本文提出了一种近似计算两核子(2N)和三核子(3 N)短程关联(SRC)大小及其质量依赖性的方法。所提出的方法依赖于SRC的“普适性”或“局部核特征”的概念。我们通过计算独立粒子模型(IPM)核子对和三重核子的数量来量化SRC,这些核子对和三重核子揭示了超平均场行为。有人认为,可以通过计算零相对轨道动量状态下的核子对和三重核子的数量来识别。本文给出了一种在任意平均场基下确定偶和三重态的量子数的方法。研究了2N和3 N SRC的质量依赖性。将预测值与测量值进行比较。这包括包括非弹性电子散射截面的比约肯变量的大值的核2 H和3 He的比率。修正源于对的质心运动的估计。我们发现2N和3 N SRC的每核子相对几率与质量数A有一个软的依赖关系,并且质子-中子2N SRC比质子-质子(中子-中子)2N SRC多. EMC效应的大小和质子-中子SRC对的预测数量之间的线性关系被观察到。这为局部核动力学对EMC效应的作用提供了支持。
英文摘要:
An approximate method to quantify the magnitude of the two-nucleon (2N) and three-nucleon (3N) short-range correlations (SRC) and their mass dependence is proposed. The proposed method relies on the concept of the "universality" or "local nuclear character" of the SRC. We quantify the SRC by computing the number of independent-particle model (IPM) nucleon pairs and triples which reveal beyond-mean-field behavior. It is argued that those can be identified by counting the number of nucleon pairs and triples in a zero relative orbital momentum state. A method to determine the quantum numbers of pairs and triples in an arbitrary mean-field basis is outlined. The mass dependence of the 2N and 3N SRC is studied. The predictions are compared to measurements. This includes the ratio of the inclusive inelastic electron scattering cross sections of nuclei to 2H and 3He at large values of the Bjorken variable. Corrections stemming from the center-of-mass motion of the pairs are estimated. We find that the relative probability per nucleon for 2N and 3N SRC has a soft dependence with mass number A and that the proton-neutron 2N SRC outnumber the proton-proton (neutron-neutron) 2N SRC. A linear relationship between the magnitude of the EMC effect and the predicted number of proton-neutron SRC pairs is observed. This provides support for the role of local nuclear dynamics on the EMC effect.
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