A NUMERICAL CLUSTER MODEL WITH SHELL MODEL ASSUMPTIONS

2009 ◽  
Vol 18 (01) ◽  
pp. 183-192
Author(s):  
MOHAMED AHMED HASSAN
Keyword(s):  
Binding Energy ◽  
Shell Model ◽  
Cluster Model ◽  
Numerical Representation ◽  
Basic Assumptions ◽  
Cluster Representation ◽  
Α Particles

A numerical representation for nuclei is suggested and considered as a basis of a cluster model. The binding energy of the cluster representation of a nucleus is introduced. Basic assumptions of the shell model are obtained as the physical side of the suggested cluster representation. 8 Be 4-decay to two α-particles and 9 B 5 decay to two α-particles and proton are interpreted.

scholarly journals Calculations with Reaction Matrices in the p?f Shell

1972 ◽  
Vol 25 (6) ◽  
pp. 651
Author(s):  
HN Comins ◽  
RGL Hewitt
Keyword(s):  
Binding Energy ◽  
Shell Model ◽  
Energy Levels ◽  
Model Reaction ◽  
Pauli Operator ◽  
Reaction Matrix

Elements of the shell-model reaction matrix have been calculated for the p-f shell with an exact treatment of the Pauli operator. These elements have been used in straightforward calculations of the energy levels of 42Ca and 42Sc and the binding energy of 40Ca.

scholarly journals THE POSSIBLE DI-OMEGA DIBARYON IN QUARK CLUSTER MODEL

2014 ◽  
Vol 26 ◽  
pp. 1460120 ◽  
Author(s):  
L. R. DAI ◽  
J. LIU ◽  
L. YUAN
Keyword(s):  
Binding Energy ◽  
Quark Model ◽  
Cluster Model ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Scattering Data ◽  
Nucleon Scattering ◽  
Scalar Mesons ◽  
Ideal Mixing ◽  
The Ideal

The mixing of scalar mesons is introduced into the baryon-baryon system in the chiral SU(3) quark model to further dynamically investigate the Di-omega state by using the same parameters as those in reasonably describing the experimental hyperon-nucleon and nucleon-nucleon scattering data. Two different mixings of scalar mesons, the ideal mixing and 19° mixing, are discussed, and compared with no mixing. The results show that it is still deeply bound state if 19° mixing is adopted, the same as those of no mixing. However, for ideal mixing, the binding energy is reduced quite a lot, yet it is still a bound state.

HYPERNUCLEAR PHYSICS STUDIED WITH THE SHELL AND CLUSTER MODELS

2009 ◽  
Vol 24 (11) ◽  
pp. 2091-2100 ◽  
Author(s):  
TOSHIO MOTOBA
Keyword(s):  
Shell Model ◽  
Cluster Model ◽  
Cluster Models ◽  
Model Application ◽  
Hypernuclear Physics

Prospects of interesting hypernuclear structures are discussed for typical light p-shell systems with the cluster model application and also for the medium-heavy systems with shell-model applications. Corresponding to the recent experimental progress, importance of production reaction spectroscopy are emphasized.

Binding energy of the dihyperon in the quark cluster model

1988 ◽  
Vol 200 (3) ◽  
pp. 241-245 ◽  
Author(s):  
U. Straub ◽  
Zong-Ye Zhang ◽  
K. Bräuer ◽  
Amand Faessler ◽  
S.B. Khadkikar
Keyword(s):  
Binding Energy ◽  
Cluster Model

scholarly journals MASSES AND RADII OF THE NUCLEI WITH N ≥ Z IN AN ALPHA-CLUSTER MODEL

2010 ◽  
Vol 19 (05n06) ◽  
pp. 1205-1211
Author(s):  
G. K. NIE
Keyword(s):  
Binding Energy ◽  
Cluster Model ◽  
Liquid Drop ◽  
Nuclear Charge ◽  
Binding Energies ◽  
Specific Density ◽  
Charge Radii ◽  
The Core ◽  
Nuclear Binding ◽  
Alpha Cluster

