Solving a relativistic quasipotential equation for a nonlocal separable interaction

2000 ◽  
Vol 63 (11) ◽  
pp. 1976-1982
Author(s):  
Yu. D. Chernichenko
Keyword(s):  
Quasipotential Equation ◽  
Separable Interaction

scholarly journals Covariant separable interaction for the neutron–proton system in – partial-wave state

2010 ◽  
Vol 848 (1-2) ◽  
pp. 75-91 ◽  
Author(s):  
S.G. Bondarenko ◽  
V.V. Burov ◽  
W.-Y. Pauchy Hwang ◽  
E.P. Rogochaya
Keyword(s):  
Partial Wave ◽  
Wave State ◽  
Separable Interaction

On the epsilon - 0 limit of the Lippmann-Schwinger-Low states

2004 ◽  
Vol 82 (12) ◽  
pp. 1085-1095
Author(s):  
V J Menon ◽  
Ritesh Kumar Dubey
Keyword(s):  
Hilbert Space ◽  
Projection Operator ◽  
State Vector ◽  
Resolvent Operator ◽  
Quantum Scattering ◽  
Scattering States ◽  
Nonlinear Relation ◽  
New Type ◽  
Transition Amplitudes ◽  
Separable Interaction

The Lippmann–Schwinger–Low (LSL) quantum scattering states involve a resolvent operator depending on an infinitesimal adiabatic parameter ε. We reexamine the LSL formalism by taking the ε → + 0 limit at the end of the analysis (rather than at the outset). It is found that the LSL state vector |ψ kL > does not coincide with the Schrödinger eigen vector in Hilbert space as a whole, and the pair |ψ nL >, |ψ kL > is mutually nonorthogonal if the energy En = Ek, n ≠ k. For this purpose we carefully use a new type of projection operator ηk, a novel nonlinear relation among transition amplitudes, and a separable interaction as illustration. PACS Nos.: 0.3.65.Nk, 0.3.80.+r

Contour integral representation of the on-shell T matrix

1988 ◽  
Vol 66 (9) ◽  
pp. 791-795
Author(s):  
Helmut Kröger
Keyword(s):  
Numerical Calculation ◽  
Integral Representation ◽  
Short Range ◽  
Reference Value ◽  
Potential Scattering ◽  
Contour Integral ◽  
Body System ◽  
T Matrix ◽  
Body Potential ◽  
Separable Interaction

We suggest a contour integral representation for the on-shell T matrix in nonrelativistic N-body potential scattering with strong short range interactions. Results of a numerical calculation in the two-body system using a short range separable interaction of the Yamaguchi type are presented and show fast convergence towards the reference value.

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