半球量子谐振子
Semi-spheroidal Quantum Harmonic Oscillator
摘要：
通过求解半球势阱的薛定谔方程，导出了一种新的单粒子壳模型。只允许波函数的$Z(z)$分量的负宇称态，从而得到扁半球、半球和长半球的新幻数。半球幻数与扁球超形变形状下的幻数相同：2，6，14，26，44，68，100，140，.超变形扁长幻数的半球体形状是相同的，在球谐振子的球形形状得到的：2，8，20，40，70，112，168.
英文摘要：
A new single-particle shell model is derived by solving the Schrödinger equation for a semi-spheroidal potential well. Only the negative parity states of the $Z(z)$ component of the wave function are allowed, so that new magic numbers are obtained for oblate semi-spheroids, semi-sphere and prolate semi-spheroids. The semi-spherical magic numbers are identical with those obtained at the oblate spheroidal superdeformed shape: 2, 6, 14, 26, 44, 68, 100, 140, ... The superdeformed prolate magic numbers of the semi-spheroidal shape are identical with those obtained at the spherical shape of the spheroidal harmonic oscillator: 2, 8, 20, 40, 70, 112, 168 ...
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
