The $Λ_c^+\toηπ^+Λ$ reaction and the $Λa_0^+(980)$ and $π^+Λ(1670)$ contributions

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Main Authors: Duan, Man-Yu, Lyu, Wen-Tao, Xiao, Chu-Wen, Wang, En, Xie, Ju-Jun, Chen, Dian-Yong, Oset, Eulogio
Format: Preprint
Published: 2024
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author Duan, Man-Yu
Lyu, Wen-Tao
Xiao, Chu-Wen
Wang, En
Xie, Ju-Jun
Chen, Dian-Yong
Oset, Eulogio
author_facet Duan, Man-Yu
Lyu, Wen-Tao
Xiao, Chu-Wen
Wang, En
Xie, Ju-Jun
Chen, Dian-Yong
Oset, Eulogio
contents We study from the theoretical point of view the $Λ_c^+\to π^+ ηΛ$ reaction, recently measured by the Belle and BESIII Collaborations, where clear signals are observed for $a_0(980)$, $Λ(1670)$, and $Σ(1385)$ excitation. By considering the $a_0(980)$ and $Λ(1670)$ as dynamically generated resonances from the meson meson and meson baryon interaction, respectively, we are able to determine their relative production strength in the reaction, which is also tied to the strength of the $π^+ ηΛ$ tree level contribution. We observe that this latter strength is very big and there are large destructive interferences between the tree level and the rescattering terms where the $a_0(980)$ and $Λ(1670)$ are generated. The $Σ(1385)$ contribution is included by means of a free parameter, the only one of the theory, up to a global normalization, when one considers only external emission, and we observe that the spin flip part of this term, usually ignored in theoretical and experimental works, plays an important role determining the shape of the mass distributions. Internal emission is also considered and it is found to play a minor role.
format Preprint
id arxiv_https___arxiv_org_abs_2410_16078
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The $Λ_c^+\toηπ^+Λ$ reaction and the $Λa_0^+(980)$ and $π^+Λ(1670)$ contributions
Duan, Man-Yu
Lyu, Wen-Tao
Xiao, Chu-Wen
Wang, En
Xie, Ju-Jun
Chen, Dian-Yong
Oset, Eulogio
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We study from the theoretical point of view the $Λ_c^+\to π^+ ηΛ$ reaction, recently measured by the Belle and BESIII Collaborations, where clear signals are observed for $a_0(980)$, $Λ(1670)$, and $Σ(1385)$ excitation. By considering the $a_0(980)$ and $Λ(1670)$ as dynamically generated resonances from the meson meson and meson baryon interaction, respectively, we are able to determine their relative production strength in the reaction, which is also tied to the strength of the $π^+ ηΛ$ tree level contribution. We observe that this latter strength is very big and there are large destructive interferences between the tree level and the rescattering terms where the $a_0(980)$ and $Λ(1670)$ are generated. The $Σ(1385)$ contribution is included by means of a free parameter, the only one of the theory, up to a global normalization, when one considers only external emission, and we observe that the spin flip part of this term, usually ignored in theoretical and experimental works, plays an important role determining the shape of the mass distributions. Internal emission is also considered and it is found to play a minor role.
title The $Λ_c^+\toηπ^+Λ$ reaction and the $Λa_0^+(980)$ and $π^+Λ(1670)$ contributions
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2410.16078