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arXiv 0907.1697nucl-th
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核-核相互作用的各种理论方法中的核半径计算

Nuclear Radii Calculations in Various Theoretical Approaches for Nucleus-Nucleus Interactions

C. Merino, I. S. Novikov, Yu. M. Shabelski

摘要:

不稳定核(放射性核)的尺寸和核密度分布信息通常是从放射性核束与核靶相互作用的数据中提取的。我们表明,在核-核碰撞的情况下,参数的值依赖于所考虑的理论方法,而强烈的核密度分布的参数化的假设。当用光学近似、刚性靶近似和Glauber理论的精确表达式计算时,对于原子量A = 12-40的稳定核,所得到的均方根半径(R_{rms})值变化约0.1 fm。我们提出了几个例子的R_{rms}半径计算使用这三种理论方法,并比较这些结果与电子核散射得到的数据。

英文摘要:

The information about sizes and nuclear density distributions in unstable (radioactive) nuclei is usually extracted from the data on interaction of radioactive nuclear beams with a nuclear target. We show that in the case of nucleus-nucleus collisions the values of the parameters depend rather strongly on the considered theoretical approach and on the assumption about the parametrization of the nuclear density distribution. The obtained values of root-mean-square radii (R_{rms}) for stable nuclei with atomic weights A = 12-40 vary by approximately 0.1 fm when calculated in the optical approximation, in the rigid target approximation, and using the exact expression of Glauber Theory. We present several examples of R_{rms} radii calculations using these three theoretical approaches and compare these results with the data obtained from electron-nucleus scattering.

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