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arxiv: 1402.0800 · v9 · pith:2WWLSBLEnew · submitted 2014-02-04 · ⚛️ nucl-th · physics.atm-clus· physics.atom-ph· quant-ph

More on Asymptotic behaviors of 9j Coefficients

classification ⚛️ nucl-th physics.atm-clusphysics.atom-phquant-ph
keywords alphaasymptoticbehaviorscalculationscertaincoefficientcoefficientsdecay
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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.

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