Local phenomenological nucleon-nucleon potentials

Nowadays it has become customary in nuclear physics to denote by “tradition” the approach that considers nucleons and mesons as the relevant degrees of freedom. It is the purpose of this chapter to review this “traditional” approach in the area of nuclear forces and their applications to nuclear structure.

The Meson Theory of Nuclear Forces and Nuclear Structure

Two Nucleon Forces and Nuclear Matter

This review is concerned with nuclear reactions and nuclear elastic scattering in which the spin polarization of more than one of the reactants is measured. If both of the particles whose polarization is known are in the initial channel, or both in the final channel, we refer to a `spin correlation' experiment; if one polarized particle is in the initial and one is in the final channel, we refer to a `polarization transfer' experiment. We consider mainly particles with spin ? and with spin 1; to a minor extent higher spins are included. The state of the art with respect to the production of polarized beams and targets and with respect to polarization analysing devices is briefly reviewed. A considerable amount of space is devoted to the definitions of cartesian polarization transfer and spin correlation coefficients which are suitable for the description of reactions involving spin ? and spin 1 particles. These parameters are generalizations of the triple scattering and spin correlation parameters introduced by Wolfenstein for a description of nucleon-nucleon scattering. Finally, the experiments of these types so far performed are reviewed. Reactions involving photons are excluded, and the nucleon-nucleon problem is only briefly mentioned. This review was completed in March 1972.

http://iopscience.iop.org/article/10.1088/0034-4885/35/2/305/pdf

Polarization transfer and spin correlation experiments in nuclear physics.

Application of the Hyperspherical Formalism to the Trinucleon Bound State Problems

DETERMINATION OF THE NUCLEON--NUCLEON SCATTERING MATRIX. X. (p,p) AND (n,p) ANALYSIS FROM 1 TO 450 MeV.

Energy-dependent pion-nucleon phase-shift analysis

All of the available ($p,p$) scattering data from 1 to 400 MeV have been analyzed, and a self-consistent set of 839 data has been chosen. Using this data selection, we investigated a number of different forms for the phase-shift energy dependence. The correct number of free parameters to use with each form was studied. The most suitable form, form $A$, gave the least-squares values ${\ensuremath{\chi}}^{2}=810$ and ${\ensuremath{\chi}}^{2}=858$ for 30- and 23-parameter solutions, respectively. A subset of 588 data in six narrow energy bands was used to obtain single-energy solutions. It is shown that this subset contains most of the physical content of the full set of 839 data. The value ${g}^{2}=14.72\ifmmode\pm\else\textpm\fi{}0.83$ was obtained for the pion-nucleon coupling constant.

DETERMINATION OF THE NUCLEON--NUCLEON SCATTERING MATRIX. VII. (p,p) ANALYSIS FROM 0 TO 400 MeV.

Several sets of energy-dependent pion-nucleon phase shifts have been obtained in the 0-350-MeV energy range. These solutions differ near the end of the energy range and in the signs and magnitudes of some of the small phases. There is very little difference among these solutions in their prediction of the observables, including the spin-rotation parameters. Some very difficult experiments are suggested to distinguish among the solutions.

Robert M. Wright

Papers

DETERMINATION OF THE NUCLEON--NUCLEON SCATTERING MATRIX. X. (p,p) AND (n,p) ANALYSIS FROM 1 TO 450 MeV.

Energy-dependent pion-nucleon phase-shift analysis

DETERMINATION OF THE NUCLEON--NUCLEON SCATTERING MATRIX. VII. (p,p) ANALYSIS FROM 0 TO 400 MeV.

PION-NUCLEON PHASE-SHIFT ANALYSIS: 0-350 Mev.

Phase-Shift Analysis of High-Precision (p, p) Differential Cross-Section Data at 6.141, 8.097, and 9.918 MeV