| With the successful preparation of a series of A@C60 atoms in laboratory, great progress has been done in theoretical research of the confined atom's properties. There are many novel properties of the confined atoms, which is indicated by theoretial calculation. To list a few of them, the prediction of unusual level crossings, the appearance of confinement resonances in photoionization cross sections of A@C60 atoms, effects of selective compression of the atomic orbital by an attractive shell, the significant redistribution of oscillation strengths and "reversed" action of electron correlation in @A atoms compared to free atoms, etc. Further, it suggests a new tool for controlling the properties of atoms.We focus on the resonance enhancement of the Hydrogen-Like system under confined environment. Using B-spline with a nonlinear algebraic mapping technique to expand radial wavefunction, at the base of calculating the spectral properties of this system, we take Be3+ ion in buckyminister fullerence for an example and have calculated the 2s-3p oscillator strength of endohedrally confined Hydrogen-Like system with different shapes and locations of the confining well. Resonance enhancement appears while the 2s and 3p states are both bounded in outer well, and a "resonance enhancement peak" has been found at the "collapse point" for the first time. Resonance enhancement is due to the existent of double wells structure (inner Coulomb well and outer well). Our results show that resonance enhancement always appears under outer wells of differrent shapes, and it is insensitive to the shape of confining well. It's also influenced by confinement ability, with the strengthen of outer well's confinement ability, Vo(outer well depth parameter) corresponding to "resonance enhancement peak". The location of confining well, affects resonance enhancement a lot. We increase rA(outer well location parameter), and find resonance enhancement becomes more and more observable.
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