Systematic study of deformation effects on fusion cross-sections using various proximity potentials

Open Physics ◽  
2014 ◽  
Vol 12 (6) ◽  
Author(s):  
Tapan Rajbongshi ◽  
Kushal Kalita
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Cross Sections ◽  
Fusion Cross Section ◽  
Proximity Potential ◽  
Deformation Parameters ◽  
Barrier Penetration ◽  
Experimental Fusion ◽  
Static Quadrupole ◽  
Better Than

AbstractThe influence of static quadrupole and hexadecapole (positive & negative) deformation of targets are studied using eleven different versions of nuclear potentials. The height and position of the interaction barrier for the reactions induced by spherical projectile (16O) on the deformed targets such as 166Er, 154Sm and 176Yb have been estimated. It is found that the nucleus-nucleus potential strongly depends on the value of the deformation parameters and orientation of the target. The experimental fusion cross-section of the reactions 16O + 176Yb, 16O +166Er and 16O +154Sm are investigated by applyingWong’s formula using various parameterizations of the proximity potential as well as an assessment of the results of a multi-dimensional barrier penetration model (BPM). The fusion cross-sections by Prox 77, Prox 88, Prox 00, Prox 00DP, Denisov DP, Bass 80, CW 76 and AW 95 potentials are found to be better than the rest in comparison to experimental data.

scholarly journals A comprehensive analysis of 9Li + 70Zn fusion cross section by using proximity potentials, temperature dependent density distributions and nuclear potentials

2019 ◽  
Vol 65 (5 Sept-Oct) ◽  
pp. 573
Author(s):  
M. Aygun ◽  
Z. Aygun
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Cross Sections ◽  
Fusion Cross Section ◽  
Comprehensive Analysis ◽  
Nuclear Potential ◽  
Saxon Potential ◽  
Temperature Dependent ◽  
Density Distributions ◽  
Dependent Density

The fusion cross section of $^{9}$Li + $^{70}$Zn reaction is studiedin an extensive manner within the framework of different theoreticalapproaches. For this purpose, three different methods which consistof proximity potentials, temperature dependent densities andtemperature dependent nuclear potentials are used in order todetermine the real part of the nuclear potential. The imaginary partis considered as Woods-Saxon potential. The calculated fusion crosssections are compared with the experimental data. The theoreticalresults describe the experimental data very well. It is seen thatthe applied approaches present to be different ways to study thereactions involving fusion cross sections.

Fusion and Breakup Reactions of 17S + 208Pb and 15C + 232ThHalo Nuclei Systems

2015 ◽  
Vol 11 (2) ◽  
pp. 2972-2978
Author(s):  
Fouad A. Majeed ◽  
Yousif A. Abdul-Hussien
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Fusion Reaction ◽  
Fusion Cross Section ◽  
Reaction Cross ◽  
Recent Experimental Data ◽  
Barrier Distribution ◽  
Coupled Channel ◽  
Total Fusion ◽  
Full Quantum

In this study the calculations of the total fusion reaction cross section have been performed for fusion reaction systems 17F + 208Pb and 15C + 232Th which involving halo nuclei by using a semiclassical approach.The semiclassical treatment is comprising the WKB approximation to describe the relative motion between target and projectile nuclei, and Continuum Discretized Coupled Channel (CDCC) method to describe the intrinsic motion for both target and projectile nuclei. For the same of comparsion a full quantum mechanical clacualtions have been preforemd using the (CCFULL) code. Our theorticalrestuls are compared with the full quantum mechaincialcalcuations and with the recent experimental data for the total fusion reaction  checking the stability of the distancesThe coupled channel calculations of the total fusion cross section σfus, and the fusion barrier distribution Dfus. The comparsion with experiment proves that the semiclassiacl approach adopted in the present work reproduce the experimental data better that the full quantal mechanical calcautions. 

scholarly journals Influence of halo single-neutron transfer on near barrier $$^{15}$$C + $$^{12}$$C total fusion

2021 ◽  
Vol 57 (5) ◽  
Author(s):  
N. Keeley ◽  
K. W. Kemper ◽  
K. Rusek
Keyword(s):  
Cross Section ◽  
Fusion Cross Section ◽  
Transfer Reactions ◽  
Halo Nuclei ◽  
Neutron Halo ◽  
Neutron Transfer ◽  
Model Calculations ◽  
Single Neutron ◽  
Barrier Penetration ◽  
Total Fusion

