scholarly journals The calculation of Binding Energy and Incompressibility, Pressure, and Velocity of Sound of Infinite Nuclear matter Using New One Boson Interaction.

2019 ◽  
Vol 1 ◽  
pp. 288-293
Author(s):  
M T Aper ◽  
F Gbaorun ◽  
J O Fiase
Keyword(s):  
Binding Energy ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Research Work ◽  
Nucleon Nucleon ◽  
Matrix Approach ◽  
Velocity Of Sound ◽  
Model Calculations ◽  
Effective Interactions

The use of effective nucleon – nucleon (N N) interactions for the determination of nuclear matter properties such as, binding energy per nucleon, incompressibility,K of infinite nuclear matter, pressure 0 and velocity of sound of nuclear matter has been a subject of great interest to nuclear physicists for many decades. The effective interaction usually involved in these calculations has been the Michigan three Yukawa (M3Y) effective interactions whose origin is from G- matrix approach. In this research work however, we have used a newly developed interaction known as new one boson (NOB) effective interaction to carry out similar calculations. This new interaction is based on the Lowest Order Constrained Variational (LOCV) technique. The interaction reproduces the saturation energy of spin and isospin infinite nuclear matter of approximately -16MeV at the normal nuclear matter saturation density consistent with the best available density-dependent interaction derived from the G-matrix approach. The results of the incompressibility obtained using the NOB interaction ranges from 304 to 309 MeV. These values are in good agreement with the values of incompressibility obtained for similar calculations using the M3Y – Reid effective interaction, in which values for K range from 304 to 310 MeV. The results of 0 pressure and velocity of sound of infinite nuclear matter obtained in the present calculations are also in excellent agreement with results of other workers. The results of our present calculations indicate that, the NOB interaction has passed the basic test for an effective interaction. The NOB may therefore be applied to other nuclear matter and optical model calculations to ascertain its reliability.

scholarly journals PAIRING PROPERTIES OF SYMMETRIC NUCLEAR MATTER IN RELATIVISTIC MEAN FIELD THEORY

2008 ◽  
Vol 17 (08) ◽  
pp. 1441-1452 ◽  
Author(s):  
J. LI ◽  
B. Y. SUN ◽  
J. MENG
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Symmetric Nuclear Matter ◽  
Effective Interactions ◽  
Relativistic Mean Field ◽  
Effective Factor ◽  
Pairing Correlations

The properties of pairing correlations in symmetric nuclear matter are studied in the relativistic mean field (RMF) theory with the effective interaction, PK1. Considering the well-known problem that the pairing gap at the Fermi surface calculated with RMF effective interactions is three times larger than that with the Gogny force, an effective factor in the particle–particle channel is introduced. For the RMF calculation with PK1, an effective factor of 0.76 gives a maximum pairing gap of 3.2 MeV at a Fermi momentum of 0.9 fm-1, which is consistent with the result with the Gogny force.

PAIRING INTERACTION POTENTIAL WITH REALISTIC FORCE IN NEUTRON AND NUCLEAR MATTER

2006 ◽  
Vol 15 (08) ◽  
pp. 1769-1777
Author(s):  
CAIWAN SHEN
Keyword(s):  
Nuclear Matter ◽  
Interaction Potential ◽  
Effective Interaction ◽  
Nucleon Nucleon ◽  
Pairing Interaction ◽  
Nucleon Interaction ◽  
Explicit Formulas ◽  
Nucleon Nucleon Interaction ◽  
Realistic Force

Using the realistic nucleon-nucleon interaction, we studied the pairing interaction potential for 1S0 and 3S1 channel in neutron and nuclear matter. The explicit formulas are given for the calculation. It is found that the screening using realistic force is much smaller than that using effective interaction, for instance, Gogny force or G-matrix.

Sensitivity of nuclear matter binding energy to the nucleon-nucleon phase shift at high energies

1972 ◽  
Vol 38 (3) ◽  
pp. 132-134 ◽  
Author(s):  
K-F. Chong ◽  
Y. Singh ◽  
D.W.L. Sprung ◽  
M.K. Srivastava
Keyword(s):  
Binding Energy ◽  
Phase Shift ◽  
Nuclear Matter ◽  
Nucleon Nucleon ◽  
High Energies

Longitudinal electron scattering form factors for 54,56Fe

2014 ◽  
Vol 23 (10) ◽  
pp. 1450054 ◽  
Author(s):  
A. D. Salman ◽  
D. R. Kadhim
Keyword(s):  
Electron Scattering ◽  
Effective Charge ◽  
Effective Interaction ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Model Calculations ◽  
The Core ◽  
Realistic Interaction ◽  
Modified Surface ◽  
Good Agreement

In this paper, inelastic longitudinal electron scattering form factors for C2 transition have been studied in 54 Fe and 56 Fe with the aid of shell model calculations. The GX1 effective interaction for the fp-shell is used with the nucleon–nucleon realistic interaction Michigan three-range Yukawa and Modified surface delta interaction as a two-body interactions. The core polarization effects is taken into account through the first-order perturbation theory with the effective charge, which is taken to the proton and the neutron. The effective charge along with the core effects up to 6 ℏw enhanced the calculation very well and improving good agreement with the experimental data.

