scholarly journals INFORMATION ON THE SIZE AND OTHER QUANTITIES OF Λ-ORBITALS IN HYPERNUCLEI FROM EXPERIMENTAL Λ-ENERGIES

2019 ◽  
Vol 11 ◽  
Author(s):  
M. E. Grypeos ◽  
C. G. Koutroulos ◽  
Th. A. Petridou
Keyword(s):  
Kinetic Energy ◽  
Wide Class ◽  
Ground State ◽  
Lower Energy ◽  
Energy Levels ◽  
Mean Square ◽  
Direct Information ◽  
Central Potential ◽  
Energy Eigenvalues

An approach is proposed on the basis of which the experimentally known two lower energy eigenvalues of a Λ- particle assumed to be bound in a hypernucleus by a central potential (from a fairly wide class of them) are able to provide in certain cases rather direct information on estimates of other useful quantities, such as the r.m.s. radii of the Λ Orbitals, kinetic energies, etc. In addition two basic inequalities relating the ground-state mean square radius of the orbit of a particle in a central potential and its kinetic energy, respectively, to the spacing of the two lowest energy levels ΔΕ are investigated and further discussed in connection with the Λ-hypernuclei.

INFORMATION ON THE SIZE AND OTHER QUANTITIES OF Λ-ORBITALS IN HYPERNUCLEI FROM EXPERIMENTAL Λ-ENERGIES

2001 ◽  
Vol 10 (04n05) ◽  
pp. 393-404 ◽  
Author(s):  
M. E. GRYPEOS ◽  
C. G. KOUTROULOS ◽  
TH. A. PETRIDOU
Keyword(s):  
Wide Class ◽  
Lower Energy ◽  
Direct Information ◽  
Central Potential ◽  
Energy Eigenvalues

An approach is proposed on the basis of which the experimentally known two lower energy eigenvalues of a Λ-particle, assumed to be bound in a hypernucleus by a central potential (from a fairly wide class of them), are able to provide in certain cases rather direct information on estimates of other useful quantities, such as the r.m.s. radii of the Λ orbitals, kinetic energies, etc.

VUV FRAGMENTATION OF SOME HYDROFLUOROCARBON CATIONS STUDIED USING COINCIDENCE TECHNIQUES

2002 ◽  
Vol 09 (01) ◽  
pp. 153-158 ◽  
Author(s):  
WEIDONG ZHOU ◽  
D. P. SECCOMBE ◽  
R. Y. L. CHIM ◽  
R. P. TUCKETT
Keyword(s):  
Kinetic Energy ◽  
Ab Initio ◽  
Ground State ◽  
Lower Energy ◽  
Lone Pair ◽  
Electronic States ◽  
Photoelectron Spectra ◽  
Highest Occupied Molecular Orbital ◽  
Impulsive Model ◽  
Lone Pair Electrons

Threshold photoelectron–photoion coincidence (TPEPICO) spectroscopy has been used to investigate the decay dynamics of the valence electronic states of the parent cation of several hydrofluorocarbons (HFC), based on fluorine-substituted ethane, in the energy range 11–25 eV. We present data for CF 3– CHF 2, CF 3– CH 2 F , CF 3– CH 3 and CHF 2– CH 3. The threshold photoelectron spectra (TPES) of these molecules show a common feature of a broad, relatively weak ground state, associated with electron removal from the highest-occupied molecular orbital (HOMO) having mainly C–C σ-bonding character. Adiabatic and vertical ionisation energies for the HOMO of the four HFCs are presented, together with corresponding values from ab initio calculations. For those lower-energy molecular orbitals associated with non-bonding fluorine 2pπ lone pair electrons, these electronic states of the HFC cation decay impulsively by C–F bond fission with considerable release of translational kinetic energy. Appearance energies are presented for formation of the daughter cation formed by such a process (e.g. CF 3– CHF +), together with ab initio energies of the corresponding dissociation channel (e.g. CF 3– CHF + + F ). Values for the translational kinetic energy released are compared with the predictions of a pure-impulsive model.

scholarly journals Analytical and numerical analysis of the complete Lipkin–Meshkov–Glick Hamiltonian

2018 ◽  
Vol 27 (05) ◽  
pp. 1850039 ◽  
Author(s):  
Giampaolo Co’ ◽  
Stefano De Leo
Keyword(s):  
Lower Energy ◽  
Energy Gap ◽  
Energy Levels ◽  
Body System ◽  
Many Body ◽  
Energy Eigenvalues ◽  
Lower Energy Level ◽  
First Excited State ◽  
Text Interaction ◽  
The Many

The Lipkin–Meshkov–Glick is a simple, but not trivial, model of a quantum many-body system which allows us to solve the many-body Schrödinger equation without making any approximation. The model, which in its unperturbed case is composed only by two energy levels, includes two interacting terms. A first one, the [Formula: see text] interaction, which promotes or degrades pairs of particles, and a second one, the [Formula: see text] interaction, which scatters one particle in the upper and another in the lower energy level. In comparing this model with other approximation methods, the [Formula: see text] term interaction is often set to zero. In this paper, we show how the presence of this interaction changes the global structure of the system, generates degeneracies between the various eigenstates and modifies the energy eigenvalues structure. We present analytical solutions for systems of two and three particles and, for some specific cases, also for four, six and eight particles. The solutions for systems with more than eight particles are only numerical but their behavior can be well understood by considering the extrapolations of the analytical results. Of particular interest is the study of how the [Formula: see text] interaction affects the energy gap between the ground state and the first-excited state.

