Extended optimal Fermi averaging for near-recoilless $\Lambda$ production in the ($K^-$, $\pi^-$) reaction on nuclei
We propose to extend the optimal Fermi averaging procedure theoretically in order to calculate an in-medium $K^-n\to \pi^- \Lambda$ amplitude for the exothermic ($K^-$, $\pi^-$) reaction on nuclei in the framework of a distorted-wave impulse approximation, taking into account the local momentum tran...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
04.06.2022
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Subjects | |
Online Access | Get full text |
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Summary: | We propose to extend the optimal Fermi averaging procedure theoretically in
order to calculate an in-medium $K^-n\to \pi^- \Lambda$ amplitude for the
exothermic ($K^-$, $\pi^-$) reaction on nuclei in the framework of a
distorted-wave impulse approximation, taking into account the local momentum
transfer generated by semiclassical distorted waves for $K^-$ and $\pi^-$
mesons. Angular distributions for the $^{12}$C($K^-$, $\pi^-$)$^{12}_\Lambda$C
reaction in which a momentum transfer is $q \lesssim$ 80 MeV/$c$ at $p_K=$ 800
MeV/$c$ in the $\pi^-$ forward direction, are estimated by applying the
extended procedure. The result shows that the calculated angular distributions
are in good agreement with those of the data, and this extension is a
successful prescription making it possible to describe the reaction cross
sections in near-recoilless reactions such as ($K^-$, $\pi^-$) in our
framework. |
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Bibliography: | J-PARC-TH-0266 |
DOI: | 10.48550/arxiv.2206.02020 |