Nuclear electromagnetic moments of the ground states of148Pm and210Bi calculated with phenomenological wave functions derived from analyses of?-decay experiments

1983 ◽  
Vol 314 (3) ◽  
pp. 365-370 ◽  
Author(s):  
O. A. Rosso ◽  
L. Szybisz
Keyword(s):  
Ground States ◽  
Wave Functions ◽  
Electromagnetic Moments

scholarly journals Masses of fully heavy tetraquarks $$QQ {\bar{Q}} {\bar{Q}}$$ in an extended relativized quark model

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Qi-Fang Lü ◽  
Dian-Yong Chen ◽  
Yu-Bing Dong
Keyword(s):  
Quark Model ◽  
Mass Spectra ◽  
Ground States ◽  
Lhcb Collaboration ◽  
Wave Functions ◽  
Recent Measurement ◽  
Heavy Quarkonium ◽  
Radial Excitation ◽  
Broad Structure ◽  
Narrow Structure

AbstractInspired by recent measurement of possible fully charmed tetraquarks in LHCb Collaboration, we investigate the mass spectra of fully heavy tetraquarks $$QQ {\bar{Q}} {\bar{Q}}$$ Q Q Q ¯ Q ¯ in an extended relativized quark model. Our estimations indicate that the broad structure around 6.4 GeV should contain one or more ground states for $$cc {\bar{c}} {\bar{c}}$$ c c c ¯ c ¯ tetraquarks, while the narrow structure near 6.9 GeV can be categorized as the first radial excitation of $$cc {\bar{c}} {\bar{c}}$$ c c c ¯ c ¯ system. Moreover, with the wave functions of the tetraquarks and mesons, the strong decays of tetraquarks into heavy quarkonium pair are qualitatively discussed, which can be further checked by the LHCb and CMS Collaborations.

Valence-bond studies of 4-electron 3-centre bonding units. I. The π-electrons of O3, NO2−, and CH2N2

1978 ◽  
Vol 56 (8) ◽  
pp. 1093-1101 ◽  
Author(s):  
Richard D. Harcourt ◽  
Walter Roso
Keyword(s):  
Electronic Structure ◽  
Ab Initio ◽  
Valence Bond ◽  
Ground States ◽  
Wave Functions ◽  
Dipolar Cycloaddition ◽  
Cycloaddition Reactions ◽  
Electronic Mechanism ◽  
Increased Valence

Some ab-initio valence-bond wave-functions are reported for the π-electrons of the ground-states of O3, NO2−, and CH2N2. Examination of these wave-functions provides further support for the hypothesis that, for the ground-states of many electron-excess molecules, important valence-bond structures are those that are compatible with the electroneutrality principle, i.e. they carry either small or zero formal charges on each of the atoms. For O3 and CH2N2, the important valence-bond structures with zero atomic formal charges are [Formula: see text]Each of these structures has a 'long-bond' between non-adjacent atoms. The significance of 'long-bond' (or spin-paired diradical) structures for the electronic mechanism of 1,3-dipolar cycloaddition reactions is discussed and 'increased-valence' descriptions of the electronic structure of each molecule are presented. Some comments on the utility of 'increased-valence' structures are provided.

The use of Gaussian (exponential quadratic) wave functions in molecular problems. II. Wave functions for the ground states of the hydrogen atom and of the hydrogen molecule

1960 ◽  
Vol 258 (1294) ◽  
pp. 421-430 ◽  
Keyword(s):  
Hydrogen Atom ◽  
Quadratic Form ◽  
Hydrogen Molecule ◽  
Ground States ◽  
Cylindrical Symmetry ◽  
Binding Energies ◽  
Wave Functions ◽  
Electronic Wave ◽  
Electronic Wave Functions ◽  
Independent Parameters

The results reported in this paper constitute a first examination of the use of Gaussian wave functions with correlation as approximations to electronic wave functions. Functions of the form Σ k = n k =1 C k exp ( – Q k ), where C k is a constant and Q k is a quadratic form corresponding to orbitals with cylindrical symmetry, variable centres and with correlation, are used for the hydrogen molecule. Binding energies of 4∙30, 4∙42, 4∙52 and 4∙58 eV are obtained with functions containing, respectively, 26, 35, 53 and 71 independent parameters. The accuracy of the results and the moderate computing times suggest that there is considerable scope for wave functions of this type. For the hydrogen atom, approximations to the 1 s -orbital in terms of Σ k = n k =1 C k exp ( – a k r 2 ) are given for n = 3, 4, 5, 6 and 8.

scholarly journals Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials

Open Physics ◽  
2014 ◽  
Vol 12 (10) ◽  
Author(s):  
Vladimír Tichý ◽  
Lubomír Skála ◽  
René Hudec
Keyword(s):  
Schrödinger Equation ◽  
Ground State ◽  
Schrodinger Equation ◽  
Ground States ◽  
Algebraic Approach ◽  
Algebraic Method ◽  
Analytic Solutions ◽  
Wave Functions ◽  
Two Dimensional ◽  
One Dimensional

AbstractThis paper presents a direct algebraic method of searching for analytic solutions of the two-dimensional time-independent Schrödinger equation that is impossible to separate into two one-dimensional ones. As examples, two-dimensional polynomial and Morse-like potentials are discussed. Analytic formulas for the ground state wave functions and the corresponding energies are presented. These results cannot be obtained by another known method.

Atomic Hyperfine Structure. II. First-Order Wave Functions for the Ground States of B,C,N,O, and F

1969 ◽  
Vol 181 (1) ◽  
pp. 137-143 ◽  
Author(s):  
Henry F. Schaefer ◽  
Richard A. Klemm ◽  
Frank E. Harris
Keyword(s):  
Hyperfine Structure ◽  
Ground States ◽  
Wave Functions ◽  
First Order

Application ofAGP wave functions to the ground states of Li2 and CH+

1983 ◽  
Vol 23 (3) ◽  
pp. 1047-1056 ◽  
Author(s):  
Nils Elander ◽  
Erland Sangfelt ◽  
Henry Kurtz ◽  
Osvaldo Goscinski
Keyword(s):  
Ground States ◽  
Wave Functions

Calculation of Molecular Constants for the 1∑+ Ground States of the NeH+ and KrH+ Ions

1980 ◽  
Vol 35 (10) ◽  
pp. 1066-1070 ◽  
Author(s):  
P. Rosmus ◽  
E.-A. Reinsch
Keyword(s):  
Dipole Moment ◽  
Potential Energy ◽  
Transition Probability ◽  
Ground States ◽  
Wave Functions ◽  
Spectroscopic Constants ◽  
Molecular Constants ◽  
Moment Functions ◽  
Electronic Wave Functions ◽  
Highly Correlated

Abstract Potential energy and dipole moment functions have been calculated for the ground states of the NeH+ (1.0 ≦ R ≦ 15 a. u.) and the KrH+ (1.6 ≦ R ≦ 20 a. u.) ion from highly correlated SCEP/VAR and SCEP/CEPA electronic wave functions. The following spectroscopic constants have been derived: Ne20H+ re = 0.996 ± 0.003 Å, ωe = 2896 ± 20cm-1 , D0(Ne + H+) = 2.10 ± 0.05 eV; Kr84H+ re = 1.419 ± 0.003 Å, ωe = 2561 ±20 cm-1 , D0(Kr + H+) = 4.65 ±0.05 eV. The Einstein transition probability coefficients of spontaneous emission have been calculated for all transitions v ≦ 5 of Ne20H+, Ne20D+, Kr84H+ and Kr84D+, respectively.

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