The three-body nuclear and molecular resonances for \(^{135}_{~55}\)Cs+\(^2_1\)H+\(^2_1\)H, and \(^{133}_{~55}\)Cs+\(^3_1\)H+\(^3_1\)H systems are calculated in “cuboctahedron \(^{135}_{~55}\)Cs\(^2_1\)H\(_2\) \(^\textrm{A}_{46}\)Pd\(_{12}\) and \(^{133}_{~55}\)Cs\(^3_1\)H\(_2\) \(^\textrm{A}_{46}\)Pd\(_{12}\) clusters” in a very wide range from 0.01[fm] to several hundreds of nm in “one stretch” with more than “100 significant figures”, where the mass number A of Pd could be 102, 104, 105, 106, 108, 110 but neglected hereafter, because Pd isn’t concerned directly with the nuclear reaction. We obtained several new “three-ion resonance states” between the expected molecular CsH\(_2\) ground state and the first excited state in cuboctahedron CsH\(_2\)Pd\(_{12}\) cluster, where H represents either a \(^1_1\)H, a \(^2_1\)H, or a \(^3_1\)H, respectively. The molecular “ground and the first excited states” in the cluster are derived by the Kohn-Sham equation or the ADF package which could mainly describe many electrons rather than cores of ions. We found that the E2 transition times from some CsH\(_2\) \((7/2^+)\) resonance states (or the IOS states) to the nuclear \(^{139}_{~57}\)La \((7/2^+)\) ground state are about \(\tau =10^{-1}\sim 10^{-6}\)sec for five traditional potentials, and \(\tau =10^{-2}\sim 10^{-8}\)sec for six potentials with our long range three-body force (3BLF) where the “molecular resonances” can strongly interfere with the “nuclear resonances”. The thermal nuclear “critical reaction value” (or fusion constant) and/or ultra low energy corresponding value: \(C_\mathrm{high/low}\)=(duration time)\(\times \)(density)\(\times \)(energy or temperature) are compared. It was found that \(C_\textrm{low}\) is almost the same order as \(C_\textrm{high}\) or more. Finally, an ignition method for the synthesis will be discussed.

\(^{135}_{~55}\) Cs+ \(^2_1\) H+ \(^2_1\) H 和\(^{133}_{~55}的三体核和分子共振\) Cs+ \(^3_1\) H+ \(^3_1\) H 系统在“立方八面体\(^{135}_{~55}\) Cs \(^2_1\) H \(_2\) \中计算(^\textrm{A}_{46}\) Pd \(_{12}\)和\(^{133}_{~55}\) Cs \(^3_1\) H \(_2\) \ (^\textrm{A}_{46}\) Pd \(_{12}\)簇”在一个非常宽的范围内，从 0.01[fm] 到数百纳米，“一次延伸”，具有超过“100 个显着值”数字”，其中 Pd 的质量数 A 可能是 102、104、105、106、108、110，但此后忽略，因为 Pd 不直接参与核反应。我们在立方八面体 CsH \(_2\) Pd \(_{12}\)簇中获得了预期分子 CsH \(_2\)基态和第一激发态之间的几个新的“三离子共振态” ，其中 H 代表分别为\(^1_1\) H、\(^2_1\) H 或\(^3_1\) H。团簇中的分子“基态和第一激发态”是由 Kohn-Sham 方程或 ADF 包导出的，它主要描述许多电子而不是离子核心。我们发现E2从一些CsH \(_2\) \((7/2^+)\)共振态（或IOS态）到核\(^{139}_{~57}\)的跃迁时间对于五个传统势， La \((7/2^+)\)基态约为\(\tau =10^{-1}\sim 10^{-6}\)秒，并且\(\tau =10 ^{-2}\sim 10^{-8}\)秒，用我们的长程三体力 (3BLF) 产生六个势能，其中“分子共振”会强烈干扰“核共振”。热核“临界反应值”（或聚变常数）和/或超低能量对应值：\(C_\mathrm{high/low}\) =(持续时间) \(\times \) (密度) \( \times \)（能量或温度）进行比较。发现\(C_\textrm{low}\)几乎与\(C_\textrm{high}\)相同或更高。最后，将讨论合成的点火方法。