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Updated: Aug 21, 2026

Site Directed Spin Labeling and EPR Spectroscopic Studies of Pentameric Ligand-Gated Ion Channels
Published on: July 4, 2016
Distribution of spectral widths and preponderance of spin-0 ground states in nuclei
T Papenbrock1, H A Weidenmüller
1Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA.
Abstract:
We use a single j-shell model with random two-body interactions to derive closed expressions for the distribution of and the correlations between spectral widths of different spins. This task is facilitated by introducing two-body operators whose squared spectral widths sum up to the squared spectral width of the random Hamiltonian. The spin-0 width is characterized by a relatively large average value and small fluctuations, while the width of maximum spin has the largest average and the largest fluctuations. The approximate proportionality between widths and spectral radii explains the preponderance of spin-0 ground states.
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