标题： 少体库仑问题 显示英文标题

标题： The Few-Body Coulombian Problem

摘要： 综述了带电复合粒子散射治疗的最新进展。 在第一部分，我汇报了理论的发展情况。 具体而言，我描述了三体连续态中带电粒子波函数坐标空间渐近行为推导的近期完成工作。 这种知识正越来越多地被用于尝试“推导”用于整个构型空间的三库仑粒子波函数，这些波函数是薛定谔方程的解，虽然不是处处成立，但至少在一个或最好是在所有的渐近区域成立。 它们在离子化和破裂过程的近似计算中的实际应用也被指出。 渐近三体带电粒子波函数在研究三体库仑算符矩阵元的渐近性和解析性质方面找到了进一步的应用。 一个重要的例子是对于所有能量，光学势的大距离行为的非微扰推导。 在第二部分，我描述了重新尝试将少体方法确立为计算（高能）原子碰撞过程的有效工具的努力。 最后，我简要提及了最近成功实现的针对现实势的质子-氘核弹性散射超越破裂阈值的计算。 显示英文摘要

摘要： Recent advances in the treatment of scattering of charged composite particles are reviewed. In a first part I report on developments of the theory. Specifically I describe the recent completion of the derivation of the co-ordinate space asymptotic behaviour of the wave function for three charged particles in the continuum. This knowledge is increasingly being made use of in attempts to `derive' three-Coulomb particle wave functions to be used in all of configuration space which are solutions of the Schroedinger equation, though not everywhere but at least in one or preferably all of the asymptotic regions. Their practical application in approximate calculations of ionisation and breakup processes is pointed out. The asymptotic three-charged particle wave functions find further use in investigations of asymptotic and analytic properties of matrix elements of the three-body Coulomb resolvent. An important example is the nonperturbative derivation, valid for all energies, of the large-distance behaviour of the optical potential. In the second part I describe renewed attempts to establish the few-body approach as a valuable tool for calculating (energetic) atomic collision processes. At the end I briefly touch upon the recent successful above-breakup-threshold calculation of proton-deuteron elastic scattering for a realistic potential.