SPEED OF SOUND IN NUCLEAR MATTER AND SKYRME EFFECTIVE INTERACTIONS

1987 ◽  
Vol 02 (02) ◽  
pp. 71-79 ◽  
Author(s):  
R.K. SU ◽  
T.T.S. KUO
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Speed Of Sound ◽  
Finite Temperature ◽  
Function Method ◽  
Effective Interaction ◽  
Similar Calculation ◽  
Effective Interactions ◽  
Nuclear Equation Of State ◽  
Temperature Green’S Function

Using a nuclear equation of state derived from a finite-temperature Green’s function method and the Skyrme effective interactions SkI, SkIII and SkM*, we have calculated the speed of sound in symmetric nuclear matter. For certain densities and temperatures, this speed is found to become super-luminous. Causal boundaries in the density-temperature plane are determined, and they indicate that SkM* is a more desirable effective interaction than SkI and SkIII. Comparison with a similar calculation by Osnes and Strottman is made.

scholarly journals EQUATION OF STATE FOR NUCLEAR MATTER BASED ON DENSITY DEPENDENT EFFECTIVE INTERACTION

2005 ◽  
Vol 14 (05) ◽  
pp. 739-749 ◽  
Author(s):  
D. N. BASU
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Energy Density ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Velocity Of Sound ◽  
Density Dependent ◽  
Nuclear Incompressibility ◽  
Unified Description ◽  
Good Agreement

An interesting method of obtaining the equation of state for nuclear matter, from a density dependent M3Y interaction, by minimizing the energy per nucleon is described. The density dependence parameters of the interaction are obtained by reproducing the saturation energy per nucleon and the saturation density of spin and isospin symmetric cold infinite nuclear matter. The nuclear matter equation of state thus obtained is then used to calculate the pressure, energy density, nuclear incompressibility and velocity of sound in nuclear medium. The results obtained are in good agreement with experimental data and provide a unified description of radioactivity, scattering and nuclear matter.

A SKYRME PARAMETRIZATION BASED ON NUCLEAR MATTER BHF CALCULATIONS

2000 ◽  
Vol 15 (20) ◽  
pp. 1287-1299 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Nuclear Matter ◽  
Density Functional ◽  
Nucleon Nucleon ◽  
Energy Density Functional ◽  
Hartree Fock ◽  
Saturation Properties ◽  
Nucleon Nucleon Interaction ◽  
Three Body ◽  
Finite Nuclei

Using a modified energy density functional of nuclear matter derived by solving the Bethe–Goldstone equation with a realistic nucleon–nucleon interaction and by including corrections due to relativistic and three-body effects, an effective Skyrme parameter set is derived. These corrections are found to be important in order to well describe the saturation properties of nuclear matter. The obtained Skyrme parameter set, which we denoted by SKRA, is found to better account for nuclear correlations and satisfactory describes finite nuclei, when used in the Skyrme–Hartree–Fock theory. The SKRA interaction can also be considered as an important step toward removing the ambiguities in the determination of Skyrme parameters.

scholarly journals LINEAR RESPONSE IN INFINITE NUCLEAR MATTER AS A TOOL TO REVEAL FINITE SIZE INSTABILITIES

2012 ◽  
Vol 21 (05) ◽  
pp. 1250040 ◽  
Author(s):  
A. PASTORE ◽  
K. BENNACEUR ◽  
D. DAVESNE ◽  
J. MEYER
Keyword(s):  
Experimental Data ◽  
Nuclear Matter ◽  
Linear Response ◽  
Effective Interaction ◽  
Finite Size ◽  
Effective Interactions ◽  
Zero Range ◽  
Analytical Expressions ◽  
Range Force ◽  
Rotating Nuclei

Nuclear effective interactions are often modeled by simple analytical expressions such as the Skyrme zero-range force. This effective interaction depends on a limited number of parameters that are usually fitted using experimental data obtained from doubly magic nuclei. It was recently shown that many Skyrme functionals lead to the appearance of instabilities, in particular when symmetries are broken, for example unphysical polarization of odd–even or rotating nuclei. In this paper, we show how the formalism of the linear response in infinite nuclear matter can be used to predict and avoid the regions of parameters that are responsible for these unphysical instabilities.

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