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A Study of the 2.8-keV Neutron Resonance of Sodium and an Analysis of the Total Neutron Cross Section up to 50 keV

Janet Seltzer, W. K. Firk

Open publisher page 5 citations

Abstract

The total neutron cross section of sodium has been measured in the vicinity of the 2.8-keV resonance with the high-resolution time-of-flight spectrometer associated with the Yale University 70-MeV Electron Linear Accelerator. The spin of the resonance is unambiguously identified to be J = 1. A least-squares analysis of the cross section has been carried out up to an energy of 50 keV using a model that takes into account the effects of local and distant levels. The observed total cross section is well described throughout the entire range with a spin-independent interaction radius of 5.8 fm and with reasonable values of the R functions (distant level effects) for both spin states. The resonance energy, the neutron width, and the effective nuclear radii derived from the analysis are, respectively, ER = 2805 ± 30 eV, ΓnR = 376 ± 15 eV, aJ =1 = 5.3 fm, and aJ=2(E) = 5.7 + [2 × 108/(E + 18500)2] fm.

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What this paper is about

The total neutron cross section of sodium has been measured in the vicinity of the 2.8-keV resonance with the high-resolution time-of-flight spectrometer associated with the Yale University 70-MeV Electron Linear Accelerator. The spin of the resonance is unambiguously identified to be J = 1. A least-squares analysis of the cross section has been carried out up to an energy of 50 keV using a model that takes into account the effects of local and distant levels. The observed total cross section is well described throughout the entire range with a spin-independent interaction radius of 5.8 fm and with reasonable values of the R functions (distant level effects) for both spin states. The resonance energy, the neutron width, and the effective nuclear radii derived from the analysis are, respectively, ER = 2805 ± 30 eV, ΓnR = 376 ± 15 eV, aJ =1 = 5.3 fm, and aJ=2(E) = 5.7 + [2 × 108/(E + 18500)2] fm.

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Available abstract

The total neutron cross section of sodium has been measured in the vicinity of the 2.8-keV resonance with the high-resolution time-of-flight spectrometer associated with the Yale University 70-MeV Electron Linear Accelerator. The spin of the resonance is unambiguously identified to be J = 1. A least-squares analysis of the cross section has been carried out up to an energy of 50 keV using a model that takes into account the effects of local and distant levels. The observed total cross section is well described throughout the entire range with a spin-independent interaction radius of 5.8 fm and with reasonable values of the R functions (distant level effects) for both spin states. The resonance energy, the neutron width, and the effective nuclear radii derived from the analysis are, respectively, ER = 2805 ± 30 eV, ΓnR = 376 ± 15 eV, aJ =1 = 5.3 fm, and aJ=2(E) = 5.7 + [2 × 108/(E + 18500)2] fm.

Key concepts: Neutron, Resonance (particle physics), Physics, Nuclear physics, RADIUS, Atomic physics, Cross section (physics), Spectrometer

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A Study of the 2.8-keV Neutron Resonance of Sodium and an Analysis of the Total Neutron Cross Section up to 50 keV — Research Paper | ScholarLens