Theoretical investigation of the three-nucleon system
Abstract
In the first part of the thesis, we calculate the charge form factors and root-mean square charge radii of $\sp3$He and $\sp3$H using the wave functions generated from the solutions of the Faddeev equation with the new Bonn nucleon-nucleon potential. For the charge radii, we obtain r$\sb{\rm c}\sp{\sp3\rm H}$ = 1.72 fm and r$\sb{\rm c}\sp{\sp3\rm He}$ = 1.89 fm which are in excellent agreement with the experimental data. However, our results for the trinucleon charge form factors using the impulse approximation yield no improvement when compared with the experimental situation. In the second part of the thesis, we calculate the scaling function of $\sp3$He based on the West approach. For large y, our results show drastic sensitivity of both the scaling function and the nucleon momentum density function to high partial-wave state components of the three-body wave function and this makes comparison with experimental data very difficult. However, for small y, the theoretical scaling function agrees well with the data. In future theoretical study, it is most urgent to establish the convergence of the scaling function as a function of three-body partial-wave states. In the last part of the thesis, we investigate the extent of charge-symmetry breaking in elastic pion scattering from $\sp3$He and $\sp3$H due to the Coulomb force using an optical potential. Our calculated cross sections agree well with the data of Nefkens et al. and Kallne et al., indicating that the observed charge-symmetry violation is mostly due to direct Coulomb effects.
Degree
Ph.D.
Advisors
Kim, Purdue University.
Subject Area
Nuclear physics
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