Variational Calculations in Light Nuclei with Realistic Nucleon-Nucleon Interactions: Ground-State Deformations

1967 ◽  
Vol 18 (13) ◽  
pp. 496-498 ◽  
Author(s):  
Alexander Lande
Keyword(s):  
Ground State ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Variational Calculations ◽  
Nucleon Interactions

scholarly journals Study of the Ground-State Energies of Some Nuclei Using Hybrid Model

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
R. Hussien ◽  
Sh. M. Sewailem ◽  
L. I. Abou-Salem
Keyword(s):  
Hybrid Model ◽  
Ground State ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Exchange Potential ◽  
Small Scale ◽  
Quark Interaction ◽  
Nucleon Nucleon Interaction ◽  
The One ◽  
Ground State Energies

The quark-quark (QQ) interaction as a perturbed term to the nucleon-nucleon interaction (NN) without any coupling between them is studied in a hybrid model. This model is used to calculate the ground-state energies of 2H1 and 4He2 nuclei. In a semirelativistic framework, this model is encouraged for light nuclei and the instanton-induced interaction by using the QQ potential and the NN interaction for a small scale around the hadron boundaries. This hybrid model depends on two theories, the one-boson exchange potential (OBEP) and the Cornell-dressed potential (CDP) for QQ. A small effect of quark-quark interaction is obtained on the values of the ground-state energies, around 6.7 and 1.2 percentage for 2H1 and 4He2, respectively nuclei.

VMC CALCULATIONS OF THE GROUND STATE PROPERTIES OF NUCLEAR MATTER

2005 ◽  
Vol 14 (02) ◽  
pp. 255-267 ◽  
Author(s):  
KAAN MANİSA ◽  
ÜLFET ATAV ◽  
RIZA OGUL
Keyword(s):  
Nuclear Matter ◽  
Ground State ◽  
Nucleon Nucleon ◽  
Neutron Matter ◽  
Potential Term ◽  
Ground State Properties ◽  
Dependent Potential ◽  
Variational Monte Carlo Method ◽  
Kinetic And Potential Energies ◽  
Good Agreement

A Variational Monte Carlo method (VMC) is described for the evaluation of the ground state properties of nuclear matter. Equilibrium properties of symmetric nuclear matter and neutron matter are calculated by the described VMC method. The Urbana ν14 potential is used for the nucleon–nucleon interactions in the calculations. Three- and more-body interactions are included as a density dependent potential term. Total, kinetic and potential energies per particle are obtained for nuclear and neutron matter. Pressure values of nuclear and neutron matter are also calculated at various densities. The binding energy of nuclear matter is found to be -16.06 MeV at a saturation density of 0.16 fm -3. The results obtained are in good agreement with those obtained by various authors with different potentials and techniques.

scholarly journals Collective multipole excitations based on correlated realistic nucleon-nucleon interactions

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
N. Paar ◽  
P. Papakonstantinou ◽  
H. Hergert ◽  
R. Roth
Keyword(s):  
Nucleon Nucleon ◽  
Nucleon Interactions

Dominance of nucleon-nucleon interactions inα+C12total reaction cross sections

1982 ◽  
Vol 26 (1) ◽  
pp. 301-303 ◽  
Author(s):  
R. M. DeVries ◽  
N. J. DiGiacomo ◽  
J. S. Kapustinsky ◽  
J. C. Peng ◽  
W. E. Sondheim ◽  
...  
Keyword(s):  
Cross Sections ◽  
Nucleon Nucleon ◽  
Reaction Cross ◽  
Nucleon Interactions ◽  
Reaction Cross Sections

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.

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