jn组态中本征值的可解性
Solvability of eigenvalues in jn configurations
摘要：
在jn组态（在j轨道上的n个相同核子）中本征态的本征值是两体能量的函数。在某些情况下，它们是两体能量的线性组合，其系数+/-与相互作用无关，并且是有理数非负数。它表明，在这里，是任何两体相互作用的本征态的状态具有这种可解性属性。特别地，这包括自旋为J的任何状态，如果在jn组态中没有其他状态具有这个J的话。它还表明，可解本征值的本征态有一定的资历v，因此，表现出部分动力学对称性。
英文摘要：
Eigenvalues of eigenstates in jn configurations (n identical nucle- ons in the j -orbit) are functions of two-body energies. In some cases they are linear combinations of two-body energies whose coe+/-cients are independent of the interaction and are rational non-negative num- bers. It is shown here that a state which is an eigenstate of any two-body interaction has this solvability property. This includes, in particular, any state with spin J if there are no other states with this J in the jn configuration. It is also shown that eigenstates with solvable eigenvalues have definite seniority v and thus, exhibit partial dynamical symmetry.
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。
