A Variational Calculation on the n-d Syatem : An Extended Resonating-Group Method

概要

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A variational principle of Kohn-type is derived for elastic n-d scattering below and above deuteron-breakup in the framework of the Faddeev equations. The two-body central local potential is assumed. Applying this principle. we evaluate the s-wave phase shift of elastic n-d scattering and the triton binding energy. Introducing a pair correlation function in the trial function, we obtain equations of an extended resonating-group structure. As an illustration, these equations are solved for a Gaussian potential. It is found that for incident energers below 15 MeV, the results of the usual resonating-group model are much improved in the doublet state and the empirical effective range formula for this state is well reproduced. The interaction mechanisms of low-energy n-d scattering are also visualized in a simple manner.
理論物理学刊行会の論文
1980-07-25