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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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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/106021</identifier>
  <creators>
    <creator>
      <creatorName>Yu, Q. X.</creatorName>
      <givenName>Q. X.</givenName>
      <familyName>Yu</familyName>
      <affiliation>College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China</affiliation>
    </creator>
    <creator>
      <creatorName>Liang, W. H.</creatorName>
      <givenName>W. H.</givenName>
      <familyName>Liang</familyName>
      <affiliation>Department of Physics, Guangxi Normal University, Guilin 541004, China</affiliation>
    </creator>
    <creator>
      <creatorName>Bayar, M.</creatorName>
      <givenName>M.</givenName>
      <familyName>Bayar</familyName>
      <affiliation>Department of Physics, Kocaeli University, Izmit 41380, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Oset, E.</creatorName>
      <givenName>E.</givenName>
      <familyName>Oset</familyName>
      <affiliation>Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo.22085, 46071 Valencia, Spain</affiliation>
    </creator>
  </creators>
  <titles>
    <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</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2019</publicationYear>
  <dates>
    <date dateType="Issued">2019-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/106021</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1103/PhysRevD.99.076002</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;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%–85%, 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.&lt;/p&gt;</description>
  </descriptions>
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