arXiv 2401.138922024-01-25nucl-thhep-ph

弹性缪子-质子散射中 $π^0$ 交换的贡献

Contribution of $π^0$ Exchange in Elastic Muon-Proton Scattering

Atharva Naik, Andrei Afanasev

备注：: 10 pages, 7 figures

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AI总结：

本文计算弹性缪子-质子散射中 $t$ 道 $π^0$ 交换对螺旋度翻转干涉及双自旋不对称量的贡献，发现 MUSE 运动学区域约为 0.15%。

摘要：

当束流能量与轻子质量处于同一量级时，轻子质量的效应会显著增强。对于电子，这对应于几 MeV 量级的束流动量，在更高能实验中可忽略。本研究计算弹性缪子-质子 $(μp)$ 散射 $μ^- p \rightarrow μ^- p$ 中螺旋度翻转介子交换干涉的微分截面 $dσ/ dΩ$。特别地，我们针对纵向极化束流和横向极化靶，考察 $t$ 道中的 $π^0$ 介子交换。我们证明，由于轻子质量差异，该贡献对缪子更大。随后，我们在 Breit 系中针对靶极化方向垂直和平行于动量转移的情形构造相应的束流-靶双自旋不对称量，并考虑由 $π^0 μμ$ 顶点估计带来的计算模型依赖性。结果发现，在 MUSE 实验的运动学区域内，缪子的该贡献约为 $\sim .15\\%$。

英文摘要：

The effect of the lepton's mass is significantly enhanced when the beam's energy is on the order of the lepton's mass. In the case of electrons, this corresponds to beam momenta on the order of a few MeV and is negligible in higher energy experiments. In this study, we calculate the differential cross section $dσ/ dΩ$ for the helicity-flip meson exchange interference in elastic muon-proton $(μp)$ scattering $μ^- p \rightarrow μ^- p$. In particular, we examine the $π^0$ meson exchange in the $t$-channel for a longitudinally polarized beam and a transversely polarized target. We demonstrate the contribution to be larger for muons due to the lepton mass difference. Then we construct the corresponding beam-target double-spin asymmetries for the target polarized normal and parallel to the momentum transfer in the Breit frame, and then consider the model dependence of the calculation from the estimation of the $π^0 μμ$ vertex. The contribution was found to be on the order of $\sim .15\%$ for muons in the kinematic region of the MUSE experiment.

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