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Study of p+He3 and n+H3 Systems with the Resonating-Group Method

I. Reichstein*, D. R. Thompson, and Y. C. Tang

  • School of Physics, University of Minnesota, Minneapolis, Minnesota 55455

  • *Present address: Physics Department, Indiana University, Bloomington, Indiana
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Phys. Rev. C 3, 2139 – Published 1 June, 1971

DOI: https://doi.org/10.1103/PhysRevC.3.2139

Abstract

The p+He3 and n+H3 systems are considered with the resonating-group method in the one-channel approximation. A purely central nucleon-nucleon potential which has different ranges in the singlet and triplet states is employed. The internal wave function of the three-nucleon cluster is a sum of two Gaussian functions, with its parameters adjusted to reproduce quite well the properties of the cluster. From the results obtained it is found that the agreement with experiment is quite satisfactory, although in the very low-energy region, detailed fit is not obtained, which is most probably due to the omission of the specific distortion effect in our calculation. An effective interaction between the clusters is also constructed. From this effective interaction it is concluded that the requirement of antisymmetry for the total wave function is very important. In particular, it creates an odd-even feature, wherein the effective potentials in the odd-l and even-l states are quite different.

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References (22)

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Phys. Rev. C 3, 2139– Published 1 June, 1971
  • Received 14 December 1970

© 1971 American Physical Society

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