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Atlas of Data 4: Shapes of Transition Densities in (p, p’) Scattering from Light (s-d) Shell Nuclei



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Atlas of Data 4: Shapes of Transition Densities in (p, p’) Scattering from Light (s-d) Shell Nuclei // London: British Digital Library (ELIBRARY.ORG.UK). Updated: 02.04.2026 . URL: https://elibrary.org.uk/m/book/download/96/3221 (date of access: 18.04.2026 )

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Reasons for Reading

The present Atlas of Data is a supplement to the author’s lecture courses available online. It reviews various experiments on inelastic scattering of polarized protons. The Atlas is aimed at providing a clear explanation of modern experiments related to the spin of protons at the excitation of the 2+ and 4+ states of 16,18О nuclei.

 

Opening Paragraph

Studies that have become classic, among light nuclei, distinguish deformed nuclei of the 12C, 24Mg,  28Si type and spherical nuclei of the 16О, 40Ar, 40Ca type. Here, we focus on the nuclei of the first type. The collective model used for description characterizes the nucleus in terms of shape and orientation variables. Thus, the structure of low-lying excitation is assumed to be due to vibrations or rotations of nuclei distribution. In the processes of scattering from these nuclei, it is especially effective to select for analysis suitable transitions of the 0+ - 2+- 4+ type and apply modeling within the framework of coupled-channel (CC) or DWBA treatments.

Summary

Atlas of Data 4 is a continuation of the previously published Atlases of Data 1–3. Here, we consider inelastic scattering of polarized protons in a wide range of their energies with the excitation of normal-parity states of (sd) shell nuclei. To analyze differential cross sections and analyzing powers, the proton transition densities previously fitted to the available electron scattering data, are used. Transition densities for some states have enough interior strength to sample the density dependence of the effective interaction. However, for other excitations transition densities are more surface peaked, so in these cases transitions are sensitive to changes in the effective interaction for the low density. This study demonstrates the use of the Kelly model for medium modifications to the two-nucleon effective interaction, based upon the results of nuclear matter theory. A number of specific examples are provided to show that the interaction properties primarily depend upon the local density in the interaction region, and have a very weak dependence on nucleus, state, and deformation. One of the main goals of this work is to further advance the assessment of the radial structure of the excited states of the target nucleus. For this purpose, the neutron transition density for the lowest 2+ state of 18O was fitted from proton scattering data. Prior to that, the reaction model was tested with minimal uncertainties in nuclear structure, using similar data for 16O, where, due to charge symmetry, the neutron transition density is equal to the proton density. The present analysis demonstrates the important role of neutrons in the 18O nucleus and is in satisfactory agreement with previous publications.

Recommended to

The Atlas of Data is recommended to students studying experimental nuclear physics at universities and polytechnic schools. It can be used as a guide to understanding elements of quantum mechanics. Such a guide, in the author’s opinion, can eliminate the existing gap in the available scientific literature.

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Atlas of Data 3 is a continuation of the previously published Atlas of Data 2. Here we consider specific spin manifestations of inelastic scattering of polarized protons from nuclei near N = 50. For this study, theoretical transition densities are very important. However, to create a nuclear empiric…
Published: 05.02.2026
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0 fan club members  · 0 comments
72 days ago · From Anatoli Plavko
The inelastic scattering of polarized protons at Ep 20 MeV is represented here in experiments from the odd–A spherical nucleus 89Y and the neighboring even-even nucleus 90Zr, as well as from the nucleus 92Mo. The corresponding microscopic and macroscopic DWBA (CC) calculations are also investigated.…
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187 days ago · From Anatoli Plavko
The materials presented below in the form of an atlas (called Atlas 2) are devoted to the manifestation of the spin of particles in their inelastic scattering from atomic nuclei. A number of analytical studies of physical phenomena observed in experiments are also discussed. Atlas 2 can be considere…
Published: 13.09.2025
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217 days ago · From Anatoli Plavko
The values of the normal-component spin observables, Ay, P and DNN are supplemented here with the double-scattering spin (polarization) transfer coefficients Dij  in the (p,p’) reactions. Measurements with the polarized beam, normal to the scattering plane, usually provide the cross-section dϭ/dΩ (θ…
Published: 23.06.2025
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299 days ago · From Anatoli Plavko
In Part II of Chapter Four of the author’s educational online Lecture Courses, the author offers a paper he wrote in collaboration with his colleagues, M. S. Onegin and V. I. Kudryashov. This paper is available in the open press in English and Russian. It combines and systematizes the remarkable exp…
Published: 03.06.2025
Catalog: Science 
0 fan club members  · 0 comments
319 days ago · From Anatoli Plavko
The author’s lecture courses available online seem to be overloaded with demonstration materials. Therefore, some of these materials, especially those relating to various experiments, are presented here separately in the form of an ATLAS that can be considered as a supplement to the lectures.
Published: 05.04.2025
Catalog: Science 
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378 days ago · From Anatoli Plavko
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PUBLISHER
Anatoli Plavko
St. Petersburg, Russia
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Posted Apr 02, 2026
Category: Science
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Book details
Author(s)A.V. Plavko
Cover Type (if the book was published)Soft Copy
Number of Pages29
Date Published02.04.2026
 
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