arXiv 1807.086772018-07nucl-thcond-mat.quant-gasnucl-ex

短程关联和电荷密度

Short-range correlations and the charge density

Ronen Weiss, Axel Schmidt, Gerald A. Miller, Nir Barnea

DOI：: 10.1016/j.physletb.2019.01.053

摘要：

先进的高能大动量转移散射实验结合从头计算可以揭示原子核中核子对的短程行为。在相反的能量和分辨率尺度上，利用弹性电子散射实验提取了不同核的电荷密度和电荷半径。我们表明，即使电荷密度与核短程关联没有明显的联系，它可以用来提取这种关联的性质。这是通过使用核接触形式主义来获得电荷密度和质子-质子核接触之间的关系来实现的，该质子-质子核接触描述了两个质子非常接近的概率。利用这种关系，仅使用核电荷密度和双核子薛定谔方程的解作为输入，提取了各种核的质子-质子接触值。对于对称核，质子-中子接触也可以从电荷密度中提取。与以前提取的核接触得到了很好的一致性。这些结果意味着，人们可以预测（具有相当好的精度）的结果，高能量和大动量转移电子散射实验和从头计算的高动量尾巴只使用弹性散射实验的实验数据。

英文摘要：

Sophisticated high-energy and large momentum-transfer scattering experiments combined with ab-initio calculations can reveal the short-distance behavior of nucleon pairs in nuclei. On an opposite energy and resolution scale, elastic electron scattering experiments are used to extract the charge density and charge radius of different nuclei. We show that even though the charge density has no obvious connection with nuclear short-range correlations, it can be used to extract properties of such correlations. This is accomplished by using the nuclear contact formalism to derive a relation between the charge density and the proton-proton nuclear contacts that describe the probability of two protons being at close proximity. With this relation, the values of the proton-proton contacts are extracted for various nuclei using only the nuclear charge density and a solution of the two-nucleon Schroedinger equation as inputs. For symmetric nuclei, the proton-neutron contacts can also be extracted from the charge density. Good agreement is obtained with previous extractions of the nuclear contacts. These results imply that one can predict (with reasonably good accuracy) the results of high-energy and large momentum-transfer electron-scattering experiments and ab-initio calculations of high momentum tails using only experimental data of elastic scattering experiments.

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