Short-range correlations in the three-body problem and the Faddeev equations
作者： A. Osman
DOI: 10.1016/0375-9474(70)90789-X
关键词: Gaussian 、 Binding energy 、 Range (mathematics) 、 Separable space 、 Classical mechanics 、 Continuous variable 、 Matrix (mathematics) 、 Three-body problem 、 Physics 、 Faddeev equations
摘要: Abstract For potentials containing repulsive cores, a separable expansion for the t -matrix is developed. The resulting Faddeev equations form set of coupled in one continuous variable. three-body binding energy calculated using Gaussian and attractive parts potential.
osti.gov
elsevier.com
sci-hub.se 参考文章(13)
A.N. Mitra, Three-body problem with separable potentials Nuclear Physics. ,vol. 32, pp. 529- 542 ,(1962) , 10.1016/0029-5582(62)90359-0
Steven Weinberg, Quasiparticles and the Born Series Physical Review. ,vol. 131, pp. 440- 460 ,(1963) , 10.1103/PHYSREV.131.440
T. Osborn, H. Pierre Noyes, Reduction of the Finite-Range Three-Body Problem in Two Variables Physical Review Letters. ,vol. 17, pp. 215- 218 ,(1966) , 10.1103/PHYSREVLETT.17.215
J.W. Humberston, R.L. Hall, T.A. Osborn, Bound states of three identical bosons Physics Letters B. ,vol. 27, pp. 195- 198 ,(1968) , 10.1016/0370-2693(68)90269-4
Manuel Rotenberg, Application of sturmian functions to the Schroedinger three-body problem: Elastic e+-H scattering Annals of Physics. ,vol. 19, pp. 262- 278 ,(1962) , 10.1016/0003-4916(62)90219-1
David Y. Wong, G. Zambotti, Separable Expansions of the Two-Body T Matrix for Local Potentials and Their Use in the Faddeev Equation Physical Review. ,vol. 154, pp. 1540- 1545 ,(1967) , 10.1103/PHYSREV.154.1540
C. Lovelace, Practical Theory of Three-Particle States. I. Nonrelativistic Physical Review. ,vol. 135, pp. B1225- B1249 ,(1964) , 10.1103/PHYSREV.135.B1225
James S. Ball, David Y. Wong, SOLUTIONS OF THE FADDEEV EQUATION FOR SHORT-RANGE LOCAL POTENTIALS. Physical Review. ,vol. 169, pp. 1362- 1365 ,(1968) , 10.1103/PHYSREV.169.1362
R. D. Amado, Soluble Problems in the Scattering from Compound Systems Physical Review. ,vol. 132, pp. 485- 494 ,(1963) , 10.1103/PHYSREV.132.485
A. Ahmadzadeh, J. A. Tjon, NEW REDUCTION OF THE FADDEEV EQUATIONS AND ITS APPLICATION TO THE PION AS A THREE-PARTICLE BOUND STATE Physical Review. ,vol. 139, pp. 1085- 1092 ,(1965) , 10.1103/PHYSREV.139.B1085