More on Asymptotic behaviors of 9j Coefficients
Nuclear Theory
2015-06-18 v9 Atomic and Molecular Clusters
Atomic Physics
Quantum Physics
Abstract
Previouslywe noted in numerical calculations that a certain unitary ninej coefficient U9j =((jj)^{2j} (jj)^{2j} | (jj)^{2j} (jj) ^{(2j-2)})^{I} decreases with increasing j and for small I the decrease is of the form C j^{m} e^{-\alpha j} . The exponential decay dominates. It is here shown that \alpha = 4 ln(2) and m=3/2.
Keywords
Cite
@article{arxiv.1402.0800,
title = {More on Asymptotic behaviors of 9j Coefficients},
author = {Brian Kleszyk and Larry Zamick},
journal= {arXiv preprint arXiv:1402.0800},
year = {2015}
}