HYPERFINE INTERACTIONS IN HEAVY QUARKONIA AND DECAY WIDTHS OF ηb STATES

1989 ◽  
Vol 04 (27) ◽  
pp. 2667-2674
Author(s):  
S. GHOSH ◽  
S. MUKHERJEE
Keyword(s):  
Wave Function ◽  
Large Class ◽  
Hyperfine Interactions ◽  
Heavy Quarkonia ◽  
Exact Results ◽  
Decay Widths ◽  
Hyperfine Splittings ◽  
S States ◽  
Fermi Type

It is noted that the fine hyperfine splittings in heavy quarkonia cannot be explained satisfactory by considering the usual Breit-Fermi type of interactions. Exact results or bounds will, therefore, be very useful in this context. Using Martin’s techniques, some weak inequalities for the values of the wave function at the origin for the triplet and singlet S-states have been derived for a large class of QǬ potentials, including the recently proposed Gupta’s potential. The inequalities could be used to predict bounds for the decay widths of the ηb states.

BREIT-FERMI INTERACTIONS AND FINE-HYPERFINE SPLITTING IN HEAVY QUARKONIA

1989 ◽  
Vol 04 (13) ◽  
pp. 1277-1285 ◽  
Author(s):  
S. GHOSH ◽  
S. MUKHERJEE
Keyword(s):  
Hyperfine Splitting ◽  
Potential Model ◽  
Heavy Quarkonia ◽  
Exchange Potential ◽  
Hyperfine Splittings ◽  
Relativistic Potential ◽  
Fermi Type

The adequacy of using the Breit-Fermi type of interactions for describing the fine hyperfine splittings of heavy quarkonia has been examined critically. A potential model which just about accommodates the trend of the recent data on 1P1 states has been studied. The possibility of including the spin-dependent contributions of a pseudoscalar exchange potential is also considered. It is shown that the choice of the Breit-Fermi form for the spin-dependent interactions severely constrains the generally accepted non-relativistic potential and do not allow enough freedom to fit the recent data on 1P1 levels.

Determination of hyperon properties through the variational method considering the hyperfine interaction

2019 ◽  
Vol 28 (10) ◽  
pp. 1950087 ◽  
Author(s):  
S. M. Moosavi Nejad ◽  
A. Armat
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Ground State ◽  
Radiative Decay ◽  
Magnetic Moments ◽  
Wave Functions ◽  
Decay Widths ◽  
Free Parameters ◽  
Theoretical Results

Performing a fit procedure on the hyperon masses, we first determine the free parameters in the Cornell-like hypercentral potential between the constituent quarks of hyperons in their ground state. To this end, using the variational principle, we apply the hyperspherical Hamiltonian including the Cornell-like hypercentral potential and the perturbation potentials due to the spin–spin, spin–isospin and isospin–isospin interactions between constituent quarks. In the following, we compute the hyperon magnetic moments as well as radiative decay widths of spin-3/2 hyperons using the spin-flavor wave function of hyperons. Our analysis shows acceptable consistencies between theoretical results and available experimental data. This leads to reliable wave functions for hyperons at their ground state.

scholarly journals Energy spectra of muonic atoms in quantum electrodynamics

2019 ◽  
Vol 204 ◽  
pp. 05007 ◽  
Author(s):  
A. E. Dorokhov ◽  
A. A. Krutov ◽  
A. P. Martynenko ◽  
F. A. Martynenko ◽  
O. S. Sukhorukova
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Energy Spectrum ◽  
Hyperfine Structure ◽  
Nuclear Structure ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Energy Spectra ◽  
Hyperfine Splittings ◽  
S States

Vacuum polarization, nuclear structure and recoil, radiative corrections to the hyperfine structure of S-states in muonic ions of lithium, beryllium and boron are calculated on the basis of quasipotential method in quantum electrodynamics. We consider contributions in first and second orders of perturbation theory which have the order α5 and α6 in the energy spectrum. Total values of hyperfine splittings are obtained which can be used for a comparison with future experimental data.

