NDLI: Two-Body T-Matrices Without Angular-Momentum Decomposition: Energy and Momentum Dependences

Content Provider	Springer Nature Link
Author	Elster, C. Thomas, J. H. Glöckle, W.
Copyright Year	1998
Abstract	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 behaviour 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 very characteristic properties in the vicinity of those poles, which are given by the Legendre function corresponding to the quantum number either of the bound state or the resonance (or virtual) state. This behaviour is illustrated along numerical examples.
Starting Page	55
Ending Page	79
Page Count	25
File Format	PDF
ISSN	01777963
Journal	Few-Body Systems
Volume Number	24
Issue Number	1
e-ISSN	14325411
Language	English
Publisher	Springer-Verlag
Publisher Date	1998-05-24
Publisher Place	Wien
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics

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Two-Body T-Matrices Without Angular-Momentum Decomposition: Energy and Momentum Dependences