论文标题
$^{12} $ c $（0^+）$和$^{12} $ c $（2^+）$ ENEMPLY SPENTRUM中的$^{12} $ c $（0^+）$的特殊性
Peculiarity of the $^{12}$C$(0^+)$ and $^{12}$C$(2^+)$ energy spectrum in a 3$α$ model
论文作者
论文摘要
$^{12} $ c核的最低能量谱在3 $α$ cluster模型中分析，其中具有深厚的$αα$ - Buck，Friedrich和Wheatley的潜力，而Pauli Pauli禁止在$ S $和$ D $ WAVE中。直接正交方法用于消除3 $α$ -PAULI禁止状态。可能的一阶量子相变的影响以最低$^{12} $ c（$ 0_1^+）$和$^{12} $ c（$ 2_1^+）$状态从弱绑定的相位到深阶段。 $^{12} $ c核的地面和最低$ 2^+$状态分别由Pauli投影仪的关键特征态以$ 0^+$和$ 2^+$ $三α功能空间创建。
Lowest energy spectrum of the $^{12}$C nucleus is analyzed in the 3$α$ cluster model with a deep $αα$-potential of Buck, Friedrich and Wheatley with Pauli forbidden states in the $S$ and $D$ waves. The direct orthogonalization method is applied for the elimination of the 3$α$-Pauli forbidden states. The effects of possible first order quantum phase transition are shown in the lowest $^{12}$C($0_1^+)$ and $^{12}$C($2_1^+)$ states from weakly bound phase to a deep phase. The ground and lowest $2^+$ states of the $^{12}$C nucleus in the deep phase are created by the critical eigen states of the Pauli projector for the $0^+$ and $2^+$ three-alpha functional spaces, respectively.
