12C isotope in relativistic cluster model

2019 ◽  
Vol 34 (20) ◽  
pp. 1950158 ◽  
Author(s):  
N. Roshanbakht ◽  
M. R. Shojaei
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Cluster Model ◽  
Center Of Mass ◽  
Mass Motion ◽  
Body System ◽  
Central Potential ◽  
Relative Coordinates ◽  
Klein Gordon ◽  
Good Coincidence

12C isotope composing 3[Formula: see text] cluster was investigated in this study. Therefore, 12C can be considered as a 3-body system. For studying the interactions in 3[Formula: see text] clusters, a central potential was applied. Jacobi relative coordinates were also employed and center of mass motion was removed. In this paper, the Klein–Gordon (K–G) equation was solved using Nikiforov–Uvarov potential. At the end, the energy spectrum and wave function of isotope 12C were determined and the results were compared with the experimental data which showed good coincidence reflecting the success of our model in prediction.

Calculation of the energy levels and charge radius of 24Mg and 32S isotopes in the cluster model

2020 ◽  
Vol 98 (2) ◽  
pp. 148-152
Author(s):  
Sahar Aslanzadeh ◽  
Mohammad Reza Shojaei ◽  
Ali Asghar Mowlavi
Keyword(s):  
Experimental Data ◽  
Excited State ◽  
Cluster Model ◽  
Yukawa Potential ◽  
Energy Levels ◽  
Alpha Particles ◽  
Wave Functions ◽  
S Isotopes ◽  
Klein Gordon ◽  
Nu Method

In this work, the 24Mg and 32S isotopes are considered in the cluster model by solving the Schrödinger and Klein–Gordon equations using the Nikiforov–Uvarov (NU) method. The configuration of the alpha particles for the second excited state for 24Mg isotope is 12C + 12C. A local potential is used for these two equations that is compatible to the modified Hulthen plus quadratic Yukawa potential. By substituting this potential in the Schrödinger and Klein–Gordon equations, the energy levels and wave functions are obtained. The calculated results from the Schrödinger and Klein–Gordon equations, i.e., nonrelativity and relativity, respectively, are close to the results from experimental data.

QUARK DELOCALIZATION, COLOR SCREENING, AND NUCLEAR INTERMEDIATE RANGE ATTRACTION II

1995 ◽  
Vol 10 (26) ◽  
pp. 1895-1903 ◽  
Author(s):  
G.H. WU ◽  
L.J. TENG ◽  
J.L. PING ◽  
F. WANG ◽  
T. GOLDMAN
Keyword(s):  
Cluster Model ◽  
Effective Interaction ◽  
Center Of Mass ◽  
Mass Motion ◽  
Baryon Interaction ◽  
Intermediate Range

The effect of correction for center-of-mass motion on the quark delocalization model of baryon-baryon interactions is to make the effective interaction a little less attractive; the correction is minor. The intermediate range behavior of the color screening potential is not critical for obtaining an intermediate attractive baryon-baryon interaction. The cluster model and molecular single quark bases give exactly the same results.

THE INTERMEDIATE ENERGY ELASTIC SCATTERING OF PROTONS BY α-CLUSTER 20Ne AND 24Mg NUCLEI

2010 ◽  
Vol 19 (02) ◽  
pp. 243-261 ◽  
Author(s):  
Yu. A. BEREZHNOY ◽  
V. P. MIKHAILYUK ◽  
V. V. PILIPENKO
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Scattering Theory ◽  
Cluster Model ◽  
Center Of Mass ◽  
Intermediate Energy ◽  
Diffraction Scattering ◽  
Multiple Diffraction ◽  
The Core ◽  
Cluster Configuration

The multiple diffraction scattering theory and the α-cluster model with dispersion have been applied for calculations of the observables for the elastic scattering of intermediate energy protons by 20 Ne and 24 Mg nuclei. The target nuclei are considered as composed of the core (16 O nucleus) and additional α-clusters (one α-cluster for 20 Ne nucleus and a dumb-bell α-cluster configuration for 24 Mg nucleus). Taking into account the α-cluster configuration of the core, it was supposed that the additional α-cluster or center of mass of the dumb-bell are arranged with the most probability inside or outside of the core. The calculated observables for the elastic p–20 Ne and p–24 Mg scattering are in agreement with the existing experimental data. The influence of the deformed core contribution on the behavior of the calculated observables also is tested.

