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arXiv 1409.8545nucl-thhep-exhep-phnucl-ex
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氘-铅核准弹性散射的有效谱函数

Effective Spectral Function for Quasielastic Scattering on Nuclei from Deuterium to Lead

A. Bodek, M. E. Christy, B. Coopersmith

摘要:

谱函数不能完全描述电子和中微子从原子核的准弹性散射,因为它们只模拟初始状态。末态相互作用扭曲了峰处微分截面的形状,并增加了分布尾部的截面。我们发现,运动学分布预测的$ψ'$超标度形式主义可以很好地描述与修改后的{ \it {有效谱函数}}(ESF)。通过构造,使用ESF结合横向增强贡献的模型正确地预测电子QE散射数据。我们的结合能参数$Δ$的值小于Moniz从1971年以前的数据中提取的费米气体模型中的$\overlineε$,可能是因为这些早期的截面没有对库仑效应进行校正。

英文摘要:

Spectral functions do not fully describe quasielastic electron and neutrino scattering from nuclei because they only model the initial state. Final state interactions distort the shape of the differential cross section at the peak and increase the cross section at the tails of the distribution. We show that the kinematic distributions predicted by the $ψ'$ superscaling formalism can be well described with a modified {\it {effective spectral function}} (ESF). By construction, models using ESF in combination with the transverse enhancement contribution correctly predict electron QE scattering data. Our values for the binding energy parameter $Δ$ are smaller than $\overlineε$ extracted within the Fermi gas model from pre 1971 data by Moniz, probably because these early cross sections were not corrected for coulomb effects.

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