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Is the resonance ${X}_{0}\left(2900\right)$ a ground-state or radially excited scalar tetraquark $\left[ud\right]\left[\overline{c}\overline{s}\right]$?

Agaev, S. S.; Azizi, K.; Sundu, H.


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{
  "@context": "https://schema.org/", 
  "@id": 262603, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Institute for Physical Problems, Baku State University, Az\u20131148 Baku, Azerbaijan", 
      "name": "Agaev, S.\u2009S."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Department of Physics, University of Tehran, North Karegar Avenue, Tehran 14395-547, Iran", 
      "name": "Azizi, K."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Department of Physics, Kocaeli University, 41380 Izmit, Turkey", 
      "name": "Sundu, H."
    }
  ], 
  "datePublished": "2022-01-01", 
  "description": "<p>We investigate properties of the ground-state and first radially excited four-quark mesons ${X}_{0}$ and ${X}_{0}^{\\prime }$ with a diquark-antidiquark structure $\\left[ud\\right]\\left[\\overline{c}\\overline{s}\\right]$ and spin-parities ${J}^{P}={0}^{+}$. Our aim is to reveal whether or not one of these states can be identified with the resonance ${X}_{0}\\left(2900\\right)$, recently discovered by the LHCb Collaboration. We model ${X}_{0}$ and ${X}_{0}^{\\prime }$ as tetraquarks composed of either axial-vector or scalar diquark and antidiquark pairs. Their spectroscopic parameters are computed by employing the QCD two-point sum rule method and including vacuum condensates up to dimension 15 in the analysis. For an axial-axial structure of ${X}_{0}^{\\left(\\prime \\right)}$, we find partial widths of the decays ${X}_{0}^{\\left(\\prime \\right)}\\to {D}^{-}{K}^{+}$ and ${X}_{0}^{\\left(\\prime \\right)}\\to {D}^{0}{K}^{0}$, and estimate full widths of the states ${X}_{0}^{\\left(\\prime \\right)}$. To this end, we calculate the strong couplings at the vertices ${X}_{0}^{\\left(\\prime \\right)}DK$ in the framework of the light-cone sum rule method. We also use technical approaches of the soft-meson approximation necessary to analyze tetraquark-meson-meson vertices. We obtain $m=\\left(2545\u00b1160\\right)\\text{}\\text{}\\mathrm{MeV}$ and ${m}^{\\prime }=\\left(3320\u00b1120\\right)\\text{}\\text{}\\mathrm{MeV}$ [${m}_{S}=\\left(2663\u00b1110\\right)\\text{}\\text{}\\mathrm{MeV}$ and ${m}_{S}^{\\prime }=\\left(3325\u00b185\\right)\\text{}\\text{}\\mathrm{MeV}$ for a scalar-scalar current] for the masses of the particles ${X}_{0}$ and ${X}_{0}^{\\prime }$, as well as estimates for their full widths ${\\Gamma }_{0}=\\left(140\u00b129\\right)\\text{}\\text{}\\mathrm{MeV}$ and ${\\Gamma }_{0}^{\\prime }=\\left(110\u00b125\\right)\\text{}\\text{}\\mathrm{MeV}$, which allow us to interpret that neither is the resonance ${X}_{0}\\left(2900\\right)$. At the same time, these predictions provide important information about the ground-state and radially excited diquark-antidiquark structures ${X}_{0}$ and ${X}_{0}^{\\prime }$, which should be objects of future experimental and theoretical studies.</p>", 
  "headline": "Is the resonance ${X}_{0}\\left(2900\\right)$ a ground-state or radially excited scalar tetraquark $\\left[ud\\right]\\left[\\overline{c}\\overline{s}\\right]$?", 
  "identifier": 262603, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Is the resonance ${X}_{0}\\left(2900\\right)$ a ground-state or radially excited scalar tetraquark $\\left[ud\\right]\\left[\\overline{c}\\overline{s}\\right]$?", 
  "url": "https://aperta.ulakbim.gov.tr/record/262603"
}
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