AbstractA recent comparison of the average fusion cross section, $$\left\langle \sigma _\mathrm {F}\right\rangle $$ σ F , for energies just above the Coulomb barrier for the $$^{12-15}$$ 12 - 15 C + $$^{12}$$ 12 C systems found that the behaviour as a function of projectile neutron excess could not be satisfactorily explained by static barrier penetration model calculations and suggested that the neutron dynamics plays an important rôle. In this work we demonstrate that the ($$^{15}$$ 15 C,$$^{14}$$ 14 C) single neutron transfer has a significant influence on the above barrier $$^{15}$$ 15 C + $$^{12}$$ 12 C total fusion, although not quite in the way expected since it leads to a reduction in the cross section, contrary to the trend in the measured $$\left\langle \sigma _\mathrm {F}\right\rangle $$ σ F . However, this result underlines the danger of ignoring the effect of neutron transfer reactions on fusion in systems involving neutron halo nuclei.

Production cross-section of heavy flavored hadrons in pp collision at s = 7 TeV

2019 ◽  
Vol 34 (19) ◽  
pp. 1950150 ◽  
Author(s):  
Muhammad Ajaz ◽  
Irfan Khan ◽  
M. K. Suleymanov
Keyword(s):  
Experimental Data ◽  
Transverse Momentum ◽  
Differential Cross Section ◽  
Cross Section ◽  
Momentum Distribution ◽  
Cross Sections ◽  
Production Cross ◽  
Center Of Mass ◽  
Transverse Momentum Distribution ◽  
Mass Frame

The transverse momentum distribution of the differential production cross-sections of heavy flavored charm hadrons [Formula: see text], [Formula: see text] in pp collisions at 7 TeV are simulated. Predictions of DPMJETIII.17-1, HIJING1.383 and Sibyll2.3c are compared to the differential cross-section measurements of the LHCb experimental data presented in the region of [Formula: see text] and [Formula: see text], where the pp center of mass frame is used to measure the transverse momentum and rapidity. The models reproduce only some regions of [Formula: see text] and/or bins of [Formula: see text] but none of them predict completely all the [Formula: see text] bins over the entire [Formula: see text] range.

Evaluation of Optical Model Potential Using Neutron Induced Cross Section Reaction for Spherical Uranium-238 Isotope up to 20MeV

2015 ◽  
Vol 59 ◽  
pp. 26-34
Author(s):  
Iman Tarik Al-Alawy ◽  
Ronak Ikram Ali
Keyword(s):  
Experimental Data ◽  
Energy Range ◽  
Cross Section ◽  
Cross Sections ◽  
Optical Model ◽  
Threshold Energy ◽  
Model Potential ◽  
Model Parameters ◽  
Incident Neutron ◽  
Optical Model Potential

The evaluation are based on mainly on the calculations of the nuclear optical model potential and relevant parameters are collected and selected from References Input Parameter Library (RIPL) which is being developed under the international project coordinated by the International Atomic Energy Agency (IAEA). The analyzing of a complete energy range has done starting from threshold energy for each reaction. The cross sections are reproduced in fine steps of incident neutron energy with 0.01MeV intervals with their corresponding errors. The recommended cross sections for available experimental data taken from EXFOR library have been calculated for all the considered neutron induced reactions for U-238 isotopes. The calculated results are analyzed and compared with the experimental data. The optimized optical potential model parameters give a very good agreement with the experimental data over the energy range 0.001-20MeV for neutron induced cross section reactions (n,f), (n,tot), (n,el), (n,inl), (n,2n), (n,3n), and (n,γ) for spherical U-238 target elements.

In-Plane Vibrations of Thick Circular Rings With T or I Cross Sections

1979 ◽  
Vol 46 (2) ◽  
pp. 470-472
Author(s):  
H. Lecoanet ◽  
J. Piranda
Keyword(s):  
Experimental Data ◽  
Eigenvalue Problem ◽  
Cross Section ◽  
Cross Sections ◽  
Rectangular Cross Section ◽  
Circular Rings ◽  
Theoretical Results ◽  
Good Agreement

This paper deals with the problem of eigenfrequencies and eigenvectors for rings whose cross section may be decomposed in basic rectangular cross sections. The solution is derived from a solution of the in-plane eigenvalue problem for rectangular cross-section thick rings. A good agreement between theoretical results and experimental data is obtained.

