MICROSCOPIC NEUTRON OPTICAL POTENTIAL IN THE ENERGY REGION 65–225 MeV

2011 ◽  
Vol 20 (09) ◽  
pp. 2017-2026 ◽  
Author(s):  
SYED RAFI ◽  
W. HAIDER
Keyword(s):  
Experimental Data ◽  
Energy Region ◽  
Optical Potential ◽  
Nucleon Nucleon ◽  
Scattering Data ◽  
Potential Analysis ◽  
Hartree Fock ◽  
Empirical Potentials ◽  
Microscopic Optical Potential ◽  
First Time

In the present work, we report a microscopic optical potential analysis of the extensive neutron elastic scattering data from 12 C , 40 Ca and 208 Pb in the 65–225 MeV energy region. Brueckner–Hartree–Fock method has been used to calculate the optical potential, where one requires internucleon potential to calculate reaction matrices which are then folded over the nucleon densities in the target nuclei. We report the predictions of the calculated potential using Argonne v-18 and Urbana v-14 local nucleon–nucleon potentials. The modern potential v-18 has been used for the first time to calculate the nucleon–nucleus optical potential. We also compare our predictions with the empirical potentials. The results indicate that the predictions of our microscopic potential are in better agreement with the experimental data as compared with the empirical global optical potentials.

MICROSCOPIC OPTICAL POTENTIAL FROM ARGONNE INTER-NUCLEON POTENTIALS

2011 ◽  
Vol 20 (11) ◽  
pp. 2317-2327 ◽  
Author(s):  
DIPTI PACHOURI ◽  
MANJARI SHARMA ◽  
SYED RAFI ◽  
W. HAIDER
Keyword(s):  
Binding Energy ◽  
Nuclear Matter ◽  
Optical Potential ◽  
Hard Core ◽  
Soft Core ◽  
Scattering Data ◽  
Test Case ◽  
Hartree Fock ◽  
Reaction Matrix ◽  
Microscopic Optical Potential

In the present work we describe our results concerning the calculation of equation of state of symmetric zero temperature nuclear matter and the microscopic optical potential using the soft-core Argonne inter-nucleon potentials in first order Brueckner–Hartree–Fock (BHF) theory. The nuclear matter saturates at a density 0.228 nucleon/fm 3 with 17.52 MeV binding energy per nucleon for Argonne av-14 and at 0.228 nucleon/fm 3 with 17.01 MeV binding energy per nucleon for Argonne av-18. As a test case we present an analysis of 65 and 200 MeV protons scattering from 208 Pb . The Argonne av-14 has been used for the first time to calculate nucleon optical potential in BHF and analyze the nucleon scattering data. We also compare our reaction matrix results with those using the old hard-core Hamada–Johnston and the soft-core Urbana uv-14 and Argonne av-18 inter-nucleon potentials. Our results indicate that the microscopic potential obtained using av-14 gives marginally better agreement with the experimental data than the other three Hamiltonians used in the present work.

scholarly journals Optical Potentials: Microscopic vs. Phenomenological Approaches

2019 ◽  
Vol 223 ◽  
pp. 01015
Author(s):  
Paolo Finelli ◽  
Matteo Vorabbi ◽  
Carlotta Giusti
Keyword(s):  
Optical Potential ◽  
Lead Isotopes ◽  
Nucleon Nucleon ◽  
Chiral Expansion ◽  
Scattering Data ◽  
Proton Scattering ◽  
Optical Potentials ◽  
Elastic Proton ◽  
Microscopic Optical Potential ◽  
Fifth Order

In this work we study the performances of our microscopic optical potential [1, 2], derived from nucleon-nucleon chiral potentials at fifth order (N4LO), in comparison with those of a successful non-relativistic phenomenological optical potential in the description of elastic proton scattering data on tin and lead isotopes at energies around and above 200 MeV. Our results indicate that microscopic optical potentials derived from nucleon-nucleon chiral potentials at N4LO can provide reliable predictions for observables of stable and exotic nuclei, even at energies where the robustness of the chiral expansion starts to be questionable.

scholarly journals Differential and integral cross sections for electron elastic scattering by ammonia for incident energies ranging from 10 eV to 20 keV

