$^{16}$ O中$α$-团簇态和离域PDMATHAAB态的相关基描述
Correlated-basis description of $α$-cluster and delocalized $0^+$ states in $^{16}$O
摘要：
对$^{12}$ C + $n$ + $n$ + $p$ + $p$进行了五体计算，为解决原子核理论中的一个突出问题：对$^{16}$ O的基态和第一激发态$^+$的同时精确描述迈出了一步.组成粒子之间的相互作用的选择与束缚子系统的能量一致，特别是$^{12}$ C $+n$、$^{12}$ C $+p$和$α$-粒子。在相关高斯基函数上，用随机变分法求解五体动力学问题。在$^{12}$ C中，除了Pauli原理不包括占据轨道外，对四核子组态没有任何限制。计算了$^{16}$ O的基态和第一激发态的能量，结果与实验符合得很好。波函数的分析表明空间本地化的PDMATHAMT-粒子状簇结构的激发态和壳模型样离域结构的基态。
英文摘要：
A five-body calculation of $^{12}$C+$n$+$n$+$p$+$p$ is performed to take a step towards solving an outstanding problem in nuclear theory: The simultaneous and accurate description of the ground and first excited 0$^+$ states of $^{16}$O. The interactions between the constituent particles are chosen consistently with the energies of bound subsystems, especially $^{12}$C$+n$, $^{12}$C$+p$, and $α$-particle. The five-body dynamics is solved with the stochastic variational method on correlated Gaussian basis functions. No restriction is imposed on the four-nucleon configurations except the Pauli principle excluding the occupied orbits in $^{12}$C. The energies of both the ground and first excited states of $^{16}$O are obtained in excellent agreement with experiment. Analysis of the wave functions indicates spatially localized $α$-particle-like cluster structure for the excited state and shell-model-like delocalized structure for the ground state.
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