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The Theory of Nuclear Forces

Abstract

ACCORDING to the theory proposed by Yukawa1 the neutron-proton interaction is due to the exchange of a particle having the elementary charge either positive or negative and a mass where h and c are Plancks constant and the velocity of light and is the range of nuclear forces. The proper description of these new particles, which have spin equal to one and obey Bose statistics, is obtained by quantization of the equations of Proca2. Introducing a complex four vector with components Uµ (µ = 1, 2, 3, 4) and a complex antisymmetrical world tensor with components?µv (µ,v = 1, 2, 3, 4) these equations can be written where = (x, y, z, ct) are the space-time coordinates and? is the universal constant determining the range of the forces. Similar equations hold for the conjugate complex quantities and.

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References

  1. Yukawa, Proc. Phys. Math. Soc. Japan, 17, 48 (1935). Yukawa, Sakata, Taketani, ibid., 20 (1938). Kemmer, NATURE, 141, 116 (1938). Bhabha, ibid., 141, 117 (1938). Fröhlich, Heitler, Kemmer, Proc. Roy. Soc., 166, 154 (1938).

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  2. Proca, J. Phys., 7, 532 (1936).

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  3. Yukawa, loc. cit. Bhabha, loc. cit.

  4. Landau and Peierls, Z. Phys., 62, 188 (1930). Pauli, ibid., 80, 573 (1933).

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MØLLER, C. The Theory of Nuclear Forces. Nature 142, 290–291 (1938). https://doi.org/10.1038/142290b0

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