2018 ◽  
Vol 64 (5) ◽  
pp. 498
Author(s):  
Hocine Aouchiche
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Potential ◽  
Large Set ◽  
Quantum Calculation ◽  
Hartree Fock ◽  
Spherical Complex ◽  
Static Part ◽  
Model Point

Differential and integral cross sections for elastic scattering of electron by NH3 molecule are investigated for the energy ranging from 10 eV to 20 keV.  The calculations are carried out in the framework of partial wave formalism describing the target molecule by means of one center molecular Hartree-Fock functions.  A spherical complex optical potential used includes a static part – obtained here numerically from quantum calculation – and fine effects like correlation, polarization and exchange potentials. The results obtained in this model point out clearly the role played by the exchange and the correlation-polarization contributions in particular at lower scattering angles and lower incident energies. Both differential and integral cross sections obtained are compared with a large set of experimental data available in the literature and well agreement is found throughout the scattering angles and whole energy range investigated here.

POTENTIAL OF NUCLEON INTERACTION WITH ODD NUCLEI IN THE HARTREE-FOCK THEORY

1999 ◽  
Vol 08 (02) ◽  
pp. 137-157 ◽  
Author(s):  
S. M. KRAVCHENKO ◽  
A. P. SOZNIK
Keyword(s):  
Optical Potential ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Nuclear Surface ◽  
Nucleon Interaction ◽  
Hartree Fock ◽  
Order Of Magnitude ◽  
Nucleon Nucleon Interaction ◽  
Analytical Expressions ◽  
Strong Spin

An expression for the real part of the optical potential of nucleon interaction with odd nuclei is derived in the Hartree-Fock approximation with effective density-dependent nucleon-nucleon interaction. It is shown for 13 C nucleus, as an example, that this potential contains the central interaction, as well as two spin-orbit forces connected with the spins of scattered nucleon and nucleus, and quite strong spin-spin and tensor interactions. The simple analytical expressions have been obtained for these potentials. The radial distributions of the interactions obtained and their energy dependences are investigated. It is shown that all potentials differ for neutron and proton scattering while the spin-spin and tensor forces in both cases have opposite signs, complicated radial dependences and are the same by an order of magnitude on the nuclear surface.

scholarly journals An analytical formula for proton momentum distribution in nuclei with A>4

2019 ◽  
Vol 10 ◽  
pp. 248
Author(s):  
G. S. Anagnostatos ◽  
A. N. Antonov ◽  
J. Giapitzakis ◽  
P. Ginis ◽  
S. E. Massen ◽  
...  
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Momentum Distribution ◽  
Analytical Formula ◽  
Nucleon Nucleon ◽  
Exotic Nuclei ◽  
Wave Functions ◽  
Proton Momentum ◽  
Correlation Effects ◽  
Hartree Fock

A successful analytical formula for the proton momentum distribution in all nuclei with A>4 accounting for nucleon-nucleon correlation effects, is presented. In this formula the Isomorphic Shell Model wave functions are employed, which are readily available for all nuclei all the way up to 2 0 8Pb. However, other wave functions (e.g., shell model or Hartree-Fock) could be used with almost equivalent results. Available experimental data for 4He, 1 2C and 5 6Fe and predictions of other theories, e.g., for 4 0Ca, are used for comparison of the predictions of the present formula. A reservation is kept concerning the validity of this formula for the momentum distribution of exotic nuclei.

scholarly journals Comparative analysis of proximity potentials to describe scattering of 13C projectile off 12C, 16O, 28Si and 208Pb nuclei

2018 ◽  
Vol 64 (2) ◽  
pp. 149 ◽  
Author(s):  
M. Aygun
Keyword(s):  
Experimental Data ◽  
Comparative Analysis ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Potential ◽  
Saxon Potential ◽  
208Pb Target ◽  
Scattering Cross Sections ◽  
First Time ◽  
Theoretical Results

In this work, we examine the elastic scattering cross sections of 13C on 12C, 16O, 28Si and 208Pb target nuclei at different incident energies. For the first time, we apply six types of proximity potentials such as Broglia andWinther 1991 (BW 91), AageWinther (AW95), Christensen and Winther 1976 (CW 76), Bass 1973 (Bass 73), Bass 1977 (Bass 77) and Bass 1980 (Bass 80) in order to obtain the real part of the optical potential. The imaginary part is taken as the Woods-Saxon potential. Theoretical results are compared with each other as well as the experimental data.

