Study of Grodzins relation of B(E2) with E(21+) in A = 130, 100 and 80 regions

The nuclei in the [Formula: see text] [Formula: see text] and [Formula: see text] regions, lying on both sides of the [Formula: see text]-stability line, continue to be of interest for their complex nuclear structures. The Grodzins product rule (GPR) viz. [Formula: see text], for the ground bands of even-[Formula: see text] even-[Formula: see text] nuclei provides a useful approach to study these structures. The utility of our method, displaying the linear relation of [Formula: see text] to [Formula: see text], is illustrated for the [Formula: see text] Zn to [Formula: see text] Cd series of isotopes. The spread of the data on the linear plots enables a quick view of the shape phase transitions. The role of the shells and the subshells, at spherical and deformed shell gaps for neutrons and protons, with their mutual re-inforcement and the shape phase transition are vividly visible on our plots. The development of collectivity in this region is also linked to the effective number of valence nucleons above the magic number of [Formula: see text], and 28 rather than [Formula: see text], for Mo to Cd isotopes for a microscopic calculation.

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UBF(5)toSUBF(3)shape phase transition in odd nuclei forj=1/2,3/2, and5/2orbits: The role of the odd particle at the critical point

Physical Review C ◽

10.1103/physrevc.79.014306 ◽

2009 ◽

Vol 79 (1) ◽

Cited By ~ 19

Author(s):

C. E. Alonso ◽

J. M. Arias ◽

L. Fortunato ◽

A. Vitturi

Keyword(s):

Phase Transition ◽

Critical Point ◽

Shape Phase Transition

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ANHARMONICITY VERSUS LINEARITY RELATION AND MALLMANN PLOT

International Journal of Modern Physics E ◽

10.1142/s021830131350064x ◽

2013 ◽

Vol 22 (08) ◽

pp. 1350064 ◽

Cited By ~ 2

Author(s):

J. B. GUPTA

Keyword(s):

Phase Transition ◽

Nuclear Structure ◽

Power Index ◽

Energy Ratio ◽

Index Formula ◽

Alternative Form ◽

Shape Phase Transition

The anharmonity in shape transitional nuclei, observed earlier, is studied and an alternative form is derived. The dichotomy of a constant anharmonicity along with a changing nuclear structure is resolved. The evolution of the collective nuclear structure from the spherical vibrator to the deformed rotor is studied through the variation of energy ratio R10/2(E10/E2) with R4/2, for Ba – Dy and for Dy – Hf (N<104) and R12/2. The role of the Z = 64 subshell and the N = 88–90 shape phase transition are illustrated in the Mallmann plot. The relative merits of the empirical formulae: rotation–vibration linearity model, the soft rotor formula and the power index formula are compared.

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Phase transition at N = 92 in 158Dy

International Journal of Modern Physics E ◽

10.1142/s0218301316500762 ◽

2016 ◽

Vol 25 (10) ◽

pp. 1650076 ◽

Cited By ~ 1

Author(s):

J. B. Gupta

Keyword(s):

Phase Transition ◽

Potential Energy ◽

Potential Energy Surface ◽

Single Particle ◽

Degrees Of Freedom ◽

Energy Surface ◽

Transition Rates ◽

Microscopic Approach ◽

Shape Phase Transition

Beyond the shape phase transition from the spherical vibrator to the deformed rotor regime at [Formula: see text], the interplay of [Formula: see text]- and [Formula: see text]-degrees of freedom becomes important, which affects the relative positions of the [Formula: see text]- and [Formula: see text]-bands. In the microscopic approach of the dynamic pairing plus quadrupole model, a correlation of the strength of the quadrupole force and the formation of the [Formula: see text]- and [Formula: see text]-bands in [Formula: see text]Dy is described. The role of the potential energy surface is illustrated. The [Formula: see text] transition rates in the lower three [Formula: see text]-bands and the multi-phonon bands with [Formula: see text] and [Formula: see text] are well reproduced. The absolute [Formula: see text] [Formula: see text] serves as a good measure of the quadrupole strength. The role of the single particle Nilsson orbits is also described.

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