Phase transition at N = 92 in 158Dy

2016 ◽  
Vol 25 (10) ◽  
pp. 1650076 ◽  
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.

scholarly journals Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation

2021 ◽  
Vol 31 (14) ◽  
Author(s):  
M. Katsanikas ◽  
M. Agaoglou ◽  
S. Wiggins
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Periodic Orbits ◽  
Lower Energy ◽  
Degrees Of Freedom ◽  
Energy Surface ◽  
Pitchfork Bifurcation ◽  
High Energy ◽  
Symmetric Potential ◽  
The Family

In this work, we analyze the bifurcation of dividing surfaces that occurs as a result of a pitchfork bifurcation of periodic orbits in a two degrees of freedom Hamiltonian System. The potential energy surface of the system that we consider has four critical points: two minima, a high energy saddle and a lower energy saddle separating two wells (minima). In this paper, we study the structure, the range, and the minimum and maximum extent of the periodic orbit dividing surfaces of the family of periodic orbits of the lower saddle as a function of the total energy.

scholarly journals Secondary channels in the thermal decomposition of monomethylhydrazine (CH3NHNH2)

RSC Advances ◽  
2014 ◽  
Vol 4 (108) ◽  
pp. 62951-62964 ◽  
Author(s):  
Peng Zhang ◽  
Stephen J. Klippenstein ◽  
Lawrence B. Harding ◽  
Hongyan Sun ◽  
Chung K. Law
Keyword(s):  
Thermal Decomposition ◽  
Potential Energy ◽  
Potential Energy Surface ◽  
Energy Surface ◽  
Molecular Decomposition

The possible role of molecular decomposition channels in MMH is explored through additional investigations on triplet channels, roaming radical channels, and previously unexplored pathways on the potential energy surface.

ROLE OF HIGHER-MULTIPOLARITY DEFORMATIONS IN THE POTENTIAL ENERGY OF HEAVIEST NUCLEI

2007 ◽  
Vol 16 (02) ◽  
pp. 425-430 ◽  
Author(s):  
M. KOWAL ◽  
A. SOBICZEWSKI
Keyword(s):  
Potential Energy ◽  
General Feature ◽  
Degrees Of Freedom ◽  
Deformation Parameter ◽  
Superheavy Nucleus ◽  
Deformation Space ◽  
Microscopic Approach ◽  
Deformation Parameters ◽  
6 Degrees Of Freedom

Potential energy of the superheavy nucleus 284114 is analyzed in a 6-dimensional deformation space. This space includes two quadrupole, three hexadecapole and one multipolarity-6 deformation parameter. The energy is minimized simultaneously in all 6 degrees of freedom. The analysis is done within a macroscopic-microscopic approach. As in the studies of other superheavy nuclei, the result is found to be very individual for a given nucleus. A more general feature is a small effect of one (γ4) of the hexadecapole deformation parameters on the energy of the nucleus.

Two 0+ excited states in 40Ca with diabatic and adiabatic constrained approaches

2014 ◽  
Vol 23 (01) ◽  
pp. 1450003
Author(s):  
H. Y. Sang ◽  
X. S. Wang ◽  
J. H. Wang ◽  
Y. Y. Liu ◽  
H. F. Lü
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Excited States ◽  
Single Particle ◽  
Energy Surface ◽  
Center Of Mass ◽  
Mean Field ◽  
Mass Motion ◽  
Relativistic Mean Field

Two 0+ excited states of 40 Ca have been investigated by the potential energy surface (PES) obtained from both adiabatic and diabatic constrained approaches, combined with the relativistic mean field (RMF) theory. A well-defined second minimum appears on the diabatic PES that does not exists on the adiabatic PES. The configurations of these two 0+ excited states are determined as 4p–4h and 8p–8h excitation from their counterparts at the spherical configuration. The excited energies were reduced by microscopic correction for the center-of-mass motion, and a gap at 18 appears in their single particle diagrams.

scholarly journals Ultracold O2 + O2 collisions in a magnetic field: On the role of the potential energy surface

2011 ◽  
Vol 134 (12) ◽  
pp. 124310 ◽  
Author(s):  
Jesús Pérez-Ríos ◽  
José Campos-Martínez ◽  
Marta I. Hernández
Keyword(s):  
Magnetic Field ◽  
Potential Energy ◽  
Potential Energy Surface ◽  
Energy Surface
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