EIKONAL SCATTERING IN THE sdg INTERACTING BOSON MODEL: ANALYTICAL RESULTS IN THE SUsdg(3) LIMIT AND THEIR GENERALIZATIONS

1993 ◽  
Vol 08 (11) ◽  
pp. 987-996 ◽  
Author(s):  
V. K. B. KOTA
Keyword(s):  
Target Nucleus ◽  
Scattering Amplitude ◽  
Eikonal Approximation ◽  
Interacting Boson Model ◽  
Angular Momentum Projection ◽  
Rotational Bands ◽  
Ground Band ◽  
Energy Proton ◽  
Nucleus Scattering ◽  
Boson Model

General expression for the representation matrix elements in the SU sdg(3) limit of the sdg interacting boson model (sdgIBM) is derived that determine the scattering amplitude in the eikonal approximation for medium energy proton-nucleus scattering when the target nucleus is deformed and it is described by the SU sdg(3) limit. The SU sdg(3) result is generalized to two important situations: (i) when the target nucleus ground band states are described as states arising out of angular momentum projection from a general single Kπ = 0+ intrinsic state in sdg space; (ii) for rotational bands built on one-phonon excitations in sdgIBM.

Medium energy proton scattering fromGd154and the interacting boson model of nuclei

1987 ◽  
Vol 36 (6) ◽  
pp. 2436-2441 ◽  
Author(s):  
J. N. Ginocchio ◽  
G. Wenes ◽  
R. D. Amado ◽  
D. C. Cook ◽  
N. M. Hintz ◽  
...  
Keyword(s):  
Interacting Boson Model ◽  
Proton Scattering ◽  
Medium Energy ◽  
Energy Proton ◽  
Boson Model

Pion-nucleus scattering and the {spdf} interacting boson model

1994 ◽  
Vol 20 (4) ◽  
pp. 579-592 ◽  
Author(s):  
Yu-Xin Liu ◽  
Yu-Shun Zhang ◽  
Hong-Zhou Sun ◽  
En-Guang Zhao
Keyword(s):  
Interacting Boson Model ◽  
Nucleus Scattering ◽  
Boson Model

The Interacting Boson Model for Anomalous Rotational Bands

2002 ◽  
Vol 38 (5) ◽  
pp. 591-596
Author(s):  
Qian Cheng-De ◽  
Liu Dang-Bo ◽  
He Wei
Keyword(s):  
Interacting Boson Model ◽  
Rotational Bands ◽  
Boson Model

ROTATIONAL DRIVEN NUCLEAR SHAPE PHASE TRANSITION OF THE YRAST STATES OF INDIVIDUAL NUCLEUS IN INTERACTING BOSON MODEL

2006 ◽  
Vol 15 (08) ◽  
pp. 1711-1721 ◽  
Author(s):  
YUE ZHAO ◽  
YANG LIU ◽  
LIANG-ZHU MU ◽  
YU-XIN LIU
Keyword(s):  
Phase Transition ◽  
Angular Momentum ◽  
Interaction Parameters ◽  
Interacting Boson Model ◽  
Angular Momentum Projection ◽  
Prolate Shape ◽  
Boson Model ◽  
Shape Phase Transition ◽  
Nuclear Shape Phase Transition ◽  
Special Region

With the intrinsic coherent state formalism and the angular momentum projection, we study the shape phase structure of the yrast states in the dynamical symmetries of the IBM. We found that the states in the U (5) symmetry can undergo a rotation driven vibrational to axially rotational shape phase transition if the interaction parameters take negative values smaller than the critical ones. It shows that the U (5) symmetry of the IBM1 is an appropriate approach to describe the rotation driven shape phase transition along the yrast line of individual nucleus as the interaction parameters are taken in a special region. The O (6) symmetric yrast states may involve a phase transition from γ-soft rotation to triaxial rotation as the angular momentum increases, if the interaction parameters are specially chosen. And the yrast states in SU (3) symmetry always appear in the axially prolate shape phase.

Two-term formula for ground band energy symmetry in low-lying levels of light Mg-Zr nuclei

2015 ◽  
Vol 24 (12) ◽  
pp. 1550102
Author(s):  
Vidya Devi
Keyword(s):  
Energy Levels ◽  
Interacting Boson Model ◽  
Band Energy ◽  
Ground Band ◽  
Single Term ◽  
Energy Formula ◽  
Term Energy ◽  
Boson Model ◽  
Two Parameter ◽  
Good Agreement

In this paper, two parameter single-term energy formula [Formula: see text] is used to study the energy spin relationship within the ground bands of even–even Mg-Zr nuclei. The formula works better for the [Formula: see text]-soft nuclei as well as vibrational nuclei. We also compared it with other two-parameter formulas: Ejiri, [Formula: see text], [Formula: see text] and soft rotor formula (SRF). We also study the symmetry of the nuclei in the framework of interacting boson model (IBM-1). The IBM-1 was employed to determine the most appropriate Hamiltonian, the Hamiltonian of the IBM-1 and [Formula: see text](6) symmetry calculation, for the study of these isotopes. We have also calculated energy levels and B(E2) values for number of transitions in these [Formula: see text]Se and [Formula: see text]Kr isotopes and there is a good agreement between the presented results and the previous experimental data.

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