Relativistic harmonic oscillator with spin symmetry
Relativistic harmonic oscillator with spin symmetry
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DOI：
10.1103/physrevc.69.034318
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发表时间：
2004-03
影响因子：
3.1
通讯作者：
J. Ginocchio
中科院分区：
文献类型：
--
作者：
J. Ginocchio
导出了具有相等标量和矢量谐振子势的狄拉克哈密顿量的本征函数和本征能量。相等的标量势和矢量势可以应用于嵌入核中的反核子的光谱。三轴，轴向变形，和球形振子潜力被认为是。该谱在所有情况下都具有自旋对称性，对于球谐振子势，讨论了类似于非相对论谐振子SU（3）对称性的更高对称性。
The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials are derived. Equal scalar and vector potentials may be applicable to the spectrum of an antinucleon embedded in a nucleus. Triaxial, axially deformed, and spherical oscillator potentials are considered. The spectrum has a spin symmetry for all cases and, for the spherical harmonic oscillator potential, a higher symmetry analogous to the SU(3) symmetry of the nonrelativistic harmonic oscillator is discussed.