Three-nucleon bound states using realistic potential models

Three-nucleon bound states using realistic potential models

Realistic models of pion-exchange three-nucleon interactions

We present realistic models of pion-exchange three-nucleon interactions obtained by fitting the energies of all the 17 bound or narrow states of 3 ≤ A ≤ 8 nucleons, calculated with less than 2% error using the Green’s function Monte Carlo method. The models contain two-pion-exchange terms due to πN scattering in Sand P-waves, three-pion-exchange terms due to ring diagrams with one ∆ in the inte...

Of Bound and Scattering States of Three – Nucleon Systems

A variational technique to describe the ground and scattering states below the break–up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyper-spherical functions suitable to handle the large repulsion contained in the nuclear potential at short distances; three body forces have also been considered. The inclus...

A High-Precision Variational Approach to Three- and Four-Nucleon Bound and Zero-Energy Scattering States

The hyperspherical harmonic (HH) method has been widely applied in recent times to the study of the bound states, using the Rayleigh-Ritz variational principle, and of low-energy scattering processes, using the Kohn variational principle, of A = 3 and 4 nuclear systems. When the wave function of the system is expanded over a sufficiently large set of HH basis functions, containing or not correl...

Reworking the Tucson - Melbourne Three - Nucleon Potential ∗

We introduce new values of the strength constants (i.e., a, b, c, and d coefficients) of the Tucson-Melbourne (TM) 2π exchange three nucleon potential. The new values come from contemporary dispersion relation analyses of meson factory πN scattering data. We make variational Monte Carlo calculations of the triton with the original and updated three-body forces to study the effects of this updat...