scholarly journals Interaction of real and virtual NN̅ pairs in J/ψ decays

2018 ◽  
Vol 181 ◽  
pp. 01020
Author(s):  
Alexander Milstein ◽  
Sergey Salnikov
Keyword(s):  
Experimental Data ◽  
Mass Spectrum ◽  
Invariant Mass ◽  
Cross Sections ◽  
Energy Region ◽  
Mass Spectra ◽  
Optical Potential ◽  
Invariant Mass Spectrum ◽  
Decay Rates ◽  
Angular Distributions

The differential decay rates of the processes J/ψ→pp̅π0, J/ψ→pp̅η, J/ψ→pp̅ω, J/ψ→pp̅ρ, and J/ψ→pp̅γ close to the pp̅ threshold are calculated with the help of the NN̅ optical potential. We use the potential which has been suggested to fit the cross sections of NN̅ scattering together with all other NN̅ experimental data available. The pp̅ nvariant mass spectra of J/ψ decays are in agreement with the available experimental data. The anisotropy of the angular distributions of the decays J/ψ→pp̅π0(η), which appears due to the tensor forces in the NN̅ interaction, is predicted close to the pp̅ threshold. This anisotropy is large enough to be investigated experimentally. Such measurements would allow one to check the accuracy of the model of NN̅ interaction, is predicted close to the pp̅ threshold. This anisotropy is large enough to be investigated experimentally. Such measurements would allow one to check the accuracy of the model of NN̅ interaction. Using our potential and the Green’s function approach we also describe the peak in the η′ π+ π- invariant mass spectrum in the decay J/ψ → γ η′ π+ π- in the energy region near the NN̅ threshold.

PROBING THE EQUATION OF STATE OF NUCLEAR MATTER IN THE NUCLEAR RAINBOW SCATTERING

2008 ◽  
Vol 22 (25n26) ◽  
pp. 4684-4696
Author(s):  
DAO T. KHOA ◽  
W. VON OERTZEN ◽  
H. G. BOHLEN
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Nucleon Nucleon ◽  
Scattering Data ◽  
Hartree Fock ◽  
Wave Interference ◽  
Model Study ◽  
Nuclear Incompressibility ◽  
Nuclear Rainbow ◽  
Rainbow Scattering

We present a brief overview of the light wave interference in the atmospheric rainbow and how a similar mechanism can be observed in the elastic nucleus-nucleus scattering which gives rise to the nuclear rainbow. The latter phenomenon, observed at energies of around few tens MeV/nucleon, has been well investigated based on the basic concepts of the nuclear optical model. Given a weak absorption associated with the nuclear rainbow scattering, the observed data can be used to probe the density dependence of the effective nucleon-nucleon (NN) interaction based on the folding model study of elastic scattering. Most of the rainbow scattering data were found to be best described by a density dependent NN interaction which gives a nuclear incompressibility K ≈ 230 – 260 MeV in the Hartree-Fock calculation of nuclear matter. This result implies a rather soft equation of state of nuclear matter.

Microscopic optical potential analyses of carbon–carbon elastic scattering

1983 ◽  
Vol 61 (12) ◽  
pp. 1660-1662 ◽  
Author(s):  
H. B. Bidasaria ◽  
L. W. Townsend
Keyword(s):  
Elastic Scattering ◽  
Marked Improvement ◽  
Optical Potential ◽  
Nucleon Nucleon ◽  
Slope Parameter ◽  
Diffractive Scattering ◽  
Double Folding ◽  
Eikonal Expansion ◽  
Microscopic Optical Potential ◽  
Theory And Experiment

Utilizing eikonal phase shifts determined from a microscopic double-folding optical potential, marked improvement in the agreement between theory and experiment, for elastic carbon–carbon scattering between 200 and 300 MeV, is obtained when only those values for the nucleon–nucleon slope parameter, appropriate for diffractive scattering, are used. The appropriateness of the perturbative eikonal expansion is discussed by comparison with recent results, obtained for the same potentials, using a more exact complex Wentzell–Kramers–Brillouin (WKB) formalism.

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