Semimicroscopic Optical Potential with Effective Density-Dependent Nucleon-Nucleon Interaction

1998 ◽  
Vol 07 (04) ◽  
pp. 465-483 ◽  
Author(s):  
S. M. Kravchenko ◽  
V. I. Kuprikov ◽  
A. P. Soznik
Keyword(s):  
Optical Potential ◽  
Particle Density ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Potential Influence ◽  
Density Dependent ◽  
Nucleus Scattering ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

An expression for the optical potential is obtained in the nuclear matter approximation while taking into account the rearrangement potential for the generalized two-particle density-dependent Skyrme forces. The rearrangement potential influence on the nucleon-nucleus scattering is investigated. It is shown that two- and three-particle Skyrme forces are not equivalent in calculating the imaginary part of the optical potential. The intensity of the optical potential (both its real and imaginary parts) appears to be decreased considerably when the rearrangement potential is taken into account. As a result the dependence of scattering phase shifts on the incident nucleons energy is changed markedly.

scholarly journals A Phenomenological Nucleon-Nucleon Interaction

1986 ◽  
Vol 39 (4) ◽  
pp. 461 ◽  
Author(s):  
L Berge ◽  
L Petris
Keyword(s):  
Elastic Scattering ◽  
Momentum Space ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Nucleon Interaction ◽  
Dependent Form ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

A phenomenological NN interaction has been developed in momentum space to fit the elastic scattering phase shifts, the deuteron properties and to saturate nuclear matter. The special features of this interaction are gaussian momentum dependent form factors and the use of only three mesons to characterise the phase shifts.

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.

MICROSCOPIC NUCLEON–NUCLEUS OPTICAL POTENTIAL WITH REARRANGEMENT EFFECTS BASED ON THE EFFECTIVE SKYRME FORCES

2009 ◽  
Vol 18 (09) ◽  
pp. 1845-1862 ◽  
Author(s):  
V. V. PILIPENKO ◽  
V. I. KUPRIKOV ◽  
A. P. SOZNIK
Keyword(s):  
Cross Sections ◽  
Optical Potential ◽  
Nucleon Nucleon ◽  
Reaction Cross ◽  
Effective Density ◽  
Elastic Neutron ◽  
Calculation Results ◽  
Nucleon Nucleon Interaction ◽  
Reasonable Description ◽  
Microscopic Optical Potential

The nucleon scattering on even–even nuclei in the medium-energy region has been analyzed on the basis of microscopic optical potential (OP) obtained from nuclear-matter calculations with using effective density-dependent nucleon–nucleon interaction of Skyrme type with taking account of the rearrangement potential. Calculations have been performed for volume integrals and rms radii of nucleon–nucleus OP, for energy dependencies of total and total reaction cross sections of neutron– and proton–nucleus scattering and for differential cross sections of the elastic neutron scattering at several energies on various target nuclei. Comparison of the calculation results for the mentioned quantities with corresponding experimental data has been carried out, which has shown a principal possibility of their reasonable description in the framework of the model under consideration.

EQUATION OF STATE OF ASYMMETRIC NUCLEAR MATTER WITH GOGNY AND COULOMB INTERACTIONS

1990 ◽  
Vol 05 (14) ◽  
pp. 1071-1080 ◽  
Author(s):  
S. W. HUANG ◽  
M. Z. FU ◽  
S. S. WU ◽  
S. D. YANG
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Coulomb Interaction ◽  
Chemical Potential ◽  
Compression Modulus ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Coulomb Interactions ◽  
Asymmetric Nuclear Matter ◽  
Nucleon Nucleon Interaction

The equation of state of the asymmetric nuclear matter is calculated with the Gogny D1 effective density-dependent nucleon-nucleon interaction and the Coulomb interaction in the framework of the finite-temperature HF method with the rearrangement term. The dependence of the thermodynamical properties such as the critical temperature of the liquid-gas phase transition, the chemical potential, the compression modulus and the entropy on the Coulomb interaction in nuclear matter is treated by using a shielded two-body Coulomb potential and this method has been found to be a reasonable and effective approach.

scholarly journals Low-energy neutron scattering on light nuclei and $^{19}$B as a $^{17}$B-$n$-$n$ three-body system in the unitary limit

2020 ◽  
Author(s):  
Jaume Carbonell ◽  
Emiko Hiyama ◽  
Rimantas Lazauskas ◽  
Francisco Miguel Marqués
Keyword(s):  
Scattering Length ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Unitary Limit ◽  
Body System ◽  
Resonant States ◽  
Pauli Repulsion ◽  
Nucleus Scattering ◽  
Nucleon Nucleon Interaction ◽  
Three Body

We consider the evolution of the neutron-nucleus scattering length for the lightest nuclei. We show that, when increasing the number of neutrons in the target nucleus, the strong Pauli repulsion is weakened and the balance with the attractive nucleon-nucleon interaction results into a resonant virtual state in ^{18}18B. We describe ^{19}19B in terms of a ^{17}17B-nn-nn three-body system where the two-body subsystems ^{17}17B-nn and nn-nn are unbound (virtual) states close to the unitary limit. The energy of ^{19}19B ground state is well reproduced and two low-lying resonances are predicted. Their eventual link with the Efimov physics is discussed. This model can be extended to describe the recently discovered resonant states in ^{20,21}20,21B.

DENSITY-DEPENDENT CLUSTER MODEL OF α DECAY

2005 ◽  
Vol 19 (15n17) ◽  
pp. 2365-2368 ◽  
Author(s):  
CHANG XU ◽  
ZHONGZHOU REN
Keyword(s):  
Nuclear Physics ◽  
Cluster Model ◽  
Daughter Nucleus ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Α Decay ◽  
Density Dependent ◽  
Density Distributions ◽  
Nucleon Nucleon Interaction ◽  
Double Folding

A new cluster model of α decay is proposed where the effective potential between α-cluster and daughter nucleus is obtained from the double folding integral of the renormalized M3Y nucleon-nucleon interaction and of the density distributions of α particle and daughter nucleus. Without introducing any extra adjustment on the potential, the new model (named as the density-dependent cluster model) can successfully reproduce the experimental half-lives of α decay within a factor of 3. The model also works well for new superheavy elements which are the current interests of nuclear physics and chemistry.

scholarly journals Density-dependent nucleon-nucleon interaction from Urbana UIX three-nucleon force

2011 ◽  
Vol 336 ◽  
pp. 012016 ◽  
Author(s):  
Alessandro Lovato ◽  
Omar Benhar ◽  
Stefano Fantoni ◽  
Alexey Yu Illarionov ◽  
Kevin E Schmidt
Keyword(s):  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Nucleon Force ◽  
Density Dependent ◽  
Nucleon Nucleon Interaction
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