基于高斯局域势相函数法的α - α弹性散射相移分析

Anil Khachi, O. Sastri, L R Amruth Kumar, Aditi Sharma
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引用次数: 3

摘要

用双参数高斯局域势对α- α散射的相移进行了建模。采用蒙特卡罗方法对时间无关的薛定谔方程(TISE)进行了迭代求解,直到数值解的S和D束缚态与实验结合能数据在变分意义上相匹配。利用相函数法(PFM)的非线性一阶微分方程,将得到的具有最佳拟合参数的电势作为确定S通道相移的输入。采用五阶龙格-库塔(RK-5)技术对其进行了数值求解。利用变分蒙特卡罗(VMC)方法确定了反演电位参数,以使实验数据的相对均方误差最小。
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Phase Shift Analysis for Alpha-alpha Elastic Scattering using Phase Function Method for Gaussian Local Potential
The phase shifts for α- α scattering have been modeled using a two parameter Gaussian local potential. The time independent Schrodinger equation (TISE) has been solved iteratively using Monte-Carlo approach till the S and D bound states of the numerical solution match with the experimental binding energy data in a variational sense. The obtained potential with best fit parameters is taken as input for determining the phase-shifts for the S channel using the non-linear first order differential equation of the phase function method (PFM). It is numerically solved using 5th order Runge-Kutta (RK-5) technique. To determine the phase shifts for the ℓ=2 and 4 scattering state i.e. D and G-channel, the inversion potential parameters have been determined using variational Monte-Carlo (VMC) approach to minimize the realtive mean square error w.r.t. the experimental data.
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