CLUSTERING CORRELATIONS AND TRIAXIALITY IN THE sd-SHELL REGION

2011 ◽  
Vol 20 (04) ◽  
pp. 1046-1049 ◽  
Author(s):  
YASUTAKA TANIGUCHI ◽  
MASAAKI KIMURA ◽  
YOSHIKO KANADA-EN'YO ◽  
HISASHI HORIUCHI
Keyword(s):  
Excited States ◽  
Deformation Parameter ◽  
Cluster Structure ◽  
Quadrupole Deformation ◽  
Generator Coordinate Method ◽  
Generator Coordinate ◽  
Cluster Distance ◽  
Quadrupole Deformation Parameter ◽  
Different Shapes ◽  
Shell Region

Effects of cluster correlations on triaxiality have been studied using the antisymmetrized molecular dynamics. Low-lying states in 28 Si and 40 Ca are obtained by the the generator coordinate method (GCM), and the GCM basis are calculated by energy variations with constraints on quadrupole deformation parameter β and inter-cluster distance. The GCM obtain prolate superdeformed (SD) states in 28 Si and triaxial normal-deformed (ND) states in 40 Ca , which contain prolate α-24 Mg and triaxial α-36 Ar cluster structure components, respectively. Different shapes of prolate 24 Mg and oblate 36 Ar clusters cause difference of triaxiality of total systems. Cluster correlations which have oblate cluster enhance triaxiality in excited states.

DESCRIPTION OF 8Be AS DEFORMED GAS-LIKE TWO-ALPHA-PARTICLE STATES

2003 ◽  
Vol 18 (02n06) ◽  
pp. 170-173
Author(s):  
Y. FUNAKI ◽  
H. HORIUCHI ◽  
A. TOHSAKI ◽  
P. SCHUCK ◽  
G. RÖPKE
Keyword(s):  
Wave Function ◽  
Excited States ◽  
Ground State ◽  
Cluster Structure ◽  
Test Case ◽  
Weakly Bound ◽  
Generator Coordinate Method ◽  
Spatial Deformation ◽  
Generator Coordinate ◽  
Spin Excitations

In order to study non-zero spin excitations of the recently proposed α-cluster condensation in the self-conjugate 4n nuclei, spatial deformation is introduced into the model wave function of the α-cluster condensate. The rotational band states of 8 Be are investigated as a first step of a test case for the study of the deformation of the α-cluster condensate. Calculations reproduce well the binding energy of the 0+ ground state and also the excitation energy of the 2+ state. Our 0+ wave function is found to be exactly equal to the 0+ wave function obtained by the generator coordinate method using Brink's 2α wave function. The study shows that both the 0+ ground and 2+ excited states can be considered as having a gas-like (i.e. weakly bound) 2α-cluster structure.

CLUSTER STRUCTURES IN 28Si

2009 ◽  
Vol 24 (11) ◽  
pp. 2069-2075
Author(s):  
YASUTAKA TANIGUCHI ◽  
YOSHIKO KANADA-EN'YO ◽  
MASAAKI KIMURA
Keyword(s):  
Molecular Dynamics ◽  
Deformation Parameter ◽  
Cluster Structure ◽  
Quadrupole Deformation ◽  
Wave Functions ◽  
Positive Parity ◽  
Energy Variation ◽  
Quadrupole Deformation Parameter ◽  
Configuration Mixing

Positive-parity states of 28 Si are studied with antisymmetrized molecular dynamics and multi-configuration mixing focusing on clustering and deformations. By superposition of wave functions obtained by energy variation imposing constraints on quadrupole deformation parameter β and distance between α and 24 Mg , and 12 C and 16 O clusters, two oblate bands, two prolate bands and developed α-24 Mg band are obtained. It is found that cluster structure components are contained in those bands.

scholarly journals GROUND STATE PROPERTIES AND BUBBLE STRUCTURE OF SYNTHESIZED SUPERHEAVY NUCLEI

