Coulomb Energies of Closed-Shell Nuclei from Shell-Model Wave Functions

1960 ◽  
Vol 120 (6) ◽  
pp. 2069-2071 ◽  
Author(s):  
N. V. V. J. Swamy ◽  
V. K. Kembhavi ◽  
D. G. Galgali
2006 ◽  
Vol 73 (6) ◽  
Author(s):  
P. Navrátil ◽  
C. A. Bertulani ◽  
E. Caurier

2020 ◽  
Vol 15 ◽  
pp. 57
Author(s):  
G. S. Anagnostatos

The significant features of exchange symmetry are displayed by simple systems such as two identical, spinless fermions in a one-dimensional well with infinite walls. The conclusion is that the maxima of probability of the antisymmetrized wave function of these two fermions lie at the same positions as if a repulsive force (of unknown nature) was applied between these two fermions. This conclusion is combined with the solution of a mathematical problem dealing with the equilibrium of identical repulsive particles (of one or two kinds) on one or more spheres like neutrons and protons on nuclear shells. Such particles are at equilibrium only for specific numbers of particles and, in addition, if these particles lie on the vertices of regular polyhedra or their derivative polyhedra. Finally, this result leads to a pictorial representation of the structure of all closed shell nuclei. This representation could be used as a laboratory for determining nuclear properties and corresponding wave functions.


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

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.


1972 ◽  
Vol 42 (2) ◽  
pp. 153-156 ◽  
Author(s):  
Duane Larson ◽  
S.M. Austin ◽  
B.H. Wildenthal

1993 ◽  
Vol 48 (6) ◽  
pp. 2673-2678 ◽  
Author(s):  
H. F. Wu ◽  
C. L. Song ◽  
H. Q. Song

1966 ◽  
Vol 82 (2) ◽  
pp. 337-353 ◽  
Author(s):  
S.N. Tewari ◽  
M.K. Banerjee

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