Consistency of nucleon-transfer sum rules in well-deformed nuclei

Abstract

Nucleon-transfer sum rules have been assessed via a consistent reanalysis of cross-section data from neutron-adding ($d$,$p$) and -removing ($d$,$t$) reactions on well-deformed isotopes of Gd, Dy, Er, Yb, and W, with $92\le N\le 108$, studied at the Niels Bohr Institute in the 1960s and 1970s. These are complemented by new measurements of cross sections using the ($d$,$p$), ($d$,$t$), and ($p$,$d$) reactions on a subset of these nuclei. The sum rules, defined in a Nilsson-model framework, are remarkably consistent. A single overall normalization is used in the analysis, which appears to be sensitive to assumptions about the reaction mechanism, and in the case of sums using the ($d$,$t$) reaction, differs from values determined from reactions on spherical systems.

arXiv comment7 pages, 4 figures

References in corpus (5)

• An accurate nucleon-nucleon potential with charge-independence breaking
• A consistent analysis of (e,e'p) and (d,3He) experiments
• Quantum Monte Carlo calculations of spectroscopic overlaps in $A\le 7$ nuclei
• An experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double β decay in 100Mo
• Analysis of Spectroscopic Factors in 11Be and 12Be in the Nilsson Strong Coupling Limit

Cited by in corpus (2)

• The complete quantification of parametric uncertainties in (d,p) transfer reactions
• Considering non-locality in the optical potentials within eikonal models