scholarly journals Microscopic Analysis of Shape Coexistence/Mixing and Shape Phase Transition in Neutron-Rich Nuclei around $^{32}$Mg

2012 ◽  
Vol 196 ◽  
pp. 328-333
Author(s):  
Nobuo Hinohara ◽  
Koichi Sato ◽  
Kenichi Yoshida ◽  
Takashi Nakatsukasa ◽  
Masayuki Matsuo ◽  
...  
Keyword(s):  
Phase Transition ◽  
Microscopic Analysis ◽  
Shape Coexistence ◽  
Shape Phase Transition

scholarly journals Nuclear shapes: Quest for triaxiality in 86Ge and the shape of 98Zr

2018 ◽  
Vol 178 ◽  
pp. 02013 ◽  
Author(s):  
V. Werner ◽  
M. Lettmann ◽  
C. Lizarazo ◽  
W. Witt ◽  
D. Cline ◽  
...  
Keyword(s):  
Phase Transition ◽  
Nuclear Structure ◽  
Shape Coexistence ◽  
Shell Closure ◽  
Structural Effects ◽  
Triaxial Deformation ◽  
Rich Variety ◽  
Shell Closures ◽  
Shape Phase Transition ◽  
Neutron Shell Closure

The region of neutron-rich nuclei above the N = 50 magic neutron shell closure encompasses a rich variety of nuclear structure, especially shapeevolutionary phenomena. This can be attributed to the complexity of sub-shell closures, their appearance and disappearance in the region, such as the N = 56 sub shell or Z = 40 for protons. Structural effects reach from a shape phase transition in the Zr isotopes, over shape coexistence between spherical, prolate, and oblate shapes, to possibly rigid triaxial deformation. Recent experiments in this region and their main physics viewpoints are summarized.

scholarly journals Shape phase transition and shape coexistence in the Bose-Fermi system

2018 ◽  
Vol 178 ◽  
pp. 05004 ◽  
Author(s):  
Yu Zhang ◽  
Wenting Dong ◽  
He Jiang
Keyword(s):  
Phase Transition ◽  
Fermi System ◽  
Shape Coexistence ◽  
Classical Analysis ◽  
Fermion Model ◽  
Shape Phase Transition

A classical analysis of shape phase transition and shape coexistence in odd-even nuclei has been carried within the interacting boson-fermion model. The results indicate that shape coexistence can be taken as a signature of shape phase transition in odd-even nuclei.

scholarly journals Variational procedure leading from Davidson potentials to the E(5)and X(5) critical point symmetries

2020 ◽  
Vol 13 ◽  
pp. 10
Author(s):  
Dennis Bonatsos ◽  
D. Lenis ◽  
N. Minkov ◽  
D. Petrellis ◽  
P. P. Raychev ◽  
...  
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Ground State ◽  
Nuclear Energy ◽  
Energy Spectra ◽  
Variational Procedure ◽  
Ground State Band ◽  
Sharp Maximum ◽  
State Band ◽  
Shape Phase Transition

Davidson potentials of the form β^2 + β0^4/β^2, when used in the original Bohr Hamiltonian for γ-independent potentials bridge the U(5) and 0(6) symmetries. Using a variational procedure, we determine for each value of angular momentum L the value of β0 at which the derivative of the energy ratio RL = E(L)/E(2) with respect to β0 has a sharp maximum, the collection of RL values at these points forming a band which practically coincides with the ground state band of the E(5) model, corresponding to the critical point in the shape phase transition from U(5) to Ο(6). The same potentials, when used in the Bohr Hamiltonian after separating variables as in the X(5) model, bridge the U(5) and SU(3) symmetries, the same variational procedure leading to a band which practically coincides with the ground state band of the X(5) model, corresponding to the critical point of the U(5) to SU(3) shape phase transition. A new derivation of the Holmberg-Lipas formula for nuclear energy spectra is obtained as a by-product.

Extended study on the application of the sextic potential in the frame of X(3)-Sextic

2021 ◽  
Author(s):  
Mostafa Oulne ◽  
Imad Tagdamte
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Electromagnetic Properties ◽  
Shape Evolution ◽  
Isotopic Chain ◽  
Oscillator Potential ◽  
Extended Study ◽  
Deformed Nuclei ◽  
Exact Solvability ◽  
Shape Phase Transition

Abstract The main aim of the present paper is to study extensively the γ-rigid Bohr Hamiltonian with anharmonic sextic oscillator potential for the variable β and γ = 0. For the corresponding spectral problem, a finite number of eigenvalues are found explicitly, by algebraic means, 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 β bands in the critical point of the shape phase transition from a harmonic to an anharmonic prolate β-soft, also the shape evolution within an isotopic chain. Numerical results are given for 39 nuclei, namely, 98-108Ru, 100-102Mo, 116-130Xe, 180-196Pt, 172Os, 146-150Nd, 132-134Ce, 152-154Gd, 154-156Dy, 150-152Sm, 190Hg and 222Ra. Across this study, it seems that the higher quasi-exact solvability order improves our results by decreasing the rms, mostly for deformed nuclei. The nuclei 100,104Ru, 118,120,126,128Xe, 148Nd and 172Os fall exactly in the critical point.

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