Effect of entrance channel on dynamics of heavy ions collision

2016 ◽  
Vol 25 (01) ◽  
pp. 1650005
Author(s):  
D. Naderi
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Heavy Ions ◽  
Fusion Cross Section ◽  
Evaporation Residue ◽  
Entrance Channel ◽  
Langevin Equations ◽  
Combined Model ◽  
Fission Process ◽  
Cross Section Formula

A combined dynamical model using concept of dinuclear systems (DNS) and one-dimensional (1D) Langevin equations was applied to investigate the effect of entrance channel on dynamics of heavy ions collision. The [Formula: see text]Si+[Formula: see text]Er, [Formula: see text]O+[Formula: see text]W and [Formula: see text]F+[Formula: see text]Ta reactions which formed the compound nucleus [Formula: see text]Pb have been considered to study this effect. We studied these reactions dynamically and calculated the ratio of evaporation residue cross-section to fusion cross-section [Formula: see text] as a tool for investigation of entrance channel effect. Results of combined model are compared with available experimental data and results of 1D Langevin equations. Obtained results based on combined model are in better agreement with experimental data in comparison with results of Langevin equations. We concluded for [Formula: see text]Si+[Formula: see text]Er and [Formula: see text]F+[Formula: see text]Ta reactions the results of combined model that support the quasi-fission process are different relative to Langevin dynamical approach, whereas for [Formula: see text]O+[Formula: see text]W system the two models give similar results.

Axial Loading of Annular Bonded Rubber Blocks

2003 ◽  
Vol 76 (5) ◽  
pp. 1194-1211 ◽  
Author(s):  
J. M. Horton ◽  
G. E. Tupholme ◽  
M. J. C. Gover
Keyword(s):  
Experimental Data ◽  
Stress Distribution ◽  
Closed Form ◽  
Cross Section ◽  
Classical Theory ◽  
Cross Sections ◽  
Axial Loading ◽  
Theory Of Elasticity ◽  
Governing Equations ◽  
Annular Cross Section

Abstract Closed-form expressions are derived using a superposition approach for the axial deflection and stress distribution of axially loaded rubber blocks of annular cross-section, whose ends are bonded to rigid plates. These satisfy exactly the governing equations and conditions based upon the classical theory of elasticity. Readily calculable relationships are derived for the corresponding apparent Young's modulus, Ea, and the modified modulus, Ea′, and their numerical values are compared with the available experimental data. Elementary expressions for evaluating Ea and Ea′ approximately are deduced from these, in forms which are closely analogous to those given previously for blocks of circular and long, thin rectangular cross-sections. The profiles of the deformed lateral surfaces of the block are discussed and it is confirmed that the assumption of parabolic lateral profiles is not valid generally.

Triple differential cross sections for the ionization of helium by intermediate-energy electrons

1988 ◽  
Vol 66 (1) ◽  
pp. 82-85
Author(s):  
K. S. Baliyan ◽  
M. K. Srivastava
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Differential Cross ◽  
Intermediate Energy ◽  
Incident Electron Energy ◽  
Cross Section Data ◽  
Satisfactory Description ◽  
Triple Differential Cross Section ◽  
Section Data ◽  
Better Than

The recent triple differential cross-section data of Jung for the ionization of helium in the coplanar asymmetric geometry at 250 eV incident electron energy is analyzed within the framework of the second Born (B2) and modified Glauber (MG) approximations. At this energy B2 and MG results, although better than those obtained by using the first Born and Glauber approximations, do not lead to a satisfactory description of the experimental data in all the kinematic situations considered here.

scholarly journals Statistical model calculations of the 7Li +11 Β reaction

2019 ◽  
Vol 10 ◽  
pp. 165
Author(s):  
C. Tsabaris ◽  
C. T. Papadopoulos ◽  
R. Vlastou ◽  
A. A. Pakou ◽  
P. A. Assimakopoulos ◽  
...  
Keyword(s):  
Experimental Data ◽  
Statistical Model ◽  
Energy Range ◽  
Cross Section ◽  
Compound Nucleus ◽  
Cross Sections ◽  
Coulomb Barrier ◽  
Reaction Channel ◽  
Model Calculations ◽  
The Individual

The 7Li + 11 Β reaction has been studied in the energy range from a little below to about three times the Coulomb barrier by measuring the cross section of the 7- ray transitions in the residual nuclei produced. Statistical compound nucleus calculations have been performed in order to interpret the experimental data as well as to extract cross sections of the individual exit channels. The statistical compound nucleus theory can reproduce rather well the absolute j - ray and the various reaction channel excitation functions.

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