Low-Energy Properties of RealisticN−NOne-Boson-Exchange Potentials

Abstract

We examine the low-energy features of the N-N interaction, as described by three realistic one-bosonexchange potential models. These models are the Green-Sawada two-parameter model, the Bryan-Scott III model, and the Ueda-Green I model. We calculate the deuteron binding energy, wave functions, magnetic and quadrupole moments, effective range, and electromagnetic form factors. Where possible, these quantities are compared with the experimental data.

The nucleon momentum and density distribution of the 4He nucleus using the Morse potential

“…We note that some preliminary results by fitting the charge form factor of 4 He (calculated with the Morse potential) to older experimental data have also been reported in ref. [9].…”

“…It is more natural to expect that there is a repulsion in the single particle potential near the origin, as for example relativistic Hartree calculations indicate, but not with an infinite behaviour near the origin. Thus, a potential of the Morse type [6][7][8][9][10][11][12] which, as is well known, has many applications in Physics, might be appropriate as a first approximation to the single-particle potential of a light nucleus. The disadvantage is that the Schrödinger eigenvalue problem can be solved analytically only for the s-states for this potential.…”

The form factor and the density distribution of the 4He nucleus using the Morse potential

“…It is more natural to expect that there is a repulsion in the single-particle potential near the origin, as for example relativistic Hartree calculations indicate, but not with an infinite behaviour near the origin. Thus, a potential of the Morse type [6][7][8][9][10][11][12] which, as is well known, has many applications in Physics, seems to be a rather good candidate for the single-particle potential of a light nucleus. In fact the first preliminary work in using the Morse potential in calculating the form factor of 4 He was made in ref.…”

“…In fact the first preliminary work in using the Morse potential in calculating the form factor of 4 He was made in ref. [9]. The disadvantage is that the Schrödinger eigenvalue problem can be solved analytically only for the s-states for this potential.…”

“…The object of this paper is to report on our first results in using the Morse potential in calculating the charge form factor of 4 He by further extending the work of ref. [9]. In a subsequent investigation improvements will be made and also the interesting problem of the calculation of the momentum distribution will be discussed.…”