VELOCITY-DEPENDENT NUCLEON–NUCLEON POTENTIALS AND SATURATION IN NUCLEAR MATTER

1964 ◽  
Vol 42 (4) ◽  
pp. 696-719 ◽  
Author(s):  
R. K. Bhaduri ◽  
M. A. Preston
Keyword(s):  
Wave Function ◽  
Nuclear Matter ◽  
Short Range ◽  
Potential Model ◽  
Hard Core ◽  
Nucleon Nucleon ◽  
Core Potential ◽  
Dependent Potential

Recently, nonsingular velocity-dependent potentials have been constructed which fit the the two-nucleon data, but do not give saturation in nuclear matter at reasonable densities. In this paper, we have asked what features a potential should have in order to give saturation, and we have found that the short-range wave-function distortion (defined in the text) is important. Reasons are given for the failure of the earlier potentials to saturate, and a new velocity-dependent potential is proposed which gives results similar to the standard hard-core potential model. We speculate on the usefulness of such potentials for future calculations of nuclear properties.

NUCLEAR MATTER AND THE LONG-RANGE PART OF THE NUCLEON–NUCLEON POTENTIAL

1967 ◽  
Vol 45 (3) ◽  
pp. 1289-1295 ◽  
Author(s):  
J. M. Pearson
Keyword(s):  
Nuclear Matter ◽  
Long Range ◽  
Short Range ◽  
Hard Core ◽  
Nucleon Nucleon ◽  
Intermediate Region ◽  
Precise Form ◽  
Nucleon Potential ◽  
Range Part

Elementary nuclear-matter calculations are performed with five different central nucleon–nucleon potentials. These are all static with a hard core of radius 0.4 fm and an OPEP tail, but are characterized by vastly different forms in the intermediate region. It is concluded that nuclear matter is insensitive to the precise form of the central part of the nucleon–nucleon potential everywhere beyond the short-range repulsive region, provided the nucleon–nucleon data are well fitted.

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.

Soft-core potential model for nucleon-nucleon scattering. II

1969 ◽  
Vol 139 (3) ◽  
pp. 605-624 ◽  
Author(s):  
Donald W.L. Sprung ◽  
M.K. Srivastava
Keyword(s):  
Potential Model ◽  
Nucleon Nucleon ◽  
Soft Core ◽  
Nucleon Scattering ◽  
Core Potential ◽  
Soft Core Potential

Smooth nucleon–nucleon interactions and meson theory

1968 ◽  
Vol 46 (8) ◽  
pp. 963-969 ◽  
Author(s):  
Pierre Desgrolard ◽  
J. M. Pearson ◽  
Gérard Saunier
Keyword(s):  
Nuclear Matter ◽  
Long Range ◽  
Short Range ◽  
Singlet State ◽  
Nucleon Nucleon ◽  
Second Order ◽  
Meson Theory ◽  
The One ◽  
Range Part ◽  
Short Range Correlations

Tabakin and Davies have shown that it is possible to fit the singlet-state nucleon–nucleon data with a potential that is smooth enough to give very small second-order terms in an ordinary perturbation–theoretic treatment of nuclear matter. However, their potential is unrealistic in that the requirements of meson theory are in no way satisfied in the long-range region. It is shown here that a potential whose long-range part conforms to the OBEP of Bryan and Scott can still be made to fit the phase shifts without increasing significantly the second-order terms. Thus, with meson theory being incapable of making an unequivocal statement about the short-range region, it will only be by resorting to the experimental evidence for short-range correlations in nuclei that one will be able to resolve the question as to whether or not an interaction as smooth as the one considered here can be regarded as "real" rather than merely "effective". In any event, the existence of such correlations cannot be inferred from the singlet nucleon–nucleon data.

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 Extended Folding Potential Model for  -Deuteron System with Hard Core Potential

1983 ◽  
Vol 69 (1) ◽  
pp. 171-180 ◽  
Author(s):  
K. Hasegawa ◽  
Y. Yamamoto ◽  
H. Bando
Keyword(s):  
Potential Model ◽  
Hard Core ◽  
Folding Potential ◽  
Core Potential

Sum Rule Photo-Disintegration Cross Sections for the Deuteron with Velocity-Dependent and Hard-Core Potentials

1971 ◽  
Vol 49 (17) ◽  
pp. 2211-2214 ◽  
Author(s):  
S. S. Raghavan ◽  
B. K. Srivastava
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Sum Rules ◽  
Hard Core ◽  
Dipole Approximation ◽  
Sum Rule ◽  
Core Potential ◽  
Cross Section Formula ◽  
Dependent Potential ◽  
Integrated Cross Section

We apply the sum rules of Levinger and Bethe to calculate the integrated cross section[Formula: see text]and the bremsstrahlung-weighted cross section[Formula: see text]for the deuteron in the dipole approximation. In our calculations we use (i) Nestor's velocity-dependent potential and (ii) Reid's hard-core potential. Our results for σint and σb obtained with the velocity-dependent potential of Nestor and the hard-core potential of Reid agree well with experiments.

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