line shape and ${D}^{\left(*\right)}{\overline{D}}^{\left(*\right)}$ probabilities of $\psi \left(3770\right)$ from the ${e}^{+}{e}^{-}\to D\overline{D}$ reaction

Yu, Q. X.; Liang, W. H.; Bayar, M.; Oset, E.


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        "affiliation": "College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China", 
        "name": "Yu, Q.\u2009X."
      }, 
      {
        "affiliation": "Department of Physics, Guangxi Normal University, Guilin 541004, China", 
        "name": "Liang, W.\u2009H."
      }, 
      {
        "affiliation": "Department of Physics, Kocaeli University, Izmit 41380, Turkey", 
        "name": "Bayar, M."
      }, 
      {
        "affiliation": "Departamento de F\u00edsica Te\u00f3rica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigaci\u00f3n de Paterna, Aptdo.22085, 46071 Valencia, Spain", 
        "name": "Oset, E."
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    "description": "<p>We have performed a calculation of the $D\\overline{D}$, $D{\\overline{D}}^{*}$, ${D}^{*}\\overline{D}$, ${D}^{*}{\\overline{D}}^{*}$ components in the wave function of the $\\psi \\left(3770\\right)$. For this we make use of the ${}^{3}{P}_{0}$ model to find the coupling of $\\psi \\left(3770\\right)$ to these components, that with an elaborate angular momentum algebra can be obtained with only one parameter. Then we use data for the ${e}^{+}{e}^{-}\\to D\\overline{D}$ reaction, from where we determine a form factor needed in the theoretical framework, as well as other parameters needed to evaluate the meson-meson self-energy of the $\\psi \\left(3770\\right)$. Once this is done we determine the $Z$ probability to still have a vector core and the probability to have the different meson components. We find $Z$ about 80%\u201385%, and the individual meson-meson components are rather small, providing new empirical information to support the largely $q\\overline{q}$ component of vector mesons, and the $\\psi \\left(3770\\right)$ in particular. A discussion is done of the meaning of the terms obtained for the case of the open channels where the concept of probability cannot be strictly used.</p>", 
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    "publication_date": "2019-01-01", 
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    "title": "Line shape and ${D}^{\\left(*\\right)}{\\overline{D}}^{\\left(*\\right)}$ probabilities of $\\psi \\left(3770\\right)$ from the ${e}^{+}{e}^{-}\\to D\\overline{D}$ reaction"
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