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We offer a new theoretical interpretation for the effect of enhanced electrondensity at $^7$Be nucleus encapsulated in fullerene C$_{60}$. Our {\it{abinitio}} Hartree-Fock calculations show that electron density at the $^7$Benucleus in $^7$Be@C$_{60}$ increase due to {\it{}attractive} effectivepotential well generated by the fullerene. The 2$s$ state in the isolated Beatom turns into 3$s$ state in the joint potential. This new state has higherenergy, 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 atthe distance $r \simeq 5a_B$ from the center. The node imitates repulsionbetween the Be electron and the fullerene wall, because the electron has zeroprobability to occupy this region. Such imitation of the repulsion by means ofthe node in attractive potential has direct physical analogy in the theory of$\alpha$-$\alpha$ and $N$-$N$ nuclear interactions.

Electron Capture $\beta$-Decay of $^7$Be Encapsulated in C$_{60}$: Origin of Increased Electron Density at the $^7$Be Nucleus