Isovector excitation of stretched states in nuclei: effects of meson exchange currents, unbound wave functions, and knockout exchange amplitudes on the extraction of particle–hole strengths

1987 ◽  
Vol 65 (6) ◽  
pp. 666-676 ◽  
Author(s):  
R. A. Lindgren ◽  
M. Leuschner ◽  
B. L. Clausen ◽  
R. J. Peterson ◽  
M. A. Plum ◽  
...  

It is well known that the strength for excitations of [Formula: see text] high spin, stretched states observed via inelastic scattering, is generally much smaller than that predicted by spherical shell-model calculations. In addition, results obtained from electromagnetic and hadronic studies have discrepancies at the 20% level. For us to gain a better understanding of reduced magnetic strength in electron scattering and hopefully close the gap between experiment and theory, calculations of the electron-scattering form factors have been performed including the effects due to meson exchange currents in the transition amplitude and the effects due to unbound wave functions for the valence nucleon. The effect of the meson exchange-current contributions is to uniformly enhance the form factors near the first maximum, resulting in a 16 to 20% further reduction of the stretched particle–hole strength. The effect due to the radial wave functions deduced from Woods–Saxon potentials in which the nucleon is not bound is to reduce the form factors, thereby resulting in an increase in the spectroscopic strength. As regards the comparison of results obtained with electromagnetic and hadronic probes, the implied sensitivity to higher order current and spin–current transition densities associated with the nonlocality due to the tensor knockout exchange amplitudes in nucleon–nucleus scattering is considered explicitly. It is found that the simplest correspondence between electron and nucleon–nucleus scattering is preserved for isovector excitations but not for isoscalar excitations under the usual assumptions for the tensor interaction. It is clear that precise comparisons between experiment and theory (or between probes) cannot be made unless these and related effects are consistently included.

2020 ◽  
Vol 29 (07) ◽  
pp. 2050048
Author(s):  
Ibtihaj Abdul Hassan Ajeel ◽  
Mohammed J. R. Aldhuhaibat ◽  
Khalid S. Jassim

Coulomb [Formula: see text] and C4 form factors to the 5/2[Formula: see text], 7/2[Formula: see text], 9/2[Formula: see text], 9/2[Formula: see text] and 11/2[Formula: see text] states in [Formula: see text]Mg nuclei have been studied using shell model calculations. The universal sd-shell interaction A (USDA) is used for sd-shell orbits. Two models have been used to calculate core-polarization (CP) effects. These models are Coulomb Valance Tassie model (CVTM) and Bohr–Mottelson (BM) collective model. The wave functions of radial single particle matrix elements have been calculated with Skyrme interaction potential (SKX). Electron scattering factors results showed good agreement using the BM collective model comparing with the experimental data.


1982 ◽  
Vol 25 (5) ◽  
pp. 2318-2352 ◽  
Author(s):  
S. K. Platchkov ◽  
J. B. Bellicard ◽  
J. M. Cavedon ◽  
B. Frois ◽  
D. Goutte ◽  
...  

2019 ◽  
pp. 1286-1296
Author(s):  
Rafah I. Noori ◽  
Arkan R. Ridha

In this work, the nuclear density distributions, size radii and elastic electron scattering form factors are calculated for proton-rich 8B, 17F, 17Ne, 23Al and 27P nuclei using the radial wave functions of Woods-Saxon potential. The parameters of such potential for nuclei under study are generated so as to reproduce the experimentally available size radii and binding energies of the last nucleons on the Fermi surface.


1996 ◽  
Vol 05 (04) ◽  
pp. 717-724 ◽  
Author(s):  
D.N. KADREV ◽  
A.N. ANTONOV ◽  
M.V. STOITSOV ◽  
S.S. DIMITROVA

Natural orbitals obtained within the coherent density fluctuation model and containing nucleon correlation effects are used to calculate characteristics of the A-nucleon system, such as the electron elastic magnetic scattering form factors. The calculations are performed for nuclei with a doubly-closed core and a valence nucleon in a stretched configuration (j=l+1/2), such as the 17 O and 41 Ca nuclei. It is shown that the calculations of the transverse form factor using natural orbitals improve the agreement with the experimental data in comparison with the case when shell-model single-particle wave functions are used.


2017 ◽  
Vol 26 (05) ◽  
pp. 1750032 ◽  
Author(s):  
Anwer A. Al-Sammarraie ◽  
M. L. Inche Ibrahim ◽  
Muna Ahmed Saeed ◽  
Fadhil I. Sharrad ◽  
Hasan Abu Kassim

The electric and magnetic transitions in the [Formula: see text]Mg nucleus are studied based on the calculations of the longitudinal and the transverse electron scattering form factors. The universal sd-shell model Hamiltonian (USDA) is used for calculations. The wave functions of radial single-particle matrix elements are calculated using the Skyrme potential. For the longitudinal form factors, a good agreement is obtained between the calculations and the experimental data. For the transverse form factors, the effective [Formula: see text] factors are made as adjustable parameters in order to describe the experimental data.


1978 ◽  
Vol 76 (4) ◽  
pp. 393-396 ◽  
Author(s):  
T.W. Donnelly ◽  
J.W. van Orden ◽  
T. de Forest ◽  
W.C. Hermans

2014 ◽  
Vol 23 (09) ◽  
pp. 1450046 ◽  
Author(s):  
A. D. Salman ◽  
N. Al-Dahan ◽  
F. I. Sharrad ◽  
I. Hossain

Inelastic electron scattering form factors for 29 Si nucleus with total angular momentum and positive parity (Jπ) and excited energy (3/2+, 1.273 MeV; 5/2+, 2.028 MeV; 3/2+, 2.425 MeV and 7/2+, 4.079 MeV) have been calculated using higher energy configurations outside the sd-shell. The calculations of inelastic form factors up to the first- and second-order with and without core-polarization (CP) effects were compared with the available experimental data. The calculations of inelastic electron scattering form factors up to the first-order with CP effects are in agreement with the experimental data, excepted for states 3/2+(1.273 MeV) and 5/2+(2.028 MeV) and without this effect are failed for all states. Furthermore, the calculations of inelastic electron scattering form factors up to the second-order with CP effects are in agreement with the experimental data for 3/2+(1.273 MeV) and 5/2+(2.028 MeV).


2003 ◽  
Vol 723 (1-2) ◽  
pp. 181-204 ◽  
Author(s):  
J.E. Amaro ◽  
M.B. Barbaro ◽  
J.A. Caballero ◽  
T.W. Donnelly ◽  
A. Molinari

2016 ◽  
Vol 94 (5) ◽  
Author(s):  
I. Ruiz Simo ◽  
J. E. Amaro ◽  
M. B. Barbaro ◽  
A. De Pace ◽  
J. A. Caballero ◽  
...  

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