Low Energy Proton-Deuteron Scattering with a Coulomb-Modified Faddeev Equation
نویسنده
چکیده
A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body breakup threshold. A formal derivation of the equation in a time-independent scattering theory is given. Numerical results for phase shift parameters are presented to be compared with those of another methods and results of the phase shift analysis. Differential cross sections and nucleon analyzing powers are calculated with the effects of three-nucleon forces, and these results are compared with recent experimental data. The difference between the nucleon analyzing power in proton-deuteron scattering and that in neutron-deuteron scattering is discussed.
منابع مشابه
Low Energy Proton-Deuteron Scattering with Exact Treatment of Coulomb Force
A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body breakup threshold. A formal derivation of the equation in a time-independent scattering theory is given. Numerical results for phase shift parameters are pres...
متن کاملFaddeev-type Calculations of Few-body Nuclear Reactions including Coulomb Interaction
The inclusion of the Coulomb interaction in the description of the three-particle scattering is a challenging task in theoretical few-body nuclear physics. Due to its long range, the Coulomb potential w(r) does not satisfy the mathematical properties required for the formulation of the standard scattering theory. There is a number of suggestions how to overcome this difficulty; most of them are...
متن کاملمحاسبه سطح مقطع پراکندگی تفکیک پروتون- دوترون در انرژیهای میانی
In this paper, we reformulate three-nucleon breakup scattering in leading order approximation by considering spin-isospin degrees of freedom. At first, considering the inhomogeneous part of Faddeev equation, which is a valid approximation in high and intermediate energles, we present the Faddeev equation as a function of vector Jacobi momenta and spin and isospin quantum numbers. In this new fo...
متن کاملLow Energy Proton-Deuteron Scattering in Configuration Space
A new method for solving the configuration-space Faddeev equations for elastic p-d scattering below the deuteron-breakup threshold is described. Numerical solutions that demonstrate the convergence and accuracy of the method are given. The number of channels and the value of the matching radius required to obtain an accurate solution are also investigated. It is shown that this method can be us...
متن کاملSpin observables in nucleon-deuteron scattering and three-nucleon forces
Three-nucleon forces, which compose an up-to-date subject in few-nucleon systems, provide a good account of the triton binding energy and the cross section minimum in proton-deuteron elastic scattering. However, three-nucleon forces do not explain spin observables such as the nucleon and deuteron analyzing powers, suggesting serious defects in their spin dependence. We study the spin structure ...
متن کامل