In the framework of a recently developed alpha-cluster model a nucleus is represented as a core (alpha-cluster liquid drop with dissolved excess neutron pairs in it) and a nuclear molecule on its surface. From analysis of experimental nuclear binding energies one can find the number of alpha-clusters in the molecule and calculate the nuclear charge radii. It was shown that for isotopes of one Z with growing A the number of alpha-clusters in the molecule decreases to three, which corresponds to the nucleus 12 C for even Z and 15 N for odd Z, and the specific density of the core binding energy ρ grows and reaches its saturation value. In this paper it is shown that the value ρ=2.55 MeV/fm 3 explains the particular number of excess neutrons in stable nuclei.

SHELL MODEL CALCULATIONS OF 3T, 5He AND 6Li NUCLEI

2002 ◽  
Vol 11 (01) ◽  
pp. 67-70
Author(s):  
NAZIH EL-NOHY
Keyword(s):  
Binding Energy ◽  
Shell Model ◽  
Root Mean Square ◽  
Long Range ◽  
Ground State ◽  
Radial Dependence ◽  
Spin Orbit ◽  
Mean Square ◽  
Model Calculations ◽  
Short Range Repulsion

The bases of the translation invariant shell model are used to construct the ground-state wave functions of 3 T , 5 He and 6 Li . For 3 T the bases used correspond to the number of quanta of excitation N up to ten. For 5 He and 6 Li the bases used correspond to the number of quanta of excitation N up to six. The model is applied to calculate the binding energy and the root mean square radius for 3 T , 5 He and 6 Li nuclei. The residual interactions used consist of central, tensor, spin-orbit and quadratic spin-orbit terms with Gaussian radial dependence. The parameters of these interactions are chosen in such away that they represent the long range attraction and the short range repulsion of nucleon interactions. It was found that this potential is more suitable for calculating the characteristics of these nuclei, and better than other potentials, such as our previous potentials which were represented by the parameters of long range attraction forces only. For 3T we obtained good agreement between calculated and experimental values of both the ground state binding energy and the root mean square radius. For 5 He and 6 Li nuclei we obtained an acceptable improvement with these calculations over other potentials.

Electronic Structure of Bimetallic FemAln (m+n=6) Clusters

2009 ◽  
Vol 79-82 ◽  
pp. 1333-1336 ◽  
Author(s):  
Shou Gang Chen ◽  
Wei Wei Sun ◽  
Shuai Qin Yu ◽  
Xun Jun Yin ◽  
Yan Sheng Yin
Keyword(s):  
Electronic Structure ◽  
Binding Energy ◽  
Ionization Potential ◽  
Electronic Structures ◽  
Cluster Model ◽  
Theoretical Study ◽  
Finite Size ◽  
Vertical Ionization Potential ◽  
Stable Clusters ◽  
Insight Into

Theoretical study on the electronic structure of small FemAln(m+n=6) clusters has been carried out at the BPW91 level, and the electronic structures, binding energy and vertical ionization potential of clusters were evaluated. For the stable clusters, the iron atoms gather together and form a maximum of Fe-Fe bonds, and the aluminum atoms locate around Fe core with a maximum of Fe-Al bonds. The binding energy and vertical ionization potential show that the Fe5Al, Fe4Al2 and Fe3Al3 clusters have higher stability, which results provide insight into the properties of iron-aluminides can be obtained from a finite size cluster model.

Microscopic shell-model and cluster-model calculations of the and vertex constants

1997 ◽  
Vol 620 (1) ◽  
pp. 29-45 ◽  
Author(s):  
N.K. Timofeyuk ◽  
D. Baye ◽  
P. Descouvemont
Keyword(s):  
Shell Model ◽  
Cluster Model ◽  
Model Calculations
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