NON-ADIABATIC COUPLED REARRANGEMENT CHANNEL CALCULATION OF ENERGY FOR MUONIC MOLECULE ttμ IN THE HYPER-SPHERICAL APPROACH

2006 ◽  
Vol 15 (01) ◽  
pp. 247-254
Author(s):  
M. MAHDAVI
Keyword(s):  
Binding Energy ◽  
Ground State ◽  
Bound States ◽  
Adiabatic Approximation ◽  
Spherical Surface ◽  
Molecular Ions ◽  
Adiabatic Expansion ◽  
Muonic Molecule ◽  
Channel Calculation ◽  
Three Body

The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research, we have used the method of hyper-spherical "surface" functions for the muonic molecule, tritium-tritium-muon. Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in the extreme adiabatic approximation. The results obtained are close to the calculation of other researchers.

CALCULATION OF BINDING ENERGY FOR THE CHARGE-NONSYMMETRIC MUONIC MOLECULES IN THE HYPER-SPHERICAL APPROACH

2005 ◽  
Vol 20 (02) ◽  
pp. 145-153 ◽  
Author(s):  
M. R. ESKANDARI ◽  
M. MAHDAVI
Keyword(s):  
Binding Energy ◽  
Ground State ◽  
Bound States ◽  
Adiabatic Approximation ◽  
Spherical Surface ◽  
Molecular Ions ◽  
Adiabatic Expansion ◽  
Three Body

The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research we have used the method of hyper-spherical "surface" functions for charge-nonsymmetric muonic molecules (isotopes of helium-deuterium-muon). Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in extreme adiabatic approximation. The obtained results are close to other's calculation.

scholarly journals Electromagnetic transition form factors of baryons in a relativistic Faddeev approach

2018 ◽  
Vol 181 ◽  
pp. 01013 ◽  
Author(s):  
Reinhard Alkofer ◽  
Christian S. Fischer ◽  
Hèlios Sanchis-Alepuz
Keyword(s):  
Ground State ◽  
Bound States ◽  
Body Wave ◽  
Form Factors ◽  
Wave Functions ◽  
Electromagnetic Form Factors ◽  
Transition Form ◽  
Electromagnetic Transition ◽  
Three Body ◽  
Gluon Interaction

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons’ three-body-wave-functions, the quark propagators and the dressed quark-photon vertex, are calculated from a well-established approximation for the quark-gluon interaction. Selected previous results of this approach for the spectrum and elastic electromagnetic form factors of ground-state baryons and resonances are reported. The main focus of this talk is a presentation and discussion of results from a recent investigation of the electromagnetic transition form factors between ground-state octet and decuplet baryons as well as the octet-only Σ0 to Λ transition.

THE HYLLERAAS BINDING ENERGY OF HYDRIDE AND ELECTRON AFFINITIES

2013 ◽  
Vol 12 (04) ◽  
pp. 1350016 ◽  
Author(s):  
EDWARD S. CHEN ◽  
EDWARD C. M. CHEN
Keyword(s):  
Binding Energy ◽  
Electron Affinity ◽  
Ground State ◽  
Photoelectron Spectra ◽  
Negative Ion ◽  
Electron Affinities ◽  
Thermal Electron ◽  
Homonuclear Diatomic Molecules ◽  
Correlation Rules ◽  
Three Body

The normalized electron affinity of the hydrogen atom, is the fundamental measure of anionic electron correlation. The three-body H (−) and AB(−) systems analogous to Efimov three-body bosons support multiple excited states. The first complete set of ground state electron affinities of the main group atoms and homonuclear diatomic molecules are reported using the Hylleraas variational binding energy of the hydride anion. Thermal electron affinities and activation energies for the formation of the 27 bonding states of O 2(−) are reported from electron capture detector and atmospheric pressure negative ion mass spectrometry. These are iterated through magnetron, flame, swarm, electron impact, photodetachment, and negative ion photoelectron spectra to obtain more precise self-consistent values. Electron affinities for NO are similarly reported. These data are used to calculate Herschbach ionic Morse Person electron curves for the 54 O 2(−) and 87 NO (−) states predicted by adiabatic correlation rules. A new ground state adiabatic electron affinity of SF6 3.00(10) eV is determined from negative ion mass spectra.

scholarly journals Interaction of Be4+ and Ground State Hydrogen Atom—Classical Treatment of the Collision

Atoms ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 27
Author(s):  
I. Ziaeian ◽  
K. Tőkési
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Hydrogen Atom ◽  
Cross Sections ◽  
Ground State ◽  
Bound States ◽  
Classical Trajectory ◽  
Projectile Energy ◽  
Three Body ◽  
Classical Trajectory Monte Carlo

The interaction between Be4+ and hydrogen atom is studied using the three-body classical trajectory Monte Carlo method (CTMC) and the quasiclassical trajectory Monte Carlo method of Kirschbaum and Wilets (QTMC-KW). We present total cross sections for target ionization, target excitation, and charge exchange to the projectile bound states. Calculations are carried out in the projectile energy range between 10 and 1000 keV/au, relevant to the interest of fusion research when the target hydrogen atom is in the ground state. Our results are compared with previous theoretical results. We found that the classical treatment describes reasonably well the cross sections for various final channels. Moreover, we show that the calculations by the QTMC-KW model significantly improve the obtained cross sections.

