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The role of hexadecapole correlations in the lowest superdeformed band of$^{194}$Hg is studied by self consistent mean field methods. The generatorcoordinate method with particle number projection has been applied usingHartree-Fock wave functions defined along three different hexadecapole paths.In all cases, the ground state is not significantly affected by hexadecapolecorrelations and the energies of the corresponding first excited hexadecapolevibrational states lie high in energy. The effect of rotation is investigatedwith the Skyrme-Hartree-Fock-Bogolyubov method and a zero rangedensity-dependent pairing interaction.Comment: REVTeX file, 10 pages, 3 figures (available as postscript files upon  request to magiersk@dingo.if.pw.edu.pl), submitted to Phys. Rev.

physical review c

Generator-coordinate method study of hexadecapole correlations in superdeformed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Hg</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>194</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Generator-coordinate method study of hexadecapole correlations in superdeformedHg194