Asymptotics of the 3j and 9j Coefficients
In this work we present the details of calculations we previously performed for the large j behavior of certain 3j and coefficients. We compare exact and asymptotic expressions.
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Publications and source records attributed to Brian Kleszyk.
In this work we present the details of calculations we previously performed for the large j behavior of certain 3j and coefficients. We compare exact and asymptotic expressions.
We examine the consequences of using a surface delta interaction to obtain the nuclear magnetic dipole g factors for 86Kr in a 2 proton hole model space. We find that the g factors of lowest the 2+ and 4+ states are equal to one, or more properly gl. The inclusion of a spin-orbit interaction is also discussed. Comparisons are made with large space calculations.
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^{-αj} . The exponential decay dominates. It is here shown that α= 4 ln(2) and m=3/2.
We consider the behaviors of selected unitary 9 coefficients in the large j limit.