The Modified CHHE-MRT Method in Few-Body System

Based on the continuum hyperspherical harmonics expansion momentum rep-resentation transformation(CHHE-MRT)method,a new approach is proposed to cal-culate the matrix elements of any forms of potential.By introducing the modifiedCHHE-MRT function,the 3N dimensional Bessel oscillatory integral appearing in po-tential calculation can be reduced to 3M dimension(N≥M).The method presentedhere can be used not only for bound stute but also for scattering state in few-body sys-tem.

用CHHE-MRT方法研究3-α集团基态

本文用CHHE-MRT方法研究了3-α集团的基态。给出了3-α束缚态二体T矩阵和三体超径向波函数的公式,并分别用高斯势、汤川势和指数势计算了3-α集团(^(12)C)基态的解。计算虽然只取K=0,2近似,算得的结合能仍与实验值比较符合。

CHHE-MRT方法及其在三体问题中的应用

本文在Dzhibuti的三体问题“Hybrid”方法的基础上,提出了“CHHE-MRT”方法,克服了“Hybrid”方法中所遇到的振荡的Bessel函数无穷积分的困难,使“Hybrid”方法可以很方便地使用Gauss势、指数势及Yukawa势研究三体束缚态问题以及散射态问题。