APPROXIMATION METHOD FOR 3-BODY COLLISIONS

被引:49
作者
SLOAN, IH
机构
[1] Department of Applied Mathematics, University of New South Wales, Kensington, NSW
来源
PHYSICAL REVIEW | 1968年 / 165卷 / 05期
关键词
D O I
10.1103/PhysRev.165.1587
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new approximation for the three-body collision problem is described, which allows practical calculation of elastic, inelastic, rearrangement, and breakup amplitudes. The approximation is derived from a novel form of the Lovelace-Faddeev equations in which all two-body bound states appear explicitly. It appears in practice as a simple modification of the impulse-pickup approximation, and is expected to considerably extend the useful energy range of that approximation. It is shown that unitarity is satisfied within a certain approximation, and that the submatrix of the S matrix that excludes the breakup channel satisfies a unitary constraint. The symmetry requirements for identical particles can be treated rigorously, and lead to a practical simplification of the method. Numerical calculations of bound-state scattering in an exactly soluble model show encouraging results. © 1968 The American Physical Society.
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页码:1587 / &
相关论文
共 20 条
[1]   MODEL 3-BODY PROBLEM [J].
AARON, R ;
AMADO, RD ;
YAM, YY .
PHYSICAL REVIEW B, 1964, 136 (3B) :B650-&
[2]   DIVERGENCE OF GREENS FUNCTION SERIES FOR REARRANGEMENT COLLISIONS [J].
AARON, R ;
AMADO, RD ;
LEE, BW .
PHYSICAL REVIEW, 1961, 121 (01) :319-&
[3]   THE PRODUCTION OF FAST DEUTERONS IN HIGH ENERGY NUCLEAR REACTIONS [J].
CHEW, GF ;
GOLDBERGER, ML .
PHYSICAL REVIEW, 1950, 77 (04) :470-475
[4]   THE IMPULSE APPROXIMATION [J].
CHEW, GF ;
WICK, GC .
PHYSICAL REVIEW, 1952, 85 (04) :636-642
[5]   THE SCATTERING OF ELEMENTARY PARTICLES BY COMPLEX NUCLEI - A GENERALIZATION OF THE IMPULSE APPROXIMATION [J].
CHEW, GF ;
GOLDBERGER, ML .
PHYSICAL REVIEW, 1952, 87 (05) :778-782
[6]   THE INELASTIC SCATTERING OF HIGH ENERGY NEUTRONS BY DEUTERONS ACCORDING TO THE IMPULSE APPROXIMATION [J].
CHEW, GF .
PHYSICAL REVIEW, 1950, 80 (02) :196-202
[7]  
Faddeev L. D., 1960, ZH EKSP TEOR FIZ, V39, P1459
[8]  
FADDEEV LD, 1961, SOV PHYS JETP-USSR, V12, P1014
[9]   VARIATIONAL PRINCIPLES FOR SCATTERING PROCESSES .1. [J].
LIPPMANN, BA ;
SCHWINGER, J .
PHYSICAL REVIEW, 1950, 79 (03) :469-480
[10]   PRACTICAL THEORY OF 3-PARTICLE STATES .I. NONRELATIVISTIC [J].
LOVELACE, C .
PHYSICAL REVIEW B, 1964, 135 (5B) :1225-&