The lowest order constrained variational ($LOCV$) method is used for the finite $nucleonic$ matter in the periodic boxes ($PBLOCV$). Using the cluster expansion of the energy, the $PBLOCV$ symmetric nuclear (pure neutron) matter energies for the different number of nucleons are found at the three-body cluster level. In these computations, the Bethe homework, as well as the central part of the $A{V}^{\prime }8$ (${\left(A{V}^{\prime }8\right)}_c$) potentials, are employed. Considering the three-body cluster energy, the $\left(PB\right)LOCV$ energies become consistent with those of $\left(PB\right)$ Fermi $hypernetted$ chain ($\left(PB\right)FHNC$). By increasing the number of nucleons, the $PBLOCV$ symmetric nuclear (pure neutron) matter three-body cluster energy becomes almost constant (changes at most 15%). It is demonstrated that including the Bethe homework interaction, the ratio of the three-body cluster energy to that of two-body ($R$) is less than 0.17. The corresponding $PBLOCV$ $SNM$ $R$ for the ${\left(A{V}^{\prime }8\right)}_c$ potential is about 1 (1.9), at low (high) densities. As a result, the approximation of the $PBLOCV$ formalism is valid for the pure neutron matter with the Bethe homework potential. Employing the ${\left(A{V}^{\prime }8\right)}_c$ interaction in the $PBLOCV$ $SNM$ calculations, the $LOCV$ normalization constraint probably needs to be extended to the three-body cluster term to improve the $PBLOCV$ approximation.

最低阶约束变分（$\mathrm{大号}ØC\mathrm{伏特}$）方法用于有限 $ñüC升ËØñ\mathrm{一世}C$ 定期框中的物质（$P乙\mathrm{大号}ØC\mathrm{伏特}$）。利用能量的簇扩展，$P乙\mathrm{大号}ØC\mathrm{伏特}$在三体团簇水平上发现了不同数量核子的对称核（纯中子）物质能量。在这些计算中，Bethe作业以及$\mathrm{一种}{\mathrm{伏特}}^{\prime }8$ （${（\mathrm{一种}{\mathrm{伏特}}^{\prime }8）}_C$）的潜力。考虑到三体团簇能量，$（P乙）\mathrm{大号}ØC\mathrm{伏特}$ 能量变得与 $（P乙）$ 费米 $HÿpË\mathrm{[R}ñËŤŤËd$ 链 （$（P乙）FHñC$）。通过增加核子数量，$P乙\mathrm{大号}ØC\mathrm{伏特}$对称核（纯中子）物质的三体簇能量几乎恒定（变化最多15％）。结果表明，包括Bethe家庭作业互动在内，三体簇能量与两体簇能量之比（$\mathrm{[R}$）小于0.17。相应的$P乙\mathrm{大号}ØC\mathrm{伏特}$ $\mathrm{小号}ñ\mathrm{中号}$ $\mathrm{[R}$ 为了 ${（\mathrm{一种}{\mathrm{伏特}}^{\prime }8）}_C$低（高）密度时电势约为1（1.9）。结果，$P乙\mathrm{大号}ØC\mathrm{伏特}$形式主义对于具有Bethe家庭作业潜能的纯中子物质是有效的。用人${（\mathrm{一种}{\mathrm{伏特}}^{\prime }8）}_C$ 互动 $P乙\mathrm{大号}ØC\mathrm{伏特}$ $\mathrm{小号}ñ\mathrm{中号}$ 计算， $\mathrm{大号}ØC\mathrm{伏特}$ 归一化约束可能需要扩展到三体聚类项以改善 $P乙\mathrm{大号}ØC\mathrm{伏特}$ 近似。