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投影后变分新方法对原子核低激发态的描述

Nuclear Physics Review(2018)

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Abstract
对我们近几年发展的投影后变分(VAP) 新方法做了比较全面的介绍.首先介绍了对JTA投影波函数的变分计算,指出自旋投影是获得很好壳模型近似的关键因素.基于这一结论,将VAP简化,并推广应用于所有晕态.即采用基于HF真空态的自旋投影波函数,通过变分,得到了与壳模型结果非常接近的VAP晕态能量及相应波函数.为进一步描述非晕态,依据柯西交错定理,可靠地对VAP 低激发态能量之和进行最小化.如果这些能量值之和达到极小值,则与该极小对应的各态也就被确定下来.通过VAP计算,所得原子核非晕态能量与壳模型精确值非常接近.最近,在VAP计算中加入宇称投影,在psd 模型空间中计算了12C的正负宇称晕态,同样得到了比较好的壳模型近似.值得指出的是,该方法具有普适性,可广泛应用于不同量子多体体系的低激发态研究中.
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Key words
Cauchy's interlacing theorem,variation after projection,low-lying states,shell model,USDB interaction
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