29 Nisan 2024 Dergi makalesi Açık Erişim

Bayar, M.; Molina, R.; Oset, E.; Liu, Ming-Zhu; Geng, Li-Sheng

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        "affiliation": "Department of Physics, Kocaeli Univeristy, 41380, Izmit, Turkey", 
        "name": "Bayar, M."
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        "affiliation": "Departamento de F\u00edsica Te\u00f3rica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Parc Cient\u00edfic UV, C/ Catedr\u00e1tico Jos\u00e9 Beltr\u00e1n, 2, 46980 Paterna, Spain", 
        "name": "Molina, R."
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        "affiliation": "Departamento de F\u00edsica Te\u00f3rica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Parc Cient\u00edfic UV, C/ Catedr\u00e1tico Jos\u00e9 Beltr\u00e1n, 2, 46980 Paterna, Spain", 
        "name": "Oset, E."
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      {
        "affiliation": "School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China", 
        "name": "Liu, Ming-Zhu"
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      {
        "affiliation": "School of Physics, Beihang University, Beijing 102206, China", 
        "name": "Geng, Li-Sheng"
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    "description": "<p>We address a general problem in the evaluation of triangle loops stemming from the consideration of the range of the interaction involved in some of the vertices, as well as the energy dependence of the width of some unstable particles in the loop. We find sizeable corrections from both effects. We apply that to a loop relevant to the ${D}_{s}^{+}\\to {\\pi }^{+}{\\pi }^{0}\\eta $ decay, and find reductions of about a factor of 4 in the mass distribution of invariant mass of the $\\pi \\eta $ in the region of the ${a}_{0}\\left(980\\right)$. The method used is based on the explicit analytical evaluation of the ${q}^{0}$ integration in the ${d}^{4}q$ loop integration, using Cauchy's residues method, which at the same time offers an insight on the convergence of the integrals and the effect of form factors and cutoffs.</p>", 
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      "issue": "7", 
      "title": "Physical Review D", 
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    "title": "Subtleties in triangle loops for ${D}_{s}^{+}\\to {\\rho }^{+}\\eta \\to {\\pi }^{+}{\\pi }^{0}\\eta $ in ${a}_{0}\\left(980\\right)$ production"
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