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Calculation of oscillator matrix elements directly from the nucleon-nucleon phase shifts
Ist Teil von
Nuclear physics. A, 1970-01, Vol.155 (2), p.465-479
Ort / Verlag
Elsevier B.V
Erscheinungsjahr
1970
Link zum Volltext
Quelle
Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)
Beschreibungen/Notizen
A method is derived and applied for the calculation of the oscillator matrix elements directly from the nucleon-nucleon phase shifts. It is an extension of the Distorted Wave Born Approximation (DWBA) method of Elliott: The Elliott method is restricted to the use of a cut-off oscillator potential as a first-order approximation to the realistic nucleon-nucleon interaction. Since the input into this method consists only of the nucleon-nucleon phase shifts (on-energy-shell data) and this unrealistic auxiliary potential one expects and gets poor results for the off-shell elements. Here we avoid the short-comings of the Elliott method by a procedure which allows that more realistic auxiliary potentials can be used. The connection between the radial wave functions of the respective auxiliary potentials and the oscillator wave functions is established by an integral equation. The DWBA corrected oscillator matrix elements for the Eikemeier-Hackenbroich and the Orsay potential as auxiliary potentials are tabulated for the oscillator lengths
b = 1.4 (0.2) 2.4 fm.