Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1997-08-09
Few Body Syst. 24 (1998) 55-79
Physics
Nuclear Physics
Nuclear Theory
19 pages (revtex), 15 figures
Scientific paper
10.1007/s006010050076
The two-body t-matrix is calculated directly as function of two vector momenta for different Malfliet-Tjon type potentials. At a few hundred MeV projectile energy the total amplitude is quite a smooth function showing only a strong peak in forward direction. In contrast the corresponding partial wave contributions, whose number increases with increasing energy, become more and more oscillatory with increasing energy. The angular and momentum dependence of the full amplitude is studied and displayed on as well as off the energy shell as function of positive and negative energies. The behavior of the t-matrix in the vicinity of bound state poles and resonance poles in the second energy sheet is studied. It is found that the angular dependence of T exhibits a very characteristic behavior in the vicinity of those poles, which is given by the Legendre function corresponding to the quantum number either of the bound state or the resonance (or virtual) state. This behavior is illustrated with numerical examples.
J. H. .Thomas
Elster Ch.
Gloeckle Walter
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