The Open UniversitySkip to content

The angular momentum dependence of nuclear optical potentials

Mackintosh, R. S. (2019). The angular momentum dependence of nuclear optical potentials. The European Physical Journal A, 55(9), article no. 147.

Full text available as:
PDF (Version of Record) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (767kB) | Preview
DOI (Digital Object Identifier) Link:
Google Scholar: Look up in Google Scholar


The nuclear optical model potential (OMP) is generally assumed to be independent of the orbital angular momentum, l , of the interacting nuclei. Nucleon-nucleus and nucleus-nucleus interactions are customarily l independent in calculations of nuclear elastic scattering and in standard reaction codes. The evidence for various forms of l dependence of OMPs is reviewed and the importance of implementing these forms is evaluated. Existing arguments and evidence for l dependence are reviewed and new arguments and calculations are introduced. The relationship is examined between i) l dependence, and, ii) the undularity (waviness) of l -independent potentials that are S -matrix equivalent to l -dependent potentials. Such undularity is a property of the dynamic polarisation potential (DPP) generated by the coupling to reaction channels, or by coupling to excited states of the target or projectile nuclei. Various examples, particularly involving weakly bound projectile nuclei, are reviewed. Undularity is also a property of l -independent potentials that have been found in model-independent fits to precise, wide angular range, elastic scattering angular distributions; such undularity therefore indicates underlying l dependence. Cases of such phenomenological undularity, for both light and heavy ions, are referenced and shown to be related to undulatory properties of the dynamic polarisation potentials (DPPs) arising from channel coupling. Other forms of l dependence, that could be standard options in direct reaction codes, are also reviewed. The case is made that reaction-induced l dependence is a general property of nucleon-nucleus and nucleus-nucleus interactions and represents a valid extension of the nuclear optical model. A particular form of l dependence, parity dependence, arises due to the exchange of identical particles.

Item Type: Journal Item
Copyright Holders: 2019 The Author
ISSN: 1434-601X
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