标题： O(4)展开的梯子型Bethe-Salpeter方程 显示英文标题

标题： O(4) Expansion of the ladder Bethe-Salpeter equation

摘要： Bethe-Salpeter振幅在超球面基组上展开，从而将原来的四维积分方程约化为无穷多个耦合的一维积分方程。 结果表明，这种表示方法提供了一种数值求解束缚态解的高精度方法。 对于一般情况，无论是基态还是径向或轨道激发态，只需少数几个超球面波即可实现收敛。 对于几种情况重构了波函数，特别是表明在非相对论极限下它变得与相对时间无关。 显示英文摘要

摘要： The Bethe-Salpeter amplitude is expanded on a hyperspherical basis, thereby reducing the original 4-dimensional integral equation into an infinite set of coupled 1-dimensional ones. It is shown that this representation offers a highly accurate method to determine numerically the bound state solutions. For generic cases only a few hyperspherical waves are needed to achieve convergence, both for the ground state as well as for radially or orbitally excited states. The wave function is reconstructed for several cases and in particular it is shown that it becomes independent of the relative time in the nonrelativistic regime.