scholarly journals A MECHANISM FOR ELECTRON PAIR FORMATION

2011 ◽  
Vol 25 (14) ◽  
pp. 1167-1177
Author(s):  
TOBIAS VERHULST ◽  
JAN NAUDTS
Keyword(s):  
Binding Energy ◽  
Kinetic Energy ◽  
Ground State ◽  
Lattice Model ◽  
Electron Pair ◽  
Spin Current ◽  
Pair Formation ◽  
Eigenvalues And Eigenvectors ◽  
Energy Eigenvalues ◽  
Interacting Electrons

We consider a lattice model in which phonons scatter with pairs of electrons carrying a net spin current. All the energy eigenvalues and eigenvectors of this model can be obtained analytically. For a suitable choice of parameters the ground state consists of a Fermi sea of non-interacting electrons, with a layer of paired electrons on top of it. The binding energy of one electron pair is partly canceled by increased kinetic energy of another pair of electrons. This results in a momentum-dependent gap in the spectrum of the electrons.

A RENORMALIZED HVT APPROACH AND ENERGIES OF A Λ-PARTICLE IN HYPERNUCLEI

2011 ◽  
Vol 20 (06) ◽  
pp. 1391-1407
Author(s):  
C. A. EFTHIMIOU ◽  
M. E. GRYPEOS ◽  
C. G. KOUTROULOS ◽  
K. J. OYEWUMI ◽  
TH. PETRIDOU
Keyword(s):  
Power Series ◽  
Wide Class ◽  
Quantum Mechanical ◽  
Series Expansions ◽  
Potential Well ◽  
Potential Wells ◽  
Central Potential ◽  
Energy Eigenvalues ◽  
Power Series Expansions

An investigation is carried out to consider a renormalized quantum mechanical HVT approach in the context of s-power series expansions for the Schrödinger energy eigenvalues of a particle moving in a central potential well belonging to a fairly wide class of potential wells. This approach is designed and applied in detail to estimate energies of a Λ in hypernuclei. The determination of the renormalization parameter is also discussed.

scholarly journals Fast Vacuum Fluctuations and the Emergence of Quantum Mechanics

2021 ◽  
Vol 51 (3) ◽  
Author(s):  
Gerard ’t Hooft
Keyword(s):  
Quantum Mechanics ◽  
Ground State ◽  
Quantum Interference ◽  
Direct Detection ◽  
Energy Levels ◽  
Vacuum Fluctuations ◽  
Heavy Particles ◽  
Evolving Systems ◽  
Gedanken Experiment ◽  
Classical Computer

AbstractFast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically (ontologically) evolving systems one can still define a conserved quantum energy. For the fast variables, the energy levels are far separated, such that one may assume these variables to stay in their ground state. This forces them to be entangled, so that, consequently, the slow variables are entangled as well. The fast variables could be the vacuum fluctuations caused by unknown super heavy particles. The emerging quantum effects in the light particles are expressed by a Hamiltonian that can have almost any form. The entire system is ontological, and yet allows one to generate interference effects in computer models. This seemed to lead to an inexplicable paradox, which is now resolved: exactly what happens in our models if we run a quantum interference experiment in a classical computer is explained. The restriction that very fast variables stay predominantly in their ground state appears to be due to smearing of the physical states in the time direction, preventing their direct detection. Discussions are added of the emergence of quantum mechanics, and the ontology of an EPR/Bell Gedanken experiment.

scholarly journals Connecting the ground state mean square radius to the dipole excitation

2006 ◽  
Vol 75 (1) ◽  
pp. 82-86
Author(s):  
R Mezhoud ◽  
F-Z Ighezou ◽  
R J Lombard
Keyword(s):  
Ground State ◽  
Mean Square ◽  
Dipole Excitation

scholarly journals FOUR-PARTICLE ANYON EXCITON: BOSON APPROXIMATION

1995 ◽  
Vol 09 (02) ◽  
pp. 123-133 ◽  
Author(s):  
M. E. Portnoi ◽  
E. I. Rashba
Keyword(s):  
Angular Momentum ◽  
Electron Density ◽  
Ground State ◽  
Hypergeometric Functions ◽  
Energy Levels ◽  
Confluent Hypergeometric Functions ◽  
Full Symmetry ◽  
Hole Confinement ◽  
Boson Approximation

A theory of anyon excitons consisting of a valence hole and three quasielectrons with electric charges –e/3 is presented. A full symmetry classification of the k = 0 states is given, where k is the exciton momentum. The energy levels of these states are expressed by quadratures of confluent hypergeometric functions. It is shown that the angular momentum L of the exciton ground state depends on the distance between the electron and hole confinement planes and takes the values L = 3n, where n is an integer. With increasing k the electron density shows a spectacular splitting on bundles. At first a single anyon splits off of the two-anyon core, and finally all anyons become separated.

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