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.

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.

A study of nuclear matter using separable potentials

1969 ◽  
Vol 47 (5) ◽  
pp. 499-508 ◽  
Author(s):  
R. J. W. Hodgson
Keyword(s):  
Nuclear Matter ◽  
Low Energy ◽  
Scattering Data ◽  
Hartree Fock ◽  
Saturation Properties ◽  
Energy Scattering ◽  
Reaction Matrix ◽  
Separable Potentials ◽  
Parameter Values ◽  
Average Approximation

The saturation properties of nuclear matter are determined using three different separable potentials. Results found using both second-order Hartree–Fock and an approximate reaction matrix are compared. In the latter method the angle-average approximation is examined. Calculations using the reaction matrix are straightforward and are found to be relatively insensitive to the potential forms and parameter values as long as the low-energy scattering data is satisfied.

NUCLEON–NUCLEUS OPTICAL POTENTIAL FROM HARD- AND SOFT-CORE INTERNUCLEON POTENTIALS

2005 ◽  
Vol 14 (05) ◽  
pp. 807-819 ◽  
Author(s):  
WASI HAIDER ◽  
BHARTI SHARMA ◽  
J. R. ROOK
Keyword(s):  
Experimental Data ◽  
Binding Energy ◽  
Cross Section ◽  
Energy Region ◽  
Optical Potential ◽  
Hard Core ◽  
Pauli Principle ◽  
Soft Core ◽  
Polarization Data ◽  
Brueckner Theory

We have compared the binding energy of nuclear matter and the nucleon–nucleus optical potential, calculated in Brueckner theory starting from both the soft-core Urbana V-14 and the hard-core Hamada–Johnston internucleon potentials. Our results show that the real central part of the optical potential calculated from V-14 is about 10 MeV deeper than from the hard-core potential in the energy region 1–200 MeV. This greater depth mainly comes from the internucleon S- and D-states. In these states, the V-14 and Hamada–Johnston potentials give different phase shifts, the V-14 being in better agreement with experimental data. This difference is further enhanced by the Pauli principle in the calculation of the optical potential. Our analysis of proton–40 Ca differential cross-section and polarization data, in the energy region 30–200 MeV, shows that the optical potential calculated using V-14 is in better agreement with the data as compared with the Hamada–Johnston potential.

Soft-Core Model in Nuclear Matter Calculations

1969 ◽  
Vol 24 (7) ◽  
pp. 1037-1039
Author(s):  
R Kar ◽  
M Roy
Keyword(s):  
Binding Energy ◽  
Nuclear Matter ◽  
Soft Core ◽  
Core Model ◽  
Equilibrium Density ◽  
Core Potential ◽  
Thomas Fermi ◽  
Soft Core Potential

Abstract Using a Thomas-Fermi method developed by KUMAR, LE COUTEUR and ROY 1 , it is shown here that the two-body soft-core potential suggested by KÖHLER and WAGMARE 2 does not give rise to correct binding energy and equilibrium density in nuclear matter calculations.

Complex microscopic optical potential between two nuclei based on Dirac-Brueckner theory for nuclear matter

1988 ◽  
Vol 490 (3) ◽  
pp. 715-732 ◽  
Author(s):  
N. Ohtsuka ◽  
M. Shabshiry ◽  
R. Linden ◽  
H. Müther ◽  
Amand Faessler
Keyword(s):  
Nuclear Matter ◽  
Optical Potential ◽  
Microscopic Optical Potential ◽  
Brueckner Theory

scholarly journals An Approximation to the Reaction Matrix in Nuclear Matter

1972 ◽  
Vol 25 (1) ◽  
pp. 1 ◽  
Author(s):  
DWE Blatt ◽  
BHJ McKellar
Keyword(s):  
Nuclear Matter ◽  
Hard Core ◽  
Reference Spectrum ◽  
Nucleon System ◽  
Core Potential ◽  
Reaction Matrix ◽  
T Matrix

It has been shown by Butler et al. that a good approximation to the Bethe-Goldstone wavefunction can be constructed from eigenfunctions of the free two-nucleon system. The approximation is therefore closely related to the T-matrix. In this paper, it is used to derive an approximate G-matrix in terms of the T-matrix. As an illustration of this approach, the resulting approximate G-matrix is compared with the reference spectrum approximation of Bethe, Brandow, and Petschek for the simple case of a pure hard core potential.

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.

Binding Energy of Nuclear Matter with Pure Hard Core Interaction

1978 ◽  
Vol 490 (4) ◽  
pp. 241-246
Author(s):  
M. Y. M. Hassan ◽  
S. S. Montasser
Keyword(s):  
Binding Energy ◽  
Nuclear Matter ◽  
Hard Core

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.

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