LONG-RANGE POTENTIAL AND TWO GLUINO BOUND STATES

1987 ◽  
Vol 02 (03) ◽  
pp. 183-191 ◽  
Author(s):  
S. GHOSH ◽  
A.K. ROY ◽  
S. MUKHERJEE
Keyword(s):  
Wave Function ◽  
Long Range ◽  
General Class ◽  
Bound States ◽  
Potential Model ◽  
Confining Potential ◽  
Range Potential ◽  
Decay Widths

The effect of the long-range confining potential on the two gluino bound states has been studied in a particular potential model. Some useful inequalities for the value of the wave function at the origin, [Formula: see text] have been derived for a more general class of potentials. The results will be useful for estimating various decay widths.

scholarly journals Probing the shallow-donor muonium wave function in ZnO and CdS via transferred hyperfine interactions

2001 ◽  
Vol 308-310 ◽  
pp. 920-923 ◽  
Author(s):  
J.S. Lord ◽  
S.P. Cottrell ◽  
P.J.C. King ◽  
H.V. Alberto ◽  
N. Ayres de Campos ◽  
...  
Keyword(s):  
Wave Function ◽  
Hyperfine Interactions ◽  
Shallow Donor

Wave dislocation lines threading interferometers

2007 ◽  
Vol 463 (2083) ◽  
pp. 1697-1711 ◽  
Author(s):  
M.V Berry
Keyword(s):  
Wave Function ◽  
Large Class ◽  
Phase Difference ◽  
Flux Line ◽  
Phase Shifts ◽  
Closed Circuit ◽  
Threading Dislocations ◽  
Aharonov Bohm ◽  
The Waves

In interferometers where a wave is divided into two beams that propagate along separate branches before being recombined, the closed circuit formed by the two branches must be threaded by wave dislocation lines. For a large class of interferometers, it is shown that the (signed) dislocation number, defined in a suitable asymptotic sense, jumps by +1 as the phase difference between the beams increases by 2 π . The argument is based on the single-valuedness of the wave function in the branches and leaking between them. In some cases, the jumps occur when the phase difference is an odd multiple of π . The same result holds for the Aharonov–Bohm wave function, where the waves passing above and below a flux line experience different phase shifts; in this case, where the wave is not concentrated onto branches, the threading dislocations coincide with the flux line.

ORBITALLY EXCITED STATES OF QUARKONIA IN A NONRELATIVISTIC MODEL

2012 ◽  
Vol 27 (03n04) ◽  
pp. 1250011 ◽  
Author(s):  
BHAGHYESH ◽  
K. B. VIJAYA KUMAR ◽  
YONG-LIANG MA
Keyword(s):  
Wave Function ◽  
Excited States ◽  
Mass Spectra ◽  
Radiative Decay ◽  
Theoretical Models ◽  
Model Parameters ◽  
Linear Potential ◽  
S Wave ◽  
Oscillator Wave Function ◽  
Decay Widths

Having succeeded in predicting the S wave spectra and decays of [Formula: see text] and [Formula: see text] mesons, Bhaghyesh, K. B. Vijaya Kumar and A. P. Monteiro, J. Phys. G: Nucl. Part. Phys.38, 085001 (2011), in this article, we apply our nonrelativistic quark model to calculate the spectra and decays of the orbitally excited states (P- and D-waves) of heavy quarkonia. The full [Formula: see text] potential used in our model consists of a Hulthen potential and a confining linear potential. The spin hyperfine, spin-orbit and tensor interactions are introduced to obtain the masses of the P- and D-wave states. The three-dimensional harmonic oscillator wave function is employed as a trial wave function to obtain the mass spectra. The model parameters and the wave function that reproduce the mass spectra of [Formula: see text] and [Formula: see text] mesons are used to investigate their decay properties. The two-photon decay widths, two-gluon decay widths and E1 radiative decay widths are calculated. The obtained values are compared with the experimental results and those obtained from other theoretical models.

Correlated Atomic Pair Functions by the e-ϱ-Method. I. Ground State 11S and Lowest Excited States n1S (n > 1) and n3S of Helium

1999 ◽  
Vol 54 (12) ◽  
pp. 711-717
Author(s):  
F. F. Seelig ◽  
G. A. Becker
Keyword(s):  
Integral Equation ◽  
Wave Function ◽  
Helium Atom ◽  
Excited States ◽  
Ground State ◽  
Single Parent ◽  
Hartree Fock ◽  
Atomic Pair ◽  
Electronic Wave Function ◽  
S States

Abstract Some low n1S and n3S states of the helium atom are computed with the aid of the e-e method which formulates the electronic wave function of the 2 electrons ψ = e-e F, where ϱ=Z(r1+r2)–½r12 and here Z = 2. Both the differential and the integral equation for F contain a pseudopotential Ṽ instead of the true potential V that contrary to V is finite. For the ground state, F = 1 yields nearly the Hartree-Fock SCF accuracy, whereas a multinomial expansion in r1, r2 , r2 yields a relative error of about 10-7 . All integrals can be computed analytically and are derived from one single “parent” integral.

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