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本文详细地讨论了Elliott引入的SU3波函数Ψ(α(λμ)KLM)=(2L+1)/(C(λμKL))∫xΩ(a(λμ)K)×DMKL(Ω)dΩ的若干性质。利用SU3群的无穷小算子的对易关系,可以较容易地求出“内部态”波函数x(α(λμ)K)的表达式,并由此求出了波函数Ψ(α(λμ)KLM)的母分数系数(f·p·c.)。作为例子,本文还计算出了sd壳中有两或三个核子的SU3波函数Ψ(α(λμ)KLM)。In this paper, the properties of the SU3 wave functions, introduced by Elliott in 1958, are discussed in some detail. By means of the commutation relations of the infinitesimal operators of SU3 group, the internal wave functions x(α(λμ))K) can be calculated in a comparatively simple manner. With the use of the internal wave functions x(α(λμ))K), a formula of the fractional parentage coefficients for the SU3 wave functions Ψ(α(λμ))KLM) is obtained. As examples the SU3 wave functions of 2 or 3 nucleons in sd shell are calculated.
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中国物理学会期刊
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