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Multinucleon short-range correlation model for nuclear spectral functions: Theoretical framework

机译：核光谱功能的多核短程相关模型：理论框架

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摘要

We develop a theoretical approach for nuclear spectral functions at high missing momenta and removal energies based on the multinucleon short-range correlation (SRC) model. The approach is based on the effective Feynman diagrammatic method which allows us to account for the relativistic effects important in the SRC domain. In addition to two-nucleon (2N) SRC with center of mass motion we also derive the contribution of three-nucleon SRCs to the nuclear spectral functions. The latter is modeled based on the assumption that 3N SRCs are a product of two sequential short-range nucleon-nucleon (NN) interactions. This approach allows us to express the 3N SRC part of the nuclear spectral function as a convolution of two NN SRCs. Thus the knowledge of 2N SRCs allows us to model both two-and three-nucleon SRC contributions to the spectral function. The derivations of the spectral functions are based on two theoretical frameworks for evaluating covariant Feynman diagrams: In the first, referred to as virtual nucleon approximation, we reduce Feynman diagrams to the time ordered noncovariant diagrams by evaluating nucleon spectators in the SRC at their positive energy poles, neglecting explicitly the contribution from vacuum diagrams. In the second approach, referred to as light-front approximation, we formulate the boost invariant nuclear spectral function in the light-front reference frame in which case the vacuum diagrams are generally suppressed and the bound nucleon is described by its light-front variables such as momentum fraction, transverse momentum, and invariant mass.
机译：我们基于多核短程相关性（SRC）模型在高缺失的动力和去除能量下开发了核谱函数的理论方法。该方法基于有效的FEYNMAN图解方法，使我们能够考虑SRC域中的相对论效果。除了具有大规模运动中心的双核（2N）SRC之外，我们还导致三核SRC对核光谱功能的贡献。后者基于3N SRC是两个顺序短程核仁核（NN）相互作用的乘积的假设进行建模。这种方法允许我们将3N SRC部分的核光谱功能作为两个NN SRC的卷积。因此，2N SRC的知识使我们能够在光谱函数中模拟两个和三核SRC贡献。光谱函数的导出基于两个用于评估协变性Feynman图的理论框架：在第一，称为虚拟核子近似值，通过评估SRC中的核心观众，将Feynman图降低到时间有序的非转力图。杆子，明确地忽视了真空图的贡献。在第二种方法中，称为光正常近似，我们在光前参考框架中制定升压不变的核光谱功能，在这种情况下，真空图通常被抑制，并且结合的核子由其亮相变量如下作为动量分数，横向动量和不变质量。

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