scholarly journals CLUSTER SHELL MODEL WAVE FUNCTION: STRUCTURE OF 6LI NUCLEUS

2020 ◽  
Vol 15 (1) ◽  
Author(s):  
Neelam Sinha ◽  
Piyush Sinha
Keyword(s):  
Wave Function ◽  
Shell Model ◽  
Single Particle ◽  
Cluster Model ◽  
Center Of Mass ◽  
Group Method ◽  
Model Wave Function ◽  
Model Wave ◽  
Generator Coordinate ◽  
Particle Wave Function

In this paper cluster model wave function for 6Li using Shell Model with definite parity and angular momentum is written along with cluster co-ordinates, which are relative to the center-of-mass of various clusters and involve with parameters. These parameters can be adjusted to some extent to obtain predictions close to experimental properties. The cluster model wave function is written along with resonating group method (RGM) and the Complex Generator Coordinate Technique (CGCT). The Complex Generator Coordinate Technique allows the transformation of the cluster model wave function written in terms of cluster co-ordinates into anti-symmetrized product of single particle wave function. This wave function is written in terms of single particle co-ordinates, the center-of-mass co-ordinates, parameter coordinates and generator coordinates.

MAGNETIC MOMENTS OF OCTET BARYONS IN A RELATIVISTIC POTENTIAL MODEL WITH PIONIC AND CENTER OF MASS CORRECTIONS

1994 ◽  
Vol 09 (03) ◽  
pp. 327-339 ◽  
Author(s):  
N. BARIK ◽  
S.N. JENA ◽  
D.P. RATH
Keyword(s):  
Experimental Data ◽  
Reasonable Agreement ◽  
Potential Model ◽  
Magnetic Moments ◽  
Center Of Mass ◽  
Mass Motion ◽  
Quark Potential ◽  
Phenomenological Potential ◽  
Relativistic Potential ◽  
Octet Baryons

The magnetic moments of the octet baryons are calculated in a chiral symmetric inde-pendent quark potential model of the form [Formula: see text] The residual interaction arising from the quark-pion coupling over and above the dominant confining one represented by this phenomenological potential, is treated as a low order perturbation. The correction due to center of mass motion is also taken into account appropriately. The results are in reasonable agreement with the experimental data.

Electromagnetic Form Factors and Static Properties of the Nucleons in a Chiral Symmetric Quark Model

1998 ◽  
Vol 07 (01) ◽  
pp. 69-88 ◽  
Author(s):  
S. N. Jena ◽  
M. R. Behera
Keyword(s):  
Experimental Data ◽  
Quark Model ◽  
Center Of Mass ◽  
Axial Vector ◽  
Form Factors ◽  
Coupling Constants ◽  
Mass Motion ◽  
Static Properties ◽  
Vector Coupling ◽  
Pseudo Scalar

Nucleon charge and magnetic form factors [Formula: see text] are computed in an independent-quark model with an equally mixed scalar and vector confining potential in square root form taking into account the corrections due to center-of-mass motion and pion-clound effects. The values obtained for the nucleon static properties such as the magnetic moment, charge radius and axial vector coupling constant in the neutron beta decay process agree reasonably with the corresponding experimental data. The pseudo-scalar and pseudo-vector pion-nucleon coupling constants are found to be gNNπ=13.43 and fNNπ=0.282, which are in excellent agreement with the experimental data.

Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

2020 ◽  
Vol 23 (3) ◽  
pp. 306-311
Author(s):  
Yu. Kurochkin ◽  
Dz. Shoukavy ◽  
I. Boyarina
Keyword(s):  
Constant Curvature ◽  
Jacobi Equation ◽  
Separation Of Variables ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Relative Distance ◽  
Dimensional Sphere ◽  
Body System ◽  
Spaces Of Constant Curvature ◽  
Hamilton Jacobi Equation

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

Calculating Fundamental Vibrational Frequencies of Rutile by Combining Ab Initio Method with GF Matrix Method

1994 ◽  
Vol 05 (02) ◽  
pp. 299-301
Author(s):  
Lin Libin ◽  
Zheng Xiangyin
Keyword(s):  
Experimental Data ◽  
Ab Initio ◽  
Matrix Method ◽  
Cluster Model ◽  
Normal Modes ◽  
Vibrational Frequencies ◽  
Ab Initio Method ◽  
Environment Factor ◽  
Factor Α ◽  
Good Agreement

Based on cluster model, we have calculated the fundamental vibrational frequencies of rutile by combining ab initio method and Wilson’s GF-matrix method. In the calculation, we have introduced the concept of environment factor α to correct the force field of the cluster model. The results of calculation are in good agreement to the experimental data and the normal modes give us clear physical picture of the crystal vibration.

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