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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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{
  "DOI": "10.1103/PhysRevC.97.035203", 
  "abstract": "<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>", 
  "author": [
    {
      "family": "Bayar", 
      "given": " M."
    }, 
    {
      "family": "Pavao", 
      "given": " R."
    }, 
    {
      "family": "Sakai", 
      "given": " S."
    }, 
    {
      "family": "Oset", 
      "given": " E."
    }
  ], 
  "container_title": "Physical Review C", 
  "id": "106903", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2018, 
        1, 
        1
      ]
    ]
  }, 
  "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", 
  "type": "article-journal", 
  "volume": "97"
}
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