de Azevedo Pinheiro Martins, Pedro; (1965) Interaction between K-mesons and light nuclei. Doctoral thesis (Ph.D), UCL (University College London).

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Abstract

The three-body K d interactions at low kaon-lab momenta (100-300 MeV/c) are expressed in terms of two body interactions (KN and NN) by means of the Impulse Approximation method, including multiple scattering terms. The KN S-waves are derived from Ross-Humphrey’s solution I and II of scattering lengths. The NN wave functions for the np and pp continuous states calculated from the NN phase shifts obtained by Breit and co-workers (1962). K d elastic, inelastic and charge-exchange cross-sections, both total and differential, are calculated for Ross-Humphrey’s solution I and II. A not very successful attempt has been made of calculating independently the K d absorption cross-sections. To achieve this, the resonant group structure method was used, combined with KN complex Yukawa potentials, calculated from the Ross-Humphrey’s sets of scattering lengths by means of a variational principle (Schwinger’s and Hulthèn’s). The limitations of this method are discussed. Coulomb effects and K~K° mass difference are taken into account. However, no attempt was made of including in the calculations the virtual charge-exchange processes in the multiple scattering terms, although a method to achieve this is developed. An analysis of the numerical results is made in the light of other theoretical works on the same subject and the scant K~d experimental data. The conclusion is reached that it is very likely that the calculated K~d charge-exchange cross-sections have the correct values, in spite of the inadequacy of Ross-Humphrey’s parameters. K+d elastic, inelastic and charge-exchange cross-sections are also calculated in the same kaon-lab momenta range. The probability conservation of total flux is checked.

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