Simple model potential and model wave functions for (H–alkali)+ and (alkali–alkali)+ ions

2000 ◽  
Vol 113 (2) ◽  
pp. 676-682 ◽  
Author(s):  
S. H. Patil ◽  
K. T. Tang
2004 ◽  
Vol 59 (7-8) ◽  
pp. 455-466 ◽  
Author(s):  
S. H. Patil

Some structural properties of the energy eigenfunctions of a hydrogenic system in half space, are analysed. Specifically, we have obtained the asymptotic behaviour when the electron is far away from the nucleus, the coalescence property when it is close to the nucleus, the inflection property when it is close to the potential barrier, the property when the nucleus is far away from the barrier, and a virial relation. Simple model wave functions are developed, incorporating these properties which give accurate values for the energies and some other physical quantities, and give a useful understanding of the physical structure of the system.


2006 ◽  
Vol 73 (6) ◽  
Author(s):  
P. Navrátil ◽  
C. A. Bertulani ◽  
E. Caurier

1994 ◽  
Vol 100 (3) ◽  
pp. 1988-1994 ◽  
Author(s):  
J. M. Ricart ◽  
A. Clotet ◽  
F. Illas ◽  
J. Rubio

1974 ◽  
Vol 49 (5) ◽  
pp. 443-446 ◽  
Author(s):  
L. Bimbot ◽  
I. Brissaud ◽  
Y. Le Bornec ◽  
B. Tatischeff ◽  
N. Willis ◽  
...  

1982 ◽  
Vol 60 (16) ◽  
pp. 2049-2056 ◽  
Author(s):  
Victor M. S. Gil ◽  
António J. C. Varandas

By using simple model potential energy functions for internal rotation of ethane derivatives (CH2X–CH2X and CHX2–CHX2), a comparison was made between the continuum and the rotational isomeric state models for obtaining conformation information (especially energy differences for the staggered conformers) from electric dipole moments. It is found that the results obtained by the two procedures may be appreciably different, depending on the features of the conformational energy function and on the temperature considered.


1987 ◽  
Vol 65 (6) ◽  
pp. 691-698 ◽  
Author(s):  
O. Häusser

We present here recent [Formula: see text] results from TRIUMF that are relevant to the determination of spin-flip isovector strength functions in nuclei. Distortion factors needed for the extraction of nuclear-structure information have been deduced from cross sections and analyzing powers in elastic scattering for several energies and targets. Nonrelativistic optical potentials obtained by folding effective nucleon (N)–nucleus interactions with nuclear densities are found to overpredict both elastic and reaction cross sections, whereas Dirac calculations that include Pauli blocking are in good agreement with the data. Spin observables (Snn and Ay) for the quasi-elastic region in 54Fe[Formula: see text] at 290 MeV provide some evidence for the reduction of the effective proton mass predicted in relativistic mean-field theories as a consequence of the attractive scalar field in the nuclear medium. The energy dependence of the effective N–nucleus interaction at small momentum transfers has been investigated using isoscalar and isovector 1+ states in 28Si as probe states. We find that the cross sections for the isovector transitions are in good agreement with predictions for the dominant Vστ part of the Franey–Love interaction. Gamow–Teller (GT) strength functions have been obtained in 24Mg and 54Fe from measurements of both cross sections and spin–flip probabilities Snn. The spin-flip cross sections σSnn are particularly useful in heavier nuclei to discriminate against a continuous background of ΔS = 0 excitations. In the (s, d) shell where full shell-model wave functions are available, the GT quenching factors [Formula: see text] are in good agreement with those from recent (p, n) and (n, p) experiments. We show that a state-by-state comparison of (p, p′) and (e, e′) results has the potential of identifying pionic current contributions in (e, e′). The GT quenching factors in 54Fe are smaller than in the (s, d) shell probably because of severely truncated shell-model wave functions, particularly those of the nuclear ground state.


1959 ◽  
Vol 14 (5) ◽  
pp. 1174-1176 ◽  
Author(s):  
Z. Jankovic

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