On Formal Scattering Theory for Differential Faddeev Equations
- 50 Downloads
The formal scattering theory is developed for the three-particle differential Faddeev equations. The theory is realised along the same line as in the standard two-body case. The solution of the scattering problem is expressed in terms of the matrix T-operator constructed from the matrix resolvent of the differential Faddeev equations. The relationships of the matrix T-operator with elements of transition operators and Faddeev T-matrix components have been established.
Mathematics Subject Classification81U10
The author would like to thank Dr. E. Yarevsky for valuable comments.
- 4.P. Noyes, H. Fideldey, Calculations of three-nucleon low-energy parameters, in Three-Particle Scattering in Quantum Mechanics (Proceedigs of the Texas A&M Conference), ed. by J. Gillespie, J. Nuttall (Benjamin, New York, 1968), p. 195294Google Scholar
- 6.Faddeev L.D., Mathematical Aspects of the Three-Body Problem in Quantum Mechanics, Israel Program for Sci. Transl., Jerusalem, (English trans.) (1965)Google Scholar
- 9.S.P. Merkur’ev, S.L. Yakovlev, Differential formulation of scattering problem for N bodies. Dans. Akad. Nauk (SSSR) 262, 591 (1982)Google Scholar