Nature 166, 907 - 908 (25 November 1950); doi:10.1038/166907a0

Static Meson Potentials and the Deuteron Problem

P. V. GROSJEAN

Institut Météorologique du Congo Belge, Léopoldville. July 5.

THE static potential of interaction between two nucleons predicted by meson theory¹ has the general form (r) is here the Yukawa central potential; D the dipole axial operator; J and F two constants depending on the source parameters. The r ^-3 singularity of this potential must be removed by some arbitrary cut-off procedure. We have investigated the ground-state solution of the deuteron equations for such a potential, using the 'zero cut-off' introduced by Bethe², for the two values 225 m and 284 m of the meson mass, and a number of numerical values of the constants J and F. In each case the value 2.24 MeV. of the binding energy of the deuteron was assumed, and the amount P of D-state, the quadrupole moment Q and the cut-off radius r _c were determined.

1. Rosenfeld, L. , "Nuclear Forces", 334 (Amsterdam, 1948).
2. Bethe, H. , Phys. Rev., 57, 260, 290 (1940). | Article | ChemPort |
3. Rosenfeld, L. , loc. cit., p. 79.
4. Rosenfeld, L. , loc. cit., p. 88.
5. Møller, C. , and Rosenfeld, L. , Det. Kgl. Vid. Selsk. mat.-fysiske Medd., 17, No. 8 (1940).