电子俘获$β$ --包裹在C $_{60}$中的PDMATHAAB的衰变：$^7$ Be核电子密度增加的起源
Electron Capture $β$-Decay of $^7$Be Encapsulated in C$_{60}$: Origin of Increased Electron Density at the $^7$Be Nucleus
摘要：
本文对富勒烯C $_{60}$包裹的$^7$ Be核的电子密度增强效应提供了一种新的理论解释。我们的{ \it{ab initio} } Hartree-Fock计算表明，由于富勒烯产生的{ \it{}吸引}有效势阱，$^7$ Be@C $_{60}$中$^7$ Be核的电子密度增加。孤立Be原子的2 $s$态在联合势中转变为3 $s$态。这个新的状态具有更高的能量，并且在Be核处的振幅比先前的2 $s$状态稍大。此外，3 $s$波函数在距中心$r \simeq 5a_B$的距离处出现了额外的{ \it{}节点}。这个节点模拟了Be电子和富勒烯壁之间的排斥，因为电子占据这个区域的概率为零。这种用吸引势中的节点来模拟斥力的方法在$α$ - $α$和$N$ - $N$核相互作用理论中有直接的物理类比。
英文摘要：
We offer a new theoretical interpretation for the effect of enhanced electron density at $^7$Be nucleus encapsulated in fullerene C$_{60}$. Our {\it{ab initio}} Hartree-Fock calculations show that electron density at the $^7$Be nucleus in $^7$Be@C$_{60}$ increase due to {\it{}attractive} effective potential well generated by the fullerene. The 2$s$ state in the isolated Be atom turns into 3$s$ state in the joint potential. This new state has higher energy, and slightly larger amplitude at the Be nucleus than the previous 2$s$ state. Moreover the 3$s$ wave function has additional {\it{}node} appeared at the distance $r \simeq 5a_B$ from the center. The node imitates repulsion between the Be electron and the fullerene wall, because the electron has zero probability to occupy this region. Such imitation of the repulsion by means of the node in attractive potential has direct physical analogy in the theory of $α$-$α$ and $N$-$N$ nuclear interactions.
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