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讨论了量子多重内部反射方法(MIR方法),这是一种研究核反应的更准确的量子力学方法。对于一个原子核俘获α粒子的过程,MIR方法能够给出(1)α-核势的新参数;(2)新的熔合几率。基于MIR方法我们给出了这类过程的完整量子力学描述,考虑熔合几率后MIR方法能够显著地提高实验与理论的吻合度。具体研究了α+~(40)Ca和α+~(44)Ca两类反应,给出了新的核势参数核和熔合几率。对于第一个反应理论计算值与实验的偏离比其他计算结果减少了41.72倍,对于第二个反应减少了34.06倍。进一步,基于本工作熔合几率公式,给出了两类反应截面不同的原因,这是与中子幻数N=20附近的原子核基态的球形构型和形变构型共存导致的。为了更好地理解幻数N=26附近原子核的性质,预言了α+46Ca的反应截面。
The Quantum Multiple Internal Reflection method (MIR method) is discussed, which is a more accurate quantum mechanics method for studying nuclear reactions. For a nucleus to trap alpha particles, the MIR method can give (1) a new parameter for α-nuclear potential and (2) a new probability of fusion. Based on the MIR method, we give a complete quantum mechanical description of this kind of process. After considering the probability of fusion, the MIR method can significantly improve the coincidence of experiment and theory. The two types of reactions, α + ~ (40) Ca and α + ~ (44) Ca, are studied in detail, and new nuclear potential parameters and fusion probability are given. For the first reaction theory, the calculated deviation from the experiment is 41.72 times less than the other calculations and 34.06 times lower for the second reaction. Furthermore, two different types of reaction cross sections are given based on the formula of the fusion probability of the work, which is caused by the coexistence of the spherical configuration and the deformation configuration of the nuclear ground state near the neutron magic number N = 20. In order to better understand the nature of nuclei near the magic number N = 26, the reaction cross-section of α + 46Ca is predicted.