NOTE ON THE SINGLE-PARTICLE ENERGY AND THE BINDING ENERGY OF MANY-BODY, SATURATED SYSTEMS

1958 ◽  
Vol 36 (10) ◽  
pp. 1261-1264
Author(s):  
George A. Baker Jr.
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Particle Energy ◽  
The Self ◽  
Exclusion Principle ◽  
Single Particle Energy ◽  
Many Body ◽  
Self Consistent ◽  
Particle Potential ◽  
Single Particle Potential

Brueckner has recently pointed out that, for saturation, (Eav−E(pF)) does not vanish in general because of "important many-body contributions to the single particle energy which arise from the effects of the exclusion principle and from the variation of the self-consistent excitation spectrum with density." It is the purpose of this note to evaluate this difference in terms of the properties of the single-particle potential.

Spin symmetry energy and spin dependence of the single particle potential in nuclear matter

1984 ◽  
Vol 62 (4) ◽  
pp. 400-413 ◽  
Author(s):  
Janusz Dabrowski
Keyword(s):  
Nuclear Matter ◽  
Single Particle ◽  
Particle Interaction ◽  
Spin Symmetry ◽  
Particle Energy ◽  
Nuclear Forces ◽  
Fermi Surfaces ◽  
Particle Potential ◽  
Single Particle Potential ◽  
Spin Quantization

In the presence of tensor nuclear forces, the single particle energy in spin and spin–isospin polarized nuclear matter is diagonal in nucleon spin states with the spin quantization axis tilting away from the direction in which nuclear matter is polarized. This tilting of nucleon spins is taken into account in determining the shape of Fermi surfaces in spin and spin–isospin polarized nuclear matter, and in relating the spin and spin–isospin dependent components of the single particle potential, and the spin and spin–isospin symmetry energies of nuclear matter to the Landau parameters of the quasi-particle interaction. Numerical results are obtained partly with empirical values of the Landau parameters, and partly with values calculated with the Sprung effective two-body interaction in nuclear matter.

scholarly journals Study of energy quantities for a hyperon in hypernuclei using a single particle potential

2020 ◽  
Vol 1 ◽  
pp. 77
Author(s):  
G. A. Lalazissis ◽  
M. E. Grypeos ◽  
S. E. Massen
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Ground State ◽  
Binding Energies ◽  
Potential Models ◽  
Particle Potential ◽  
Single Particle Potential ◽  
Semi Empirical

A single particle hyperon-nucleus potential is adopted for the study of various energy quantities of a hyperon (Y) in hypernuclei.Approximate semi-empirical formulae for the ground state (g.s.) binding energy and for the oscillator spacing hωΛ of a Λ in hypernuclei are proposed. The region of their validity is discussed.The g.s. binding energies of the Ξ- hyperon in the few known Ξ- hypernuclei are also analyzed and a comparison of the volume integrals of the Ξ- nucleon and Λ nucleon potentials |V_{ΞN}I and |V_{ΛΝ)| is made. The value of the ratio γ=V_{ΞΝ}/|V_{ΛN}| is found to be ~0.8. Such a conclusion is also obtained by using in the same way other potential models such as the Woods-Saxon one.

scholarly journals Effects of isovector scalar δ–meson on Λ–hypernuclei

2015 ◽  
Vol 24 (03) ◽  
pp. 1550019
Author(s):  
M. Ikram ◽  
S. K. Singh ◽  
S. K. Biswal ◽  
S. K. Patra
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Energy Levels ◽  
Mean Field Theory ◽  
Mean Field ◽  
Particle Energy ◽  
Spin Orbit ◽  
Single Particle Energy ◽  
Relativistic Mean Field ◽  
Meson Coupling

We analyze the effects of δ–meson on hypernuclei within the framework of relativistic mean field theory. The δ–meson is included into the Lagrangian for hypernuclei. The extra nucleon–meson coupling (gδ) affects every piece of physical observables, like binding energy, radii and single-particle energies of hypernuclei. Magnitude of effects in hypernuclei is found to be relatively less than their normal nuclei because of the presence of Λ hyperon. Flipping of single-particle energy levels are observed with the strength of gδ in the considered hypernuclei as well as normal nuclei. The spin-orbit potentials are observed for considered hypernuclei and the effect of gδ on spin-orbit potentials is also analyzed. The calculated Λ binding energy (BΛ) are quite agreeable with experimental data. The sensitivity of BΛ for s- and p- orbitals with the strength of gδ is also analyzed. Lambda mean potential is investigated which is found to be consistent with other predictions.

scholarly journals High-Energy Ejection of Molecules and Gas-Dust Outbursts in Coal Mines

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1638
Author(s):  
Sergii D. Kaim
Keyword(s):  
Thermal Energy ◽  
Single Particle ◽  
Liquid Surface ◽  
Coal Mines ◽  
High Energy ◽  
Distribution Functions ◽  
The Self ◽  
Thermodynamic Conditions ◽  
Particle Potential ◽  
Single Particle Potential

In the current work, using the framework of the formalism found in the Bogolyubov–Born–Green–Kirkwood–Yvon (BBGKY) equations for the distribution functions of particle groups, the effective single-particle potential near the surface of the liquid was analyzed. The thermodynamic conditions under which a sudden opening of the liquid surface leads to high-energy ejection of atoms and molecules were found. The energies of the emitted particles were observed to be able to significantly exceed their thermal energy. Criteria of the ejection stability of the liquid surface and the self-acceleration of ejection were formulated. The developed theory was used to explain the phenomenon of the self-acceleration of gas-dust outbursts in coal mines during the explosive opening of methane traps. The results also explained the mechanisms of generating significant amounts of methane and the formation of coal nanoparticles in gas-dust outbursts. The developed approach was also used to explain the phenomenon of the self-ignition of hydrogen when it enters the atmosphere.

The Deformation Structure of the Nuclei 32S and 36Ar

2017 ◽  
Vol 13 (2) ◽  
pp. 4678-4688
Author(s):  
K. A. Kharroube
Keyword(s):  
Single Particle ◽  
Electric Quadrupole ◽  
Quadrupole Moments ◽  
Moments Of Inertia ◽  
Deformation Structures ◽  
Particle Potential ◽  
Nilsson Model ◽  
Single Particle Potential ◽  
Axes Of Symmetry ◽  
Good Agreement

We applied two different approaches to investigate the deformation structures of the two nuclei S32 and Ar36 . In the first approach, we considered these nuclei as being deformed and have axes of symmetry. Accordingly, we calculated their moments of inertia by using the concept of the single-particle Schrödinger fluid as functions of the deformation parameter β. In this case we calculated also the electric quadrupole moments of the two nuclei by applying Nilsson model as functions of β. In the second approach, we used a strongly deformed nonaxial single-particle potential, depending on Î² and the nonaxiality parameter γ , to obtain the single-particle energies and wave functions. Accordingly, we calculated the quadrupole moments of S32 and Ar36 by filling the single-particle states corresponding to the ground- and the first excited states of these nuclei. The moments of inertia of S32 and Ar36 are then calculated by applying the nuclear superfluidity model. The obtained results are in good agreement with the corresponding experimental data.

On the single-particle-energy spectrum of a Λ particle in nuclear matter

1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh
Keyword(s):  
Energy Spectrum ◽  
Nuclear Matter ◽  
Single Particle ◽  
Short Range ◽  
Particle Energy ◽  
Pair Approximation ◽  
Single Particle Energy ◽  
Short Range Repulsion ◽  
Separable Potentials ◽  
Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

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