Sextic potential for $\gamma$-rigid prolate nuclei
作者： P Buganu , R Budaca
DOI: 10.1088/0954-3899/42/10/105106
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摘要: The equation of the Bohr-Mottelson Hamiltonian with a sextic oscillator potential is solved for $\gamma$-rigid prolate nuclei. associated shape phase space reduced to three variables which are exactly separated. angular has spherical harmonic functions as solutions, while $\beta$ brought quasi-exactly solvable case centrifugal barrier. energies and corresponding wave given in closed form depend, up scaling factor, on single parameter. $0^{+}$ $2^{+}$ states determined, having an important role assignment some ambiguous experimental bands. Due special properties potential, model can simulate, by varying free parameter, transition from anharmonic $\beta$-soft rotor crossing through critical point. Numerical applications performed 39 nuclei: $^{98-108}$Ru, $^{100,102}$Mo, $^{116-130}$Xe, $^{132,134}$Ce, $^{146-150}$Nd, $^{150,152}$Sm, $^{152,154}$Gd, $^{154,156}$Dy, $^{172}$Os, $^{180-196}$Pt, $^{190}$Hg $^{222}$Ra. best candidates point found be $^{104}$Ru $^{120,126}$Xe, followed closely $^{128}$Xe, $^{196}$Pt $^{148}$Nd.
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