On the Normalization of the Bethe-Salpeter Wave Function in the Unequal-Mass Case by Means of the Stereographic Projection Method
- 1 February 1968
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 39 (2) , 453-459
- https://doi.org/10.1143/ptp.39.453
Abstract
The stereographic projection method, which was introduced by Cutkosky in solving the Bethe-Salpeter equation in the equal-mass case, is applied to solving the B-S equation in the case where the constituent particles have different masses. The solution thus obtained is expressed in a spectral representation, which enables us to calculate the norm of the B-S amplitude for arbitrary n-l-1 where n and l are the principal and the angular momentum quantum number. The solution coincides with that obtained by Nakanishi for n-l-1=0.1 and 2.Keywords
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