2013 ◽  
Vol 22 (01) ◽  
pp. 1350001 ◽  
Author(s):  
S. K. SINGH ◽  
M. IKRAM ◽  
S. K. PATRA
Keyword(s):  
Binding Energy ◽  
Ground State ◽  
Deformation Parameter ◽  
Mean Field ◽  
Quadrupole Deformation ◽  
Superheavy Nuclei ◽  
Ground State Properties ◽  
Quadrupole Deformation Parameter ◽  
Bubble Structure ◽  
The Stability

We calculate the ground state properties of recently synthesized superheavy elements (SHEs) from Z = 105–118 along with the predicted proton magic Z = 120. The relativistic and nonrelativistic mean field formalisms are used to evaluate the binding energy (BE), charge radius, quadrupole deformation parameter and the density distribution of nucleons. We analyzed the stability of the nuclei based on BE and neutron to proton ratio. We also studied the bubble structure which reveals the special features of the superheavy nuclei.

STUDY OF LIGHT NUCLEI WITH BRUECKNER-AMD+GCM

2009 ◽  
Vol 24 (11n13) ◽  
pp. 1013-1016 ◽  
Author(s):  
TAKAOMI MURAKAMI ◽  
TOMOAKI TOGASHI ◽  
KIYOSHI KATŌ
Keyword(s):  
Molecular Dynamics ◽  
Nuclear Structure ◽  
Excited States ◽  
Nuclear Force ◽  
Light Nuclei ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Generator Coordinate ◽  
New Framework ◽  
Brueckner Theory

To describe excited nuclear states, we developed the Brueckner-AMD combining the Brueckner theory with Antisymmetrized Molecular Dynamics (AMD), which has been recently proposed as a new framework to study nuclear structure of light nuclei based on the realistic nuclear force. In the present framework, we formulate a multi-configuration calculation with Generator Coordinate Method (GCM) in the Brueckner-AMD. An application is shown for the excited states with positive and negative parities in 4 He , and the successful results and reliability of the present framework are discussed.

Scattering of α-particles by 11B nuclei at an energy of 40MeV and role of the exchange mechanism with transfer of 7Li

2018 ◽  
Vol 27 (11) ◽  
pp. 1850094
Author(s):  
N. Burtebayev ◽  
Maulen Nassurlla ◽  
Marzhan Nassurlla ◽  
N. Saduyev ◽  
A. Sabidolda ◽  
...  
Keyword(s):  
Deformation Parameter ◽  
Quadrupole Deformation ◽  
Collective Model ◽  
Negative Sign ◽  
Exchange Mechanism ◽  
Angular Distributions ◽  
Coupled Channels ◽  
Quadrupole Deformation Parameter ◽  
Α Particles

The elastic and inelastic scatterings of [Formula: see text]-particles were investigated at an energy of 40[Formula: see text]MeV with excitation of low-lying states of the [Formula: see text]B nucleus [0.0 (3/2[Formula: see text]), 4.445 (5/2[Formula: see text]), 6.74 (7/2[Formula: see text]), 2.125 (1/2[Formula: see text]) and 5.02[Formula: see text]MeV (3/2[Formula: see text])]. The analysis of the experimental angular distributions was carried out via the coupled channels method within the framework of the collective model. The value of the quadrupole deformation parameter [Formula: see text] was extracted. Calculations indicate a preference for a negative sign for deformation. It is shown that the exchange mechanism with the transfer of the heavy 7Li cluster does not play an important role in the scattering of [Formula: see text]-particles on [Formula: see text]B nuclei at an energy of 40[Formula: see text]MeV.

