Many-body correlations characterizing the Constrained Molecular Dynamics (CoMD) are analyzed in the case of finite and zero-range effective microscopic interactions. The study begins by analyzing the case of infinite nuclear matter at zero temperature. A comparison with the predictions in the mean-field (MF) limit corresponding to different effective masses, highlights non-negligible differences regarding the produced Equation of State (EoS). A procedure is illustrated to determine the necessary corrections of the effective interaction parameters in the CoMD model so to reproduce the chosen EoS. The specific model calculations, the general feature of the discussed correlations gives a wider meaning to the resulting differences, which are in fact strongly related both to the Pauli principle constraint and to the localization effects related to wave-packets dynamics. Moving on to finite systems, preliminary results are shown in relation to the reaction mechanisms in the ${}^{64}Ni{+}^{48}Ca$ system described by the CoMD model. Therefore, the topic covered illustrates the effects produced by the correlations of the CoMD dynamics on the EoS and on some observables commonly studied in heavy ion collisions.

在有限和零范围有效微观相互作用的情况下，分析了表征约束分子动力学（CoMD）的多体相关性。该研究首先分析零温度下无限核物质的情况。与不同有效质量对应的平均场 (MF) 极限的预测进行比较，突出显示了所生成的状态方程 (EoS) 方面存在不可忽略的差异。说明了确定 CoMD 模型中有效相互作用参数的必要校正的过程，以便重现所选的 EoS。具体的模型计算、所讨论的相关性的一般特征赋予了所产生的差异更广泛的含义，这实际上与泡利原理约束和与波包动力学相关的局域效应密切相关。转向有限系统，初步结果显示了与反应机制相关的结果${}^{64}氮我{+}^{48}CA$CoMD 模型描述的系统。因此，本主题说明了 CoMD 动力学相关性对 EoS 以及重离子碰撞中常见研究的一些可观测量产生的影响。