Systematic study of the nature of gamma bands in A = 100–200 mass nuclei

The [Formula: see text]-bands are analyzed through the variation of the energy of the [Formula: see text] excitation and the energies of excited level sequence of [Formula: see text]-bands with respect to various parameters. The shape phase transition observed at N = 88–90 is reviewed through its influence on the energies of [Formula: see text]-band. The correlation of the [Formula: see text] excitation energies with the collective shape signature observable [Formula: see text] indicates a connection with the nuclear equilibrium structure. The study of excited level sequence in the [Formula: see text]-band with respect to the ground band signifies that the two bands differ in deformation.

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CORRELATION OF KINETIC MOMENT OF INERTIA WITH POWER FORMULA INDEX

International Journal of Modern Physics E ◽

10.1142/s0218301312500826 ◽

2012 ◽

Vol 21 (10) ◽

pp. 1250082

Author(s):

RAJESH KUMAR ◽

VIKAS KATOCH ◽

S. SHARMA ◽

J. B. GUPTA

Keyword(s):

Phase Transition ◽

Good Accuracy ◽

Power Index ◽

Moment Of Inertia ◽

Light Nuclei ◽

Index Formula ◽

Ground Band ◽

Shape Phase Transition ◽

Kinetic Moment

The level energies of ground band of even Z, even N nuclei may be reproduced well with good accuracy by using the power index formula E = aIb. In an earlier study of the dependence of the kinetic moment of inertia (MoI) J(1) on spin I, a possible correlation of the MoI J(1) with power index "b" was suggested. Here we illustrate that the slope of the kinetic MoI versus spin I corresponds to the magnitude of the index "b" for several isotopes in the A = 100–150 region. The validity of the formula is illustrated for light nuclei in A = 100 region and its use for studying shape phase transition at N = 60.

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Distinguishing a first order from a second order nuclear shape phase transition in the interacting boson model

Physical Review C ◽

10.1103/physrevc.76.011305 ◽

2007 ◽

Vol 76 (1) ◽

Cited By ~ 36

Author(s):

Yu Zhang ◽

Zhan-feng Hou ◽

Yu-xin Liu

Keyword(s):

Phase Transition ◽

Second Order ◽

Nuclear Shape ◽

Interacting Boson Model ◽

First Order ◽

Boson Model ◽

Shape Phase Transition ◽

Nuclear Shape Phase Transition

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

HNPS Proceedings ◽

10.12681/hnps.2952 ◽

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.

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Systematic Study of Vortex Pinning and a Liquid–Glass Phase Transition in BaFe2–xNixAs2 Single Crystals

JETP Letters ◽

10.1134/s0021364018020042 ◽

2018 ◽

Vol 107 (2) ◽

pp. 119-125 ◽

Cited By ~ 1

Author(s):

V. A. Vlasenko ◽

O. A. Sobolevskiy ◽

A. V. Sadakov ◽

K. S. Pervakov ◽

S. Yu. Gavrilkin ◽

...

Keyword(s):

Phase Transition ◽

Single Crystals ◽

Systematic Study ◽

Liquid Glass ◽

Glass Phase ◽

Vortex Pinning

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

Journal of Physics G Nuclear and Particle Physics ◽

10.1088/1361-6471/ac3a00 ◽

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

EPJ Web of Conferences ◽

10.1051/epjconf/201817802013 ◽

2018 ◽

Vol 178 ◽

pp. 02013 ◽

Cited By ~ 2

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.

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Z(5): CRITICAL POINT SYMMETRY FOR THE PROLATE TO OBLATE SHAPE PHASE TRANSITION

Key Topics in Nuclear Structure ◽

10.1142/9789812702265_0037 ◽

2005 ◽

Author(s):

DENNIS BONATSOS ◽

D. LENIS ◽

D. PETRELLIS ◽

P. A. TERZIEV

Keyword(s):

Phase Transition ◽

Critical Point ◽

Point Symmetry ◽

Oblate Shape ◽

Shape Phase Transition

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

EPJ Web of Conferences ◽

10.1051/epjconf/201817805004 ◽

2018 ◽

Vol 178 ◽

pp. 05004 ◽

Cited By ~ 2

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.

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