Fermion realization of the nuclear Sp(6,R) model

Fermion realization of the nuclear Sp(6,R) model
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核 Sp(6,R) 模型的费米子实现

DOI:
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发表时间:
1998
期刊:
影响因子:
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通讯作者:
J. Draayer
J. Draayer
中科院分区:
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文献类型:
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作者:
J. Escher;J. Draayer

文献摘要

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本文发展了核Sp(6,R)模型的费米子实现,它是对传统玻色子表示的补充.本文提出了一种递推方法,将任意一体费米子算符在相同或不同辛带的激发态N <$ω和N′ <$ω之间的辛矩阵元与价壳层矩阵元联系起来,用标准壳层模型方法计算。如此确定的矩阵元可用于计算可观测量,例如携带核波函数详细结构信息的电子散射形状因子。
A fermion realization of the nuclear Sp(6,R) model, which complements the traditional bosonic representation, is developed. A recursive process is presented in which symplectic matrix elements of arbitrary one-body fermion operators between states of excitation Nℏω and N′ℏω in the same or in different symplectic bands are related back to valence shell matrix elements, which can be evaluated by standard shell model techniques. Matrix elements so determined may be used to calculate observables such as electron scattering form factors which carry detailed structural information on nuclear wave functions.