The effective range of nuclear forces 2. photo-disintegration of the deuteron
Mar, 19508 pages
Published in:
- Phys.Rev. 77 (1950) 647-654
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Abstract: (APS)
The theory of the effective range is applied to the photo-disintegration of the deuteron. For the photoelectric effect, the only important influence of the range is through the normalization of the ground state wave function. We find that this is given by an energy-independent factor ((1−γr0t)−1, where r0t is the effective range of the forces in the triplet state, and γ is related to the binding energy of the deuteron. With the most likely experimental constants, this factor is 1.58, irrespective of the shape of the nuclear potential.
In the photomagnetic case, the effect of the range on the matrix element nearly compensates that on the normalization. The cross section is thus nearly the same as for zero range of the forces. However, the cross section is sensitive to the difference of the effective ranges for triplet and singlet state, and can thus be used to determine the latter (r0s). The capture of slow neutrons by protons gives r0s≈2.6±0.6×10−13 cm, in good agreement with the proton-proton scattering results.
In the last section, we show that the effect of tensor forces is unimportant.References(14)
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