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The scale dependent nuclear effects in parton distributions for practical applications

机译:实际应用中parton分布中与尺度相关的核效应

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The scale dependence of the ratios of parton distributions in a proton of a nucleus A and in the free proton, (R_i^A(x,Q^2)=f_{i/A}(x,Q^2)/f_i(x,Q^2)), is studied within the framework of the lowest order leading-twist DGLAP evolution. By evolving the initial nuclear distributions obtained with the GRV-LO and CTEQ4L sets at a scale (Q_0^2), we show that the ratios (R_i^A(x,Q^2)) are only moderately sensitive to the choice of a specific modern set of free parton distributions. We propose that to a good first approximation, this parton distribution set-dependence of the nuclear ratios (R_i^A(x,Q^2)) can be neglected in practical applications. With this result, we offer a numerical parametrization of (R_i^A(x,Q^2)) for all parton flavours i in any (A>2), and at any (10^{-6}le x le 1) and any (2.25 { m GeV}^2le Q^2le 10^4,{ m GeV}^2) for computing cross sections of hard processes in nuclear collisions.
机译:原子核A的质子和自由质子的Parton分布之比的比例依赖性(R_i ^ A(x,Q ^ 2)= f_ {i / A}(x,Q ^ 2)/ f_i( x,Q ^ 2)),是在最低阶前扭曲DGLAP演化的框架内进行研究的。通过演化以GRV-LO和CTEQ4L集获得的初始核分布的规模为(Q_0 ^ 2),我们表明比率(R_i ^ A(x,Q ^ 2))仅对a的选择敏感。特定的现代免费parton发行集。我们建议,对于一个好的一阶近似,在实际应用中可以忽略核比率(R_i ^ A(x,Q ^ 2))的这一部分分布集相关性。有了这个结果,我们为任何(A> 2)和任何(10 ^ {-6} le x le 1)的所有parton风味i提供了(R_i ^ A(x,Q ^ 2))的数值参数化。以及任何用于计算核碰撞中硬过程横截面的(2.25 {m GeV} ^ 2le Q ^ 2le 10 ^ 4,{m GeV} ^ 2)。

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