Zeros of 6-j symbols: Atoms, nuclei, and bosons

L. Zamick, S. J.Q. Robinson

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The absence of certain LS states in atoms leads to the vanishing of several 6-j symbols. One of these vanishing 6-j's explains the absence of a certain jj coupling state in a nucleus, while the other explains the vanishing of a certain state for a system of three bosons. This is part of a continuing study of "companion problems." It is noted that the vanishing 6-j's play an important role for establishing partial dynamical symmetries. Whenever possible we offer alternate explanations that do not involve 6-j symbols. Extensions to vanishing 9-j symbols are also shown. Regge symmetries help to make connections between different topics.

Original languageEnglish (US)
Article number044325
JournalPhysical Review C - Nuclear Physics
Issue number4
StatePublished - Oct 24 2011

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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