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Kinematics of a cascade decay for the precision measurement of 29\rm Si binding energy

2011/09/09 by Yongkyu Ko, Ko, Yongkyu, K. S. Kim +1
Physics and Astronomy · #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-ex #nucl-th

paper · pdf · doi:10.48550/arxiv.1109.1942

12 pages

openalex publication_date 2011/09/09 · arxiv created 2013/06/27 · arxiv updated 2013/06/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Comparison of a Penning trap and a flat-crystal spectrometer experiments gives a direct test of E=mc2. The result is 1-Δmc2/E =(-1.4 ± 4.4) × 10-7 for 29\rm Si and 33\rm S. The dominant uncertainty is on the γ-ray measurement in neutron capture reactions, and the secondary γ-ray has the uncertainty 4.0 eV for 29\rm Si. We calculated the Doppler effect of the secondary γ-ray as -646.9 cos θ eV from the relativistic energy momentum relation of the 28\rm Si(n,γ)29\rm Si reaction. This corresponds to the full wave of half maximum of 431.3 eV. The error 4.0 eV comes mainly from the Bragg angle measurement between the centroids of the linewidths which means that only the most probable part of the whole data has been considered. It is necessary to confirm the assumption of the isotropy for the object to measure. We discussed a coincidence measurement as one of the methods to overcome the assumption.

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