Precise study of three-nucleon systems within a representation without explicit use of the isospin formalism
AbstractA representation without explicit use of the isospin formalism is developed for the precisestudy of few-nucleon systems, and the advantages of the proposed approach are demonstrated.Using the example of three-nucleon systems with central exchange NN-interaction potentials ofthe general type, the complete equivalence is shown for the both approaches with and withoutthe isospin formalism. The new systems of equations contain a less number of components ascompared to the commonly used ones and are more suitable for precise study of few-nucleonsystems, inparticular, withinvariationalapproaches. Optimalvariational schemesaredevelopedwith Gaussian basis, and the binding energies, r.m.s. radii, density distributions, formfactors,and pair correlation functions are calculated with a high and controlled precision for 3 H and 3 He nuclei. PACS: 21.45.+v; 21.10.-k; 21.60.-n; 27.10.+h Keywords: Few-nucleon systems; Representation without isospin; Tree-nucleon bound states; Precisevariational method; Gaussian basis