Author
Malcolm H. MacGregor
Other affiliations: University of California, Berkeley
Bio: Malcolm H. MacGregor is an academic researcher from Lawrence Livermore National Laboratory. The author has contributed to research in topics: Nucleon & Scattering. The author has an hindex of 14, co-authored 27 publications receiving 928 citations. Previous affiliations of Malcolm H. MacGregor include University of California, Berkeley.
Topics: Nucleon, Scattering, Neutron, Neutron temperature, Nuclear cross section
Papers
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295 citations
TL;DR: A survey of literature pertaining to nucleonnucleon scattering experiments and their phenomenological analyses can be found in this article, where a general formalism is described for the description and analysis of the experiments, especially of polarization, triple-scattering, and correlation.
Abstract: A survey was made of literature pertaining to nucleonnucleon scattering experiments and their phenomenological analyses. A general formalism is described for the description and analysis of the experiments, especially of polarization, triple-scattering, and correlation. Data are collected and presented in graphical and tabular forms. The phenomenological analysis is described with reference to effective-range formalisms and phase-shift analysis. 254 references. (B.O.G.)
87 citations
TL;DR: In this article, the phase shift energy dependence was investigated in a set of 839 data from 1 to 400 MeV scattering data and the most suitable form, form $A, gave the least-squares values for 30-and 23-parameter solutions.
Abstract: All of the available ($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.
70 citations
TL;DR: In this article, nonelastic neutron cross sections for 23 elements have been measured at 142 Mev by means of the sphere transmission technique and corrections have been applied to the data, principally for elastic energy loss, multiple scattering, and finite detector size.
Abstract: Nonelastic neutron cross sections for 23 elements have been measured at 142 Mev by means of the sphere transmission technique Corrections have been applied to the data, principally for elastic energy loss, multiple scattering, and finite detector size The results are compared with predictions of the optical model
67 citations
TL;DR: In this article, phase-shift energy derivatives were extracted from this analysis and used in carrying out accurate energy independent analyses, which were further substantiation of the charge independence hypothesis, and a discussion is also included of the use of the inverse error matrix in obtaining quantitative fits with theoretical models, and it is shown how the data normalization constants can be eliminated from the search.
Abstract: ($p, p$) and ($n, p$) scattering data in six energy bands centered at 25, 50, 95, 142, 210, and 330 MeV, have been analyzed. First an energy-dependent analysis was carried out. Then phase-shift energy derivatives were extracted from this analysis and used in carrying out accurate energy-independent analyses. The energy-dependent phase-shift forms were chosen to have a singularity structure consistent with the requirements of partial-wave dispersion equations. A very rapid search procedure was utilized. The isotopic spin-1 scattering matrix was accurately determined over the energy range under consideration. The isotopic spin-0 scattering matrix was also determined, but not to the same accuracy, because of the incompleteness of the ($n, p$) data selection. The phase-shift analyses were carried out, and the pion-nucleon coupling constant ${g}^{2}$ was determined, using first ($p, p$) and then ($p, p$) plus ($n, p$) data selections. The results were a further substantiation of the charge independence hypothesis. Matrix methods used for the search procedures are discussed, and it is shown how the data normalization constants can be eliminated from the search. A discussion is also included of the use of the inverse error matrix in obtaining quantitative fits with theoretical models.
65 citations
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TL;DR: Hard (infinitely hard) and soft (Yukawa) core potentials have been fit to Yale and Livermore phase parameters and low-energy data as discussed by the authors, and it is found that neither the short-range behavior of the potentials nor the central-to-tensor ratio in the 3 S 1 - 3 D 1 state is well determined by the data.
1,818 citations
1,525 citations
TL;DR: The purpose of this chapter is to review this “traditional” approach in the area of nuclear forces and their applications to nuclear structure.
Abstract: 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.
1,049 citations
TL;DR: In this article, an energy independent nucleon-nucleon potential model was proposed to represent the n-p data in a satisfactory manner for the first time, and the phase shifts predicted by the model were in fair agreement with the solutions YLAM ( T = 1) and YLAN3M (T = 0) recently found by the Yale group.
821 citations
TL;DR: In this article, an effective local interaction for inelastic scattering is derived by fitting the matrix elements of a sum of Yukawas and, for the tensor force, other closely related forms, to three selected sets of G-matrix elements.
790 citations