APPLICATION OF THE HYPERSPHERICAL FUNCTION METHOD TO THE CALCULATION OF THE TRITON BINDING ENERGY WITH REALISTIC TWO-NUCLEON POTENTIALS

Abstract

A number of calculations have been carried out to obtain the triton binding energy and wave function with realistic nucleon–nucleon forces. The discrepancies in the doublet scattering length, the Coulomb energy, and the minimum in the 3 He charge form factor can be removed with a potential that has a softer but larger core than the Hamada–Johnston potential. The triton binding energy is calculated with the SSC potential, the Reid SC potential, and an attractive Yukawa potential with tensor interaction. The singlet even and triplet even SSC potentials fit the two-nucleon phase shifts and effective range parameters. The quality of the fit corresponds to a x 2 of about 1.5. This chapter illustrates the binding energy of 3 H for a number of values of K max , and the contribution to the norm from the separate hyperspherical harmonics for K max =14 for the first three potentials and K max =10 for the last one. It describes the method of the K-harmonics to calculate the triton binding energy. Wave function can be used for realistic potentials too, but it takes much more trouble to get convergence than suggested by some physicists.