$K^-d\rightarrowπΛN$ reaction with in-flight kaons for studying the $ΛN$ interaction
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909769399271424 |
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| author | Yasunaga, Shunsuke Jido, Daisuke Ishikawa, Takatsugu |
| author_facet | Yasunaga, Shunsuke Jido, Daisuke Ishikawa, Takatsugu |
| contents | The $ΛN$ invariant mass spectra for the reactions $K^-d\rightarrowπ^-Λp$ and $K^-d\rightarrowπ^0Λn$ are calculated for experimental study of isospin symmetry breaking in the $ΛN$ scattering at low energies, the difference in the scattering lengths and effective ranges of $Λp$ and $Λn$ systems. The calculations are performed for in-flight kaons with a momentum of 1000 MeV/c with employing partial wave analysis up to the p-wave for meson-baryon amplitudes and the spin-flip term for baryon-baryon amplitudes. Kinematic selection is utilized to suppress the background processes by selecting forward-emitting pions and higher momentum nucleons. It is worth noting that isospin symmetry breaking in the $ΛN$ system can be extracted from the difference of the $ΛN$ invariant mass spectra between the $K^-d\rightarrowπ^-Λp$ and $K^-d\rightarrowπ^0Λn$ reactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15534 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $K^-d\rightarrowπΛN$ reaction with in-flight kaons for studying the $ΛN$ interaction Yasunaga, Shunsuke Jido, Daisuke Ishikawa, Takatsugu Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment The $ΛN$ invariant mass spectra for the reactions $K^-d\rightarrowπ^-Λp$ and $K^-d\rightarrowπ^0Λn$ are calculated for experimental study of isospin symmetry breaking in the $ΛN$ scattering at low energies, the difference in the scattering lengths and effective ranges of $Λp$ and $Λn$ systems. The calculations are performed for in-flight kaons with a momentum of 1000 MeV/c with employing partial wave analysis up to the p-wave for meson-baryon amplitudes and the spin-flip term for baryon-baryon amplitudes. Kinematic selection is utilized to suppress the background processes by selecting forward-emitting pions and higher momentum nucleons. It is worth noting that isospin symmetry breaking in the $ΛN$ system can be extracted from the difference of the $ΛN$ invariant mass spectra between the $K^-d\rightarrowπ^-Λp$ and $K^-d\rightarrowπ^0Λn$ reactions. |
| title | $K^-d\rightarrowπΛN$ reaction with in-flight kaons for studying the $ΛN$ interaction |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2405.15534 |