The Octupole Collective Hamiltonian. Does It Follow the Example of the Quadrupole Case?

Author(s):

B. C. Smith ◽

C. -M. Ko

Keyword(s):

Angular Momentum ◽

Shape Change ◽

Yrast Band ◽

The Bohr collective Hamiltonian, with arbitrary inertial functions and collective potential, is solved numerically for angular momentum as high as J = 20. Applying the technique in the case of a two-minima potential, it is shown that a shape change in the Yrast band can cause backbending.

Construction of a collective Hamiltonian in a microscopic model of a nucleus. II

Theoretical and Mathematical Physics ◽

10.1007/bf01041678 ◽

1975 ◽

Vol 23 (3) ◽

pp. 580-586

Author(s):

R. V. Jolos ◽

F. Denau ◽

D. Jansen

Keyword(s):

Microscopic Model ◽

Calculations of the decay transitions of the modified Pöschl–Teller potential model via Bohr Hamiltonian technique

International Journal of Modern Physics E ◽

10.1142/s0218301317500732 ◽

2017 ◽

Vol 26 (11) ◽

pp. 1750073 ◽

Cited By ~ 4

Author(s):

Nahid Soheibi ◽

Majid Hamzavi ◽

Mahdi Eshghi ◽

Sameer M. Ikhdair

Keyword(s):

Experimental Data ◽

Ground State ◽

Potential Model ◽

Electric Quadrupole ◽

Numerical Results ◽

Transition Rates ◽

We calculate the eigenvalues and their corresponding eigenfunctions of the Bohr’s collective Hamiltonian with the help of the modified Pöschl–Teller (MPT) potential model within [Formula: see text]-unstable structure. Our numerical results for the ground state (g.s.) [Formula: see text] and [Formula: see text] band heads, together with the electric quadrupole [Formula: see text] transition rates, are displayed and compared with the available experimental data.

Empirical proton-neutron interaction of even Ra isotopes probed by the quadrupole-octupole collective Hamiltonian based on the covariant density functional

Physical Review C ◽

10.1103/physrevc.100.054303 ◽

2019 ◽

Vol 100 (5) ◽

Author(s):

W. Zhang ◽

S. Q. Zhang

Keyword(s):

Density Functional ◽

Neutron Interaction ◽

Collective Hamiltonian ◽

Covariant Density

Quantization of the Collective Hamiltonian in the Adiabatic Approximation

Progress of Theoretical Physics ◽

10.1143/ptp.61.1342 ◽

1979 ◽

Vol 61 (5) ◽

pp. 1342-1356 ◽

Cited By ~ 3

Author(s):

M. H. Caldeira ◽

J. M. Domingos

Keyword(s):

Adiabatic Approximation ◽

Energy Spectra in the Rotation-Vibration Region Based on Bohr-Mottelson's Collective Hamiltonian

Journal of the Physical Society of Japan ◽

10.1143/jpsj.52.357 ◽

1983 ◽

Vol 52 (2) ◽

pp. 357-358 ◽

Cited By ~ 1

Author(s):

Nazakat Ullah

Keyword(s):

Energy Spectra ◽

MICROSCOPIC APPROACH TO ADIABATIC LARGE-AMPLITUDE QUADRUPOLE COLLECTIVE DYNAMICS IN Se ISOTOPES

Modern Physics Letters A ◽

10.1142/s0217732310000356 ◽

2010 ◽

Vol 25 (21n23) ◽

pp. 1796-1799 ◽

Cited By ~ 4

Author(s):

NOBUO HINOHARA ◽

KOICHI SATO ◽

TAKASHI NAKATSUKASA ◽

MASAYUKI MATSUO

Keyword(s):

Large Amplitude ◽

Shape Coexistence ◽

Microscopic Approach ◽

Microscopic Method ◽

Coordinate Method ◽

Prolate Shape ◽

Anharmonic Vibrations ◽

Self Consistent ◽

Collective Coordinate ◽

We develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian on the basis of the adiabatic self-consistent collective coordinate method. We illustrate its usefulness by applying it to the oblate-prolate shape coexistence/mixing phenomena and anharmonic vibrations in Se isotopes.

Description of Low-lying Structures in Gd Isotopes with Collective Hamiltonian Based on Covariant Density Functional Theory

Acta Physica Polonica B Proceedings Supplement ◽

10.5506/aphyspolbsupp.8.725 ◽

2015 ◽

Vol 8 (3) ◽

pp. 725 ◽

Author(s):

Z. Shi ◽

S.Q. Zhang

Keyword(s):

Density Functional Theory ◽

Density Functional ◽

Functional Theory ◽

Covariant Density Functional Theory ◽

Collective Hamiltonian ◽

Covariant Density

Collective Hamiltonian and Its Applications for Chiral and Wobbling Modes

Acta Physica Polonica B Proceedings Supplement ◽

10.5506/aphyspolbsupp.8.545 ◽

2015 ◽

Vol 8 (3) ◽

pp. 545 ◽

Author(s):

Q.B. Chen

Keyword(s):

EXACT CANONICALLY CONJUGATE MOMENTA APPROACH TO AN SU(N) QUANTUM SYSTEM

International Journal of Modern Physics A ◽

10.1142/s0217751x98002523 ◽

1998 ◽

Vol 13 (32) ◽

pp. 5535-5556 ◽

Author(s):

SEIYA NISHIYAMA

Keyword(s):

Quantum System ◽

Natural Extension ◽

Integral Equation Method ◽

Collective Variables ◽

Canonical Variables ◽

System A ◽

Symmetric Quantum ◽

Collective Hamiltonian ◽

Field Formalism ◽

Derivatives Of

The collective field formalism by Jevicki and Sakita is a useful approach to the problem of treating general planar diagrams involved in an SU (N) symmetric quantum system. To approach this problem, standing on the Tomonaga spirit we also previously developed a collective description of an SU (N) symmetric Hamiltonian. However, this description has the following difficulties: (i) Collective momenta associated with the time derivatives of collective variables are not exact canonically conjugate to the collective variables; (ii) The collective momenta are not independent of each other. We propose exact canonically conjugate momenta to the collective variables with the aid of the integral equation method developed by Sunakawa et al. A set of exact canonical variables which are derived by the first quantized language is regarded as a natural extension of the Sunakawa et al.'s to the case for the SU (N) symmetric quantum system. A collective Hamiltonian is represented in terms of the exact canonical variables up to the order of [Formula: see text].