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Role of the triangle singularity in $\Lambda \left(1405\right)$ production in the ${\pi }^{-}p\to {K}^{0}\pi \Sigma $ and $pp\to p{K}^{+}\pi \Sigma $ processes

Bayar, M.; Pavao, R.; Sakai, S.; Oset, E.


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        "affiliation": "Department of Physics, Kocaeli University, 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 Institutos de Investigaci\u00f3n de Paterna, Aptdo.22085, 46071 Valencia, Spain", 
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        "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": "Sakai, S."
      }, 
      {
        "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 investigated the cross section for the ${\\pi }^{-}p\\to {K}^{0}\\pi \\Sigma $ and $pp\\to p{K}^{+}\\pi \\Sigma $ reactions, paying attention to a mechanism that develops a triangle singularity. The triangle diagram is realized by the decay of a ${N}^{*}$ to ${K}^{*}\\Sigma $ and the ${K}^{*}$ decay into $\\pi K$, and the $\\pi \\Sigma $ finally merges into $\\Lambda \\left(1405\\right)$. The mechanism is expected to produce a peak around $2140\\phantom{\\rule{4pt}{0ex}}\\mathrm{MeV}$ in the $K\\Lambda \\left(1405\\right)$ invariant mass. We found that a clear peak appears around $2100\\phantom{\\rule{4pt}{0ex}}\\mathrm{MeV}$ in the $K\\Lambda \\left(1405\\right)$ invariant mass, which is about $40\\phantom{\\rule{4pt}{0ex}}\\mathrm{MeV}$ lower than the expectation, and that is due to the resonance peak of a ${N}^{*}$ resonance which plays a crucial role in the ${K}^{*}\\Sigma $ production. The mechanism studied produces the peak of the $\\Lambda \\left(1405\\right)$ around or below 1400 MeV, as is seen in the $pp\\to p{K}^{+}\\pi \\Sigma $ HADES experiment.</p>", 
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    "title": "Role of the triangle singularity in $\\Lambda \\left(1405\\right)$ production in the ${\\pi }^{-}p\\to {K}^{0}\\pi \\Sigma $ and $pp\\to p{K}^{+}\\pi \\Sigma $ processes"
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