Prog. Theor. Phys. Supplement Extra Number (1968) pp. 489-494
Note on the Rotational States in Large Single j-Shell
Physics Department, Brookhaven National Laboratory, Upton, New York, U.S.A.
Department of Physics, State University of New York, Stony Brook, New York, U.S.A.
(Received November 25, 1968)
Providing j ≫1 and J ≪2j + 1, we prove that Hint = -(U(2) U(2)) - 3(U(1) U(1)) can commute approximately with U(2); [Hint, U(2)] ≃ 0.
This is the simplest explanation of why the rotational state comes out in a large single j-shell under the quadrupole-quadrupole interaction (U(2)U(2)).
DOI : 10.1143/PTPS.E68.489
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