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arXiv 0707.3530hep-ph
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$ρ^{0}$介子相干电产生对核的正向$A$依赖

$A$-dependence of coherent electroproduction of $ρ^{0}$ mesons on nuclei in forward direction

N. Akopov, Z. Akopov, G. Aslanyan, L. Grigoryan

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摘要：

本文给出了在纵向动量转移$q_{L}$一定的情况下，矢量介子在核上正向相干电生微分截面对$A$的依赖性.结果表明，这种截面在原子质量数$A$上具有复杂的行为，存在局部极小值和极大值。还表明，核$α_{A} = \Re e{f_{A}} / \Im m{f_{A}}$上前向相干振幅的实部与虚部之比在某些值$A$处有破缺点。比较了规范化截面$\Big(\frac{dσ}{dΩ}\Big)_{A}\Big/\Big(\frac{dσ}{dΩ}\Big)_{N}$和$α_{A}$在$A$上的行为，发现截面极小值的位置非常接近$α_{A}$的断裂点.

英文摘要：

This article presents the $A$-dependence of the differential cross section for the coherent electroproduction of vector mesons on nuclei in forward direction, at fixed values of longitudinal momentum transfer $q_{L}$. It is shown that such cross section has complicated behavior over the atomic mass number $A$ with local minimums and maximums. It is also shown that a ratio of the real to the imaginary parts of the forward coherent amplitude on nuclei $α_{A} = \Re e{f_{A}} / \Im m{f_{A}}$ has breaking points at some values of $A$. Comparison of the behaviors of the normalized cross section $\Big(\frac{dσ}{dΩ}\Big)_{A}\Big/\Big(\frac{dσ}{dΩ}\Big)_{N}$ and $α_{A}$ over $A$ shows that the location of minimums of the cross section are very close to the breaking points of $α_{A}$.

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