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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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    <subfield code="a">&lt;p&gt;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.&lt;/p&gt;</subfield>
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    <subfield code="a">Bayar, M.</subfield>
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    <subfield code="a">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</subfield>
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    <subfield code="a">Pavao, R.</subfield>
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    <subfield code="a">Sakai, S.</subfield>
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    <subfield code="a">Oset, E.</subfield>
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