NUCLEAR FUSION RATE STUDY OF A MUONIC MOLECULE VIA NUCLEAR THRESHOLD RESONANCES

2005 ◽  
Vol 14 (08) ◽  
pp. 1213-1221 ◽  
Author(s):  
F. FAGHIHI ◽  
M. R. ESKANDARI
Keyword(s):  
Ground State ◽  
Adiabatic Approximation ◽  
Nuclear Charge ◽  
Fusion Rate ◽  
Wave Functions ◽  
Muonic Molecule ◽  
Overlap Integral ◽  
Atomic Distance ◽  
Rate Study ◽  
Threshold Resonances

This work follows our previous calculations of the ground state binding energy, size, and the effective nuclear charge of the muonic T3 molecule, using the Born–Oppenheimer adiabatic approximation. In our past articles, we showed that the system possesses two minimum positions, the first one at the muonic distance and the second at the atomic distance. Also, the symmetric planner vibrational model assumed between the two minima and the approximated potential were calculated. Following from the previous studies, we now calculate the fusion rate of the T3 muonic molecule according to the overlap integral of the resonance nuclear compound nucleus and the molecular wave functions.

STUDY OF CHARGE-ASYMMETRIC 3Heμd MOLECULE IN HYPER-SPHERICAL ELLIPTIC COORDINATE SYSTEM

2010 ◽  
Vol 25 (05) ◽  
pp. 389-398
Author(s):  
M. R. PAHLAVANI ◽  
M. SADEGHI ◽  
S. M. MOTEVALLI ◽  
Y. AQABAEI
Keyword(s):  
Binding Energy ◽  
Coordinate System ◽  
Separation Of Variables ◽  
Muon Catalyzed Fusion ◽  
Adiabatic Expansion ◽  
Body System ◽  
Theoretical Methods ◽  
Expected Values ◽  
Three Body ◽  
Elliptic Coordinate

Study of Coulombian three-body system is a basic phenomenon in muon catalyzed fusion (μCF). In this investigation, separation of variables in the base of adiabatic expansion, have been applied to the mesic three-body molecule, 3 He μd using hyper-spherical elliptic coordinate system. The corresponding eigenvalue problem has been solved and the adiabatic potential and the binding energy of this system are calculated. The obtained results agreed with the expected values of various theoretical methods.

scholarly journals A Note on a Soluble Three?Body Problem

1965 ◽  
Vol 18 (2) ◽  
pp. 101 ◽  
Author(s):  
LM Delves
Keyword(s):  
Energy Spectrum ◽  
Helium Atom ◽  
Ground State ◽  
Bound States ◽  
Body Problem ◽  
Three Body Problem ◽  
Three Body

A class of soluble three-body systems suggested by Pluvinage is studied. The Hamiltonian Ho of these systems is not Hermitian, and the energy spectrum contains a continuum of bound states. The use of H 0 as a reference Hamiltonian in calculations of the helium atom ground state, as suggested by Pluvinage and Walsh, is discussed in the light of these results.

THE ANGULAR MOMENTUM DEPENDENT CALCULATION OF THE GROUND STATE ENERGY OF LIQUID 3He

2005 ◽  
Vol 19 (30) ◽  
pp. 1793-1802 ◽  
Author(s):  
M. MODARRES
Keyword(s):  
Angular Momentum ◽  
Ground State Energy ◽  
Ground State ◽  
Correlation Functions ◽  
State Energy ◽  
Interatomic Potentials ◽  
Channel Correlation ◽  
P Waves ◽  
Effective Interactions ◽  
Three Body

We investigate the possible angular momentum, l, dependence of the ground state energy of normal liquid 3 He . The method of lowest order constrained variational (LOCV) which includes the three-body cluster energy and normalization constraint (LOCVE) is used with angular momentum dependent two-body correlation functions. A functional minimization is performed with respect to each l-channel correlation function. It is shown that this dependence increases the binding energy of liquid 3 He by 8% with respect to calculations without angular momentum dependent correlation functions. The l=0 state has completely different behavior with respect to other l-channels. It is also found that the main contribution from potential energy comes from the l=1 state (p-waves) and the effect of l≥11 is less than about 0.1%. The effective interactions and two-body correlations in different channels are being discussed. Finally we conclude that this l-dependence can be verified experimentally by looking into the magnetization properties of liquid helium 3 and interatomic potentials.

Accurate ground state wavefunctions for several three-body systems

2009 ◽  
Vol 193 (1-3) ◽  
pp. 147-151 ◽  
Author(s):  
K. V. Rodriguez ◽  
Y. V. Gonzalez ◽  
G. Gasaneo ◽  
L. U. Ancarani ◽  
D. M. Mitnik
Keyword(s):  
Ground State ◽  
Three Body ◽  
State Wavefunctions
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