Generator Coordinate Method and Short Range Correlations

1973 ◽  
Vol 28 (3-4) ◽  
pp. 393-395
Author(s):  
J. da Providência ◽  
C. M. Shakin
Keyword(s):  
Excited States ◽  
Cluster Expansion ◽  
Ground State ◽  
Short Range ◽  
Generator Coordinate Method ◽  
Correlated Systems ◽  
Coordinate Method ◽  
Generator Coordinate ◽  
Singular Interactions ◽  
Short Range Correlations

AbstractIt is shown that the cluster expansion formalism previously developed as a basis for a theory of the ground state of correlated systems may be generalised in such a way as to enable the application of the generator coordinate method in the presence of singular interactions, thereby providing also a theory for excited states.

A technique for measuring the quadrupole deformation parameter of transuranium nuclei

2008 ◽  
Vol 51 (5) ◽  
pp. 661-664
Author(s):  
D. A. Testov ◽  
A. A. Aleksandrov ◽  
Yu. P. Gangrskii ◽  
V. I. Zhemenik ◽  
G. V. Myshinskii ◽  
...  
Keyword(s):  
Deformation Parameter ◽  
Quadrupole Deformation ◽  
Quadrupole Deformation Parameter

scholarly journals Fast-timing measurements in neutron-rich odd-mass zirconium isotopes using LaBr3:Ce detectors coupled with Gammasphere

2018 ◽  
Vol 193 ◽  
pp. 05004 ◽  
Author(s):  
E.R. Gamba ◽  
S. Lalkovski ◽  
M. Rudigier ◽  
A.M. Bruce ◽  
S. Bottoni ◽  
...  
Keyword(s):  
Standard Deviation ◽  
Excited States ◽  
Timing Analysis ◽  
National Laboratory ◽  
Argonne National Laboratory ◽  
Quadrupole Deformation ◽  
Fast Timing ◽  
Lifetime Value ◽  
Quadrupole Deformation Parameter ◽  
Decay Of Excited States

A fast-timing experiment was performed at the Argonne National Laboratory to measure the lifetimes of the lowest lying states of nuclei belonging to the deformed regions around mass number A≃110 and A≃150. These regions were populated via spontaneous fission of 252Cf and the gamma radiation following the decay of excited states in the fission fragments was measured using 51 Gammasphere detectors coupled with 25 LaBr3:Ce detectors. A brief description of the acquisition system and some preliminary results from the fast-timing analysis of the fission fragment 100Zr are presented. The lifetime value of τ = 840(65) ps was found for the 2+ state in 100Zr consistent within one standard deviation of the adopted value with 791 +26 -35ps. This is associated with a quadrupole deformation parameter of 0.36(2) which is within one standard deviation of the literature value of 0.3556+82 -57.

scholarly journals TRIAXIAL SUPERDEFORMATION OF 40Ar

2010 ◽  
Vol 25 (21n23) ◽  
pp. 1915-1918 ◽  
Author(s):  
YASUTAKA TANIGUCHI
Keyword(s):  
Wave Functions ◽  
Ground State Band ◽  
Generator Coordinate Method ◽  
Side Band ◽  
Energy Variation ◽  
Generator Coordinate ◽  
Quadrupole Deformation Parameter ◽  
State Band ◽  
Electric Transition ◽  
Experimental Values

Superdeformed (SD) states in 40 Ar have been studied using the deformed-basis antisymmetrized molecular dynamics and the generator coordinate method (GCM). GCM basis wave functions were obtained by the energy variation with a constraint on the quadrupole deformation parameter β, while other quantities such as triaxiality γ were optimized by the energy variation. An SD band is obtained just above the ground state band. The SD band involves a Kπ = 2+ side band due to the triaxiality. The calculated quadrupole electric transition strengths of the SD band reproduce well the experimental values. Triaxiality is significantly important to understand low-lying states.

Generator Coordinate Method for Scattering: An Exact Solution

1973 ◽  
Vol 7 (6) ◽  
pp. 2274-2281 ◽  
Author(s):  
B. Giraud ◽  
J. C. Hocquenghem ◽  
A. Lumbroso
Keyword(s):  
Exact Solution ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Generator Coordinate
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