强耦合SU(3)极限的一些性质

SOME PROPERTIES OF THE STRONG COUPLING SU(3)LIMIT

在 IBM4中,共有7条可能的群链,其中群链 U(36)U_6(sd)×U_6(ST)SU_3(sd)×SU_3(S)×SU_3(T)SU_3(sdS)×SU_3(T)O_3(J)×O_3(T)叫强耦合 SU(3)极限。在这种极限下,本文推出轻核中具有相同玻色子数的偶偶核和奇奇核构成一个同位旋多重态。另外,通过用群链 U(36)U_6(sd)×U_6(ST)SU_3(sd)×SU_2(S)×SU_3(T)SV_3(sdS)×SU_3(T)U(1)×SU(2)×O_3(T)标记的 T=0低能态波函数|[n]{n,0,…,0}(2n,0)(n,0)(λ,μ)∈∧∑;(00)0〉≡|[n](λμ)∈∧∑〉,得到强耦合 SU(3)极限的基带内禀态波函数 X([n](3n,0)k=0)=1/n!A_0^(+n)|0〉,再利用 Elliott 的方法,得到强耦合 SU(3)极限的基带波函数。

There are seven group chains in light nuclei,where the group chain U_(36)(?)U_6 (sd)×U_6(ST)(?) SU_3(sd)×SU_3(S)×SU_3(T)(?)SU_3(sdS)×SU_3(T)(?)O_3(J)×O_3(T) is called strong coupling SU (3) limit.In this case,it is derived that the even-even nucleus and odd-odd nucleus with same boson number form a multiplet.Using the low-lying state wave-functions with T=0|[n]{n,0, ...,0} (2n,0)(n,0)(λ,μ)∈∧∑;(0,0)0>≡|[n](λ,μ)∈∧∑>,which are labelled by group chainU(36)(?)U_6 (sd)×U_6 (ST)(?)SU_3(sd)×SU_3(S)×SU_3 (T)(?)SU_3(sdS)×SU_3(T)(?) U(1)×SU(2)×O_3(T),the intrinsic state wave-funetions of ground state band for the strong coupling SU(3) limit are obtained,and then by means of Elliott's method,the wave-functions of the ground state band for the strong coupling SU(3) limit are given.