Unraveling the structure of $Λ$ hyperons with polarized $Λ\barΛ$ pairs

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Autor principal: The BESIII Collaboration
Formato: Preprint
Publicado: 2025
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author The BESIII Collaboration
author_facet The BESIII Collaboration
contents With data collected in a dedicated energy scan from 2.3864 up to 3.0800 GeV, the BESIII collaboration provides the first complete energy-dependent measurements of the $Λ$ electromagnetic form factors in the time-like region. By combining double-tag and single-tag events from the $e^+e^- \to Λ\overlineΛ\to pπ^-\bar{p}π^+$ reaction, we achieve a complete decomposition of the spin structure of the reaction at five energy points, with high statistical and systematic precision. Our data reveal that while the modulus of the ratio between the electric and magnetic form factor, $R(q^2) = |G_E(q^2)/G_M(q^2)|$, remains fairly constant across the considered energy range, the relative phase $ΔΦ(q^2) = Φ_E(q^2) - Φ_M(q^2)$ changes by more than 90$^{\mathrm{o}}$ between 2.396 and 2.6544 GeV. Using a fit to our data based on dispersion relations, the complex form factor ratio is determined as a function of $q^2$ and the preferred solution has multiple zero-crossings in the complex plane. From the derivative of the ratio at $q^2 = 0$, the root-mean-squared charge radius of the $Λ$ is obtained. The two most probable solutions yield a negative root-mean-squared charge radius, indicating an asymmetric charge distribution where the $ds$ quark pair lies close to the center of the $Λ$ hyperon.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08072
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unraveling the structure of $Λ$ hyperons with polarized $Λ\barΛ$ pairs
The BESIII Collaboration
High Energy Physics - Experiment
81V22
With data collected in a dedicated energy scan from 2.3864 up to 3.0800 GeV, the BESIII collaboration provides the first complete energy-dependent measurements of the $Λ$ electromagnetic form factors in the time-like region. By combining double-tag and single-tag events from the $e^+e^- \to Λ\overlineΛ\to pπ^-\bar{p}π^+$ reaction, we achieve a complete decomposition of the spin structure of the reaction at five energy points, with high statistical and systematic precision. Our data reveal that while the modulus of the ratio between the electric and magnetic form factor, $R(q^2) = |G_E(q^2)/G_M(q^2)|$, remains fairly constant across the considered energy range, the relative phase $ΔΦ(q^2) = Φ_E(q^2) - Φ_M(q^2)$ changes by more than 90$^{\mathrm{o}}$ between 2.396 and 2.6544 GeV. Using a fit to our data based on dispersion relations, the complex form factor ratio is determined as a function of $q^2$ and the preferred solution has multiple zero-crossings in the complex plane. From the derivative of the ratio at $q^2 = 0$, the root-mean-squared charge radius of the $Λ$ is obtained. The two most probable solutions yield a negative root-mean-squared charge radius, indicating an asymmetric charge distribution where the $ds$ quark pair lies close to the center of the $Λ$ hyperon.
title Unraveling the structure of $Λ$ hyperons with polarized $Λ\barΛ$ pairs
topic High Energy Physics - Experiment
81V22
url https://arxiv.org/abs/2506.08072