97. Quantum mechanical problem of three particle movement with short range interaction forces
✍ Scribed by G. Skornyakov; K. Ter-Martirosyan
- Publisher
- Elsevier Science
- Year
- 1956
- Weight
- 96 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0031-8914
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✦ Synopsis
The calculation of the deuteron disintegration in the Coulomb field of th~ nucleus can be accomplished in two limiting cases of "fast" and "slow" collisions.
In the former case the time-of-flight of the deuteron through the Coulomb field (at distances corresponding to the proton momentum transfer sufficient for disintegration) is small compared with the period of internal motion of the nucleons in the deuteron. This permits to develop a "ballistic" approximation at first neglecting the internal motion of the deuteron particles. Expressions are obtained for the total disintegration cross-section, neutron and proton energy distributions and the angular distribution of the resulting particles. In the limiting case of high energies the formulas agree with the corresponding formulas obtained by Dancoff using the perturbation method 1).
In the opposite limiting case of ,,slow" collisions the time-of-flight of the deuteron through the Coulomb field is large compared with the time of internal motion. In this case the disintegration is essentially a ,,pulling" of the proton out of the resting deuteron by the electrical field of the nucleus. The calculation is based on the adiabatic approximation. In the limiting case of very low energies the expressions obtained for the cross-sections agree with the results of Landau and Lifshitz.