Abstract
The properties of F( ν), the one-dimensional analog of the Fourier transform of a certain two-particle correlation function of interest in the theory of muon capture by nuclei (as well as other situations), have been investigated for various models. The models consist of N independent particles in a one-dimensional box of finite size, and the models differ in the boundary conditions imposed at the edges of the box. The functions F( ν) for these models, for the infinite Fermi gas model and for a “finite Fermi gas” model are compared and found to differ substantially. As the number of particles in the box increases, the difference between F( ν) for each of the models and F( ν) for the infinite Fermi gas vanishes, but the magnitude (and sign) of this difference depends strongly upon the nuclear model. Because of the finite nuclear size, F( ν) must possess a power series expansion in ν 2, a property not shared by the infinite Fermi gas model, but the coefficient of ν 2 is again found to depend strongly upon the nuclear model.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call