One-particle resonant levels in a deformed potential

One-particle resonant levels in a deformed potential
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DOI:
10.1103/physrevc.72.024301
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发表时间:
2005-08
期刊:
影响因子:
3.1
通讯作者:
I. Hamamoto
I. Hamamoto
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
I. Hamamoto

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(S)在适当的渐近边界条件下,在坐标空间中求解薛定谔方程,研究了Y-20形变Woods-Saxon势中的中子单粒子共振能级。这些共振能级是单粒子束缚能级到连续谱的自然延伸,并根据本征相位定义。对于Ω(π)不等于1/2(+)的单粒子束缚能级,在小的正能量下,总是可以找到相应的单粒子共振能级。对于Omega(pi)=1/2(+)的单粒子束缚能级,当我们使用具有实际扩散尺寸的变形势时,相应的单粒子共振能级要么不存在,要么随着能量的增加而迅速消失。利用一个没有自旋轨道势的简化模型进一步研究了可能存在的Omega(pi)=1/2(+)单粒子共振能级,其中波函数中的π =0分量起着至关重要的作用。(减)
(S)olving the Schrodinger equation in coordinate space with the appropriate asymptotic boundary conditions, neutron one-particle resonant levels in Y-20-deformed Woods-Saxon potentials are studied. These resonance levels are the natural extension of one-particle bound levels to the continuum and are defined in terms of eigenphase. For one-particle bound levels with Omega(pi)not equal 1/2(+) the corresponding one-particle resonant levels can be always found for small positive energies. For one-particle bound levels with Omega(pi)=1/2(+) the corresponding one-particle resonant levels are either absent or disappearing quickly as energy increases, when we use well-deformed potentials with a realistic size of diffuseness. The possible presence of Omega(pi)=1/2(+) one-particle resonant levels, in which epsilon=0 components in the wave functions play a crucial role, is further studied using a simplified model without spin-orbit potential. (Less)