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- W2022795994 abstract "In this paper we show that a system of three fermions is exactly solvable for the case of a single-$j$ in the presence of an angular momentum-$J$ pairing interaction. On the basis of the solutions for this system, we obtain new sum rules for six-$j$ symbols. When the Hamiltonian contains only an interaction between pairs of fermions coupled to spin $J={J}_{mathrm{max}}=2jensuremath{-}1$, the ``non-integer'' eigenvalues of three fermions with angular momentum $I$ around the maximum appear as ``non-integer'' eigenvalues of four fermions if $I$ is around (or larger than) ${J}_{mathrm{max}}$. This pattern is also found in five and six fermion systems. A boson system with spin $l$ exhibits a similar pattern." @default.
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- W2022795994 date "2004-09-21" @default.
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- W2022795994 title "Classification of states of single-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>j</mml:mi></mml:math>fermions with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>J</mml:mi></mml:math>-pairing interaction" @default.
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- W2022795994 doi "https://doi.org/10.1103/physrevc.70.034306" @default.
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