高能物理与核物理
高能物理與覈物理
고능물리여핵물리
HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS
2007年
3期
251-257
,共7页
赝自旋对称性%自旋对称性%谐振子%Dirac方程
贗自鏇對稱性%自鏇對稱性%諧振子%Dirac方程
안자선대칭성%자선대칭성%해진자%Dirac방정
pseudospin symmetry%spin symmetry%harmonic oscillator%Dirac equation
通过求解具有谐振子势的径向标量势与矢量势的Dirac方程,分别分析了原子核中赝自旋和自旋双重态的能级劈裂和波函数劈裂随着谐振子的振动频率参数ω和描述谐振子势阱底偏离中心参数r0的变化关系.研究发现,这些参数对于赝自旋和自旋双重态的能级劈裂和波函数劈裂都有着显著的影响.此外,也研究了能级劈裂和波函数劈裂随着量子数的变化关系.由于参数ω与核子数有关,而参数r0与形变核有关,所以以这些参数为变量对于赝自旋劈裂和自旋劈裂的研究是有意义的,研究的结果至少可以定性地应用到大部分原子核中.
通過求解具有諧振子勢的徑嚮標量勢與矢量勢的Dirac方程,分彆分析瞭原子覈中贗自鏇和自鏇雙重態的能級劈裂和波函數劈裂隨著諧振子的振動頻率參數ω和描述諧振子勢阱底偏離中心參數r0的變化關繫.研究髮現,這些參數對于贗自鏇和自鏇雙重態的能級劈裂和波函數劈裂都有著顯著的影響.此外,也研究瞭能級劈裂和波函數劈裂隨著量子數的變化關繫.由于參數ω與覈子數有關,而參數r0與形變覈有關,所以以這些參數為變量對于贗自鏇劈裂和自鏇劈裂的研究是有意義的,研究的結果至少可以定性地應用到大部分原子覈中.
통과구해구유해진자세적경향표량세여시량세적Dirac방정,분별분석료원자핵중안자선화자선쌍중태적능급벽렬화파함수벽렬수착해진자적진동빈솔삼수ω화묘술해진자세정저편리중심삼수r0적변화관계.연구발현,저사삼수대우안자선화자선쌍중태적능급벽렬화파함수벽렬도유착현저적영향.차외,야연구료능급벽렬화파함수벽렬수착양자수적변화관계.유우삼수ω여핵자수유관,이삼수r0여형변핵유관,소이이저사삼수위변량대우안자선벽렬화자선벽렬적연구시유의의적,연구적결과지소가이정성지응용도대부분원자핵중.
Pseudospin symmetry and spin symmetry in the relativistic harmonic oscillator are investigated systematically by solving the Dirac equation with scalar and vector potentials and are found to be a good approximation in realistic nuclei such as 208Pb. The pseudospin breaking and spin breaking are shown in correlation with nuclear mean field. The harmonic oscillator frequency and the distance of well-bottom deviation from the center of the potential play an important role in the splittings of energy and wavefunction. The energy-level crossing are found for all the pseudospin partners. The dependence of splittings with quantum numbers is also analyzed.
