The observed preponderance of ground states with angular momentum L=0 in many-body quantum systems with random two-body interactions is analyzed in terms of correlation coefficients (covariances) among different eigenstates. It is shown that the geometric analysis of Chau can be interpreted in terms of correlations (covariances) between energy...
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April 25, 2017 (v1)PublicationUploaded on: March 27, 2023
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July 14, 2017 (v1)Publication
Transfer reactions constitute a stringent test for nuclear supersymmetry, a theory that simultaneously describes neighboring nuclei with bosonic and fermionic character. We construct and analytically evaluate one-nucleon transfer matrix elements between supersymmetric partners with the U( 6/4) case as an example, and stress the...
Uploaded on: December 4, 2022 -
May 23, 2017 (v1)Publication
We carry out a simple analysis of (n+3)-dimensional gravity in the context of recent work on 'large' supplementary dimensions and deduce a formula for the expected compactification radius for the n additional dimensions in the universe, as a function of the Planck and the electro-weak scales. We argue that the correspondingly modified...
Uploaded on: December 5, 2022 -
July 12, 2017 (v1)Publication
We carry out an interacting boson model study of the Ru isotopes using a U(5)-SO(6) transitional Hamiltonian with fixed parameters, where the variation is due only to the change in boson number N. Transitional behavior in 104Ru is compared with recent predictions of an E(5) critical symmetry, including a modified version with an...
Uploaded on: December 4, 2022 -
May 24, 2017 (v1)Publication
We present a new and consistent mapping of colorless three-quark clusters onto colorless triplet fermions (baryons) and test it in the context of a three-color extension of the Lipkin model. For systems with two triplets (for which the problem can be solved without approximation both before and after the mapping), we exactly reproduce the...
Uploaded on: March 27, 2023