Optical-Model-Family Ambiguity Resolved for He 3 Elastic Scattering from <mml:mi mathvariant…
1973; American Institute of Physics; Volume: 8; Issue: 1 Linguagem: Inglês
10.1103/physrevc.8.172
ISSN1538-4497
Autores Tópico(s)Radioactive Decay and Measurement Techniques
ResumoOptical-model fits with successive fixed values of real well depth $V$ to five angular distributions for $^{60}\mathrm{Ni}$($^{3}\mathrm{He}$, $^{3}\mathrm{He}$)$^{60}\mathrm{Ni}$ which include data to angles > 110\ifmmode^\circ\else\textdegree\fi{} for projectile energies between 29.6 and 71.1 MeV yield ${\ensuremath{\chi}}^{2}$ vs $V$ plots with a deep minimum at $V\ensuremath{\sim}130$ MeV for each data set. For the lower-energy data sets, other minima (parameter families) are observed at intervals above and below this value, but the higher-energy data sets (59.8 and 71.1 MeV) show only one unique family near $V=130$ MeV. The absence of the family ambiguity for the higher-energy data sets demonstrates the importance of both large-angle and high-energy data for the removal of optical-potential ambiguities. The normalized volume integral of the real potential at $V\ensuremath{\sim}130$ MeV is ${J}_{R}\ensuremath{\sim}330$ MeV ${\mathrm{fm}}^{3}$ for each data set, and ${J}_{R}$ changes by \ensuremath{\sim}100 MeV ${\mathrm{fm}}^{3}$ for successive families. The unambigious value of ${J}_{R}\ensuremath{\sim}330$ MeV ${\mathrm{fm}}^{3}$ for the higher-energy data sets and the near independence of ${J}_{R}$ on energy implies a similar unique value and corresponding unique family for the lower-energy data sets. This value of 330 MeV ${\mathrm{fm}}^{3}$ is somewhat lower than values of ${J}_{R}>400$ MeV ${\mathrm{fm}}^{3}$ suggested by earlier studies.
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