首页|Extended study on the application of the sextic potential in the frame of X(3)-sextic
Extended study on the application of the sextic potential in the frame of X(3)-sextic
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NSTL
The main aim of the present paper is to extensively study the gamma-rigid Bohr Hamiltonian with anharmonic sextic oscillator potential for the variable beta and gamma = 0. For the corresponding spectral problem, a finite number of eigenvalues are explicitly found, by algebraic means, the so-called quasi-exact solvability (QES). The evolution of the spectral and electromagnetic properties by considering higher exact solvability orders is investigated, especially the approximate degeneracy of the ground and first two beta bands at the critical point of the shape phase transition from a harmonic to an anharmonic prolate beta-soft, as well as the shape evolution within an isotopic chain. The numerical results are given for 39 nuclei, namely, Ru98-108, Mo100-102, Xe116-130, Pt180-196, Os-172, Nd146-150, Ce132-134, Gd152-154, Dy154-156, Sm150-152, Hg-190 and Ra-222. Across this study, it seems that the higher QES order improves our results by decreasing the root mean square, mostly for deformed nuclei. The nuclei Ru-100,Ru-104, Xe-118,Xe-120,Xe-126,Xe-128, Nd-148 and Os-172 fall exactly at the critical point.
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