Classical Self-Consistent Nuclear Model

1961 ◽  
Vol 124 (1) ◽  
pp. 227-232 ◽  
Author(s):  
R. G. Seyler ◽  
C. H. Blanchard
Keyword(s):  
Nuclear Model ◽  
Self Consistent

Self-Consistent Nuclear Model

1961 ◽  
Vol 124 (3) ◽  
pp. 860-867 ◽  
Author(s):  
Balazs Rozsnyai
Keyword(s):  
Nuclear Model ◽  
Self Consistent

A Soluble Self-Consistent Nuclear Model

1973 ◽  
Vol 41 (4) ◽  
pp. 484-489 ◽  
Author(s):  
M. de Llano
Keyword(s):  
Nuclear Model ◽  
Self Consistent

scholarly journals Crystallization of the outer crust of a non-accreting neutron star

2020 ◽  
Vol 633 ◽  
pp. A149 ◽  
Author(s):  
A. F. Fantina ◽  
S. De Ridder ◽  
N. Chamel ◽  
F. Gulminelli
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Coupling Parameter ◽  
Equilibrium Composition ◽  
Nuclear Model ◽  
Self Consistent ◽  
Component Plasma ◽  
Rotational Evolution ◽  
The One ◽  
Outer Crust

Context. The interior of a neutron star is usually assumed to be made of cold catalyzed matter. However, the outer layers are unlikely to remain in full thermodynamic equilibrium during the formation of the star and its subsequent cooling, especially after crystallization occurs. Aims. We study the cooling and the equilibrium composition of the outer layers of a non-accreting neutron star down to crystallization. Here the impurity parameter, generally taken as a free parameter in cooling simulations, is calculated self-consistently using a microscopic nuclear model for which a unified equation of state has recently been determined. Methods. We follow the evolution of the nuclear distributions of the multi-component Coulomb liquid plasma fully self-consistently, adapting a general formalism originally developed for the description of supernova cores. We calculate the impurity parameter at the crystallization temperature as determined in the one-component plasma approximation. Results. Our analysis shows that the sharp changes in composition obtained in the one-component plasma approximation are smoothed out when a full nuclear distribution is allowed. The Coulomb coupling parameter at melting is found to be reasonably close to the canonical value of 175, except for specific values of the pressure for which supercooling occurs in the one-component plasma approximation. Our multi-component treatment leads to non-monotonic variations of the impurity parameter with pressure. Its values can change by several orders of magnitude reaching about 50, suggesting that the crust may be composed of an alternation of pure (highly conductive) and impure (highly resistive) layers. The results presented here complement the recent unified equation of state obtained within the same nuclear model. Conclusions. Our self-consistent approach to hot dense multi-component plasma shows that the presence of impurities in the outer crust of a neutron star is non-negligible and may have a sizeable impact on transport properties. In turn, this may have important implications not only for the cooling of neutron stars, but also for their magneto-rotational evolution.

The Brueckner theory of nuclear structure

1956 ◽  
Vol 235 (1202) ◽  
pp. 408-418 ◽  
Keyword(s):  
Finite Size ◽  
Physical Review ◽  
Exclusion Principle ◽  
Nuclear Model ◽  
Nuclear Forces ◽  
Atomic Nuclei ◽  
Physical Assumption ◽  
Self Consistent ◽  
Correction Terms ◽  
Brueckner Theory

The object of the Brueckner theory is to calculate the properties of atomic nuclei from a knowledge of the forces which act between nucleons in free space. The method involves constructing a nuclear model having the same energy as the nucleus, and it also gives a relation between the nuclear model and the actual nucleus which can be used to investigate detailed aspects of the nucleus in circumstances where the model is insufficient. Previous papers on the Brueckner theory have used a formalism applicable only to an infinite medium of nuclear matter and this has involved some inconsistencies. The present paper establishes the theory in a form which applies to a nucleus of finite size and therefore provides a basis for calculating from first principles the properties of an actual nucleus. The nuclear model on which the method is based is closely related to the nuclear shell model and is determined by a set of coupled self-consistent equations which take into account the strong short-range character of nuclear forces. These self-consistent equations have also been derived by H. A. Bethe who describes methods of solving them in a paper to be published in the Physical Review . The present paper concentrates on the derivation and meaning of the equations for the model, on their relation to a self-consistent variational procedure, on the relation between the model and the nucleus and on discussing correction terms neglected in the construction of the model. The justification of the theory depends primarily on the operation of the exclusion principle between nucleons, but it also involves a physical assumption related to the absence of clustering in the nucleus.

"Classical" Self-Consistent Nuclear Model. II

1963 ◽  
Vol 131 (1) ◽  
pp. 355-365 ◽  
Author(s):  
R. G. Seyler ◽  
C. H. Blanchard
Keyword(s):  
Nuclear Model ◽  
Self Consistent

scholarly journals Towards a self-consistent dynamical nuclear model

2017 ◽  
Vol 44 (4) ◽  
pp. 044001 ◽  
Author(s):  
X Roca-Maza ◽  
Y F Niu ◽  
G Colò ◽  
P F Bortignon
Keyword(s):  
Nuclear Model ◽  
Self Consistent

The evolution of the Kuiper belt during the formation of the outer planets

1999 ◽  
Vol 173 ◽  
pp. 37-44
Author(s):  
M.D. Melita ◽  
A. Brunini
Keyword(s):  
Kuiper Belt ◽  
Outer Planets ◽  
Self Consistent ◽  
Planetary Bodies ◽  
Mass Depletion

AbstractA self-consistent study of the formation of planetary bodies beyond the orbit of Saturn and the evolution of Kuiper disks is carried out by means of an N-body code where accretion and gravitational encounters are considered. This investigation is focused on the aggregation of massive bodies in the outer planetary region and on the consequences of such process in the corresponding cometary belt. We study the link between the bombardment of massive bodies and mass depletion and eccentricity excitation.

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