https://doi.org/10.1140/epja/s10050-025-01593-7
Regular Article - Theoretical Physics
Hadron production in the charged current semi-inclusive deeply inelastic scattering of 
nuclei
1
Department of Nuclear Physics, Yantai University, 264005, Yantai, Shandong, China
2
School of Physics and Optoelectronic Engineering, Shandong University of Technology, 255000, Zibo, Shandong, China
Received:
12
March
2025
Accepted:
11
May
2025
Published online:
29
May
2025
The charged current weak interaction can distinguish quark flavors, it provides a valid method to determine (transverse momentum dependent) parton distribution functions in high energy reactions by utilizing tagged hadrons. In this paper, we calculate the charged current semi-inclusive deeply inelastic neutrino and anti-neutrino scattering of nuclei. Semi-inclusive means that a spin-1 hadron is also measured in addition to the scattered charged lepton. The target nucleus has the same number of neutrons and protons and is assumed as unpolarized. According to calculations, we find that only chiral-even terms survive and chiral-odd terms vanish in the differential cross section for this charged current deeply inelastic (anti-)neutrino nucleus scattering process. Furthermore, we introduce a measurable quantity, the yield asymmetry of the produced hadron 
, to determine the nuclear parton distribution functions. Numerical estimates show that the yield asymmetry is independent of the type of target nucleus if it has the same number of neutrons and protons. Numerical estimates also show that sea quark distribution functions and disfavored fragmentation functions have significant influence on measurable quantities.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
