NEARLY ELASTIC-SCATTERING AND THE TRAJECTORY APPROXIMATION

被引:26
作者
BURKE, K
GUMHALTER, B
LANGRETH, DC
机构
[1] INST FIZ SVELICILISTA,ZAGREB 41001,CROATIA
[2] RUTGERS UNIV,DEPT PHYS & ASTRON,PISCATAWAY,NJ 08855
来源
PHYSICAL REVIEW B | 1993年 / 47卷 / 19期
关键词
D O I
10.1103/PhysRevB.47.12852
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider the scattering of an incident particle by bosons. We assume the coupling is linear in the boson coordinates, but can be quite general in the incident particle coordinate. We show that when the final distribution is close to elastic, the independent-boson model applies to this problem. It yields a loss distribution which is simply the exponentiation of the first-order distorted-wave Born approximation (DWBA). Furthermore, we demonstrate that in this regime, for short wavelengths of the scattered particle, this exponentiated Born approximation reduces to the trajectory approximation (TA). Thus it includes both the DWBA and the TA as special cases. We also give a simple recipe for estimating the error this approximation makes. We illustrate these results on a simple one-dimensional model involving a single oscillator, and discuss their relation to previous studies of overlapping regimes. This approximation and accompanying error estimate should prove very useful in analyzing multiphonon effects in atom-surface scattering.
引用
收藏
页码:12852 / 12864
页数:13
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