Isotopically resolved neutron total cross sections at intermediate energies

Abstract

The neutron total cross sections ${\sigma }_{tot}$ of ${}^{16,18}$O, ${}^{58,64}$Ni, ${}^{103}$Rh, and ${}^{112,124}$Sn have been measured at the Los Alamos Neutron Science Center (LANSCE) from low to intermediate energies (3 $\le E_{lab}\le$ 450 MeV) by leveraging waveform-digitizer technology. The ${\sigma }_{tot}$ relative differences between isotopes are presented, revealing additional information about the isovector components needed for an accurate optical-model description away from stability. Digitizer-enabled ${\sigma }_{tot}$-measurement techniques are discussed and a series of uncertainty-quantified dispersive optical model (DOM) analyses using these new data is presented, validating the use of the DOM for modeling light systems (${}^{16,18}$O) and systems with open neutron shells (${}^{58,64}$Ni and ${}^{112,124}$Sn). The valence-nucleon spectroscopic factors extracted for each isotope reaffirm the usefulness of high-energy proton reaction cross sections for characterizing depletion from the mean-field expectation.

arXiv comment28 pages, 20 figures

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• Reexamining the relation between the binding energy of finite nuclei and the equation of state of infinite nuclear matter
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• Green's Function Knockout Formalism
• Cross sections for neutron-induced reactions from surrogate data: revisiting the Weisskopf-Ewing approximation for $(n,n^{\prime })$ and $(n,2n)$ reactions
• First application of Markov Chain Monte Carlo-based Bayesian data analysis to the Doppler-Shift Attenuation Method
• First application of dispersive optical model to ($p$,$2p$) analysis within distorted wave impulse approximation framework
• Ultraviolet suppression and nonlocality in optical model potentials for nucleon-nucleus scattering
• Investigating the weak charge of ${}^{48}$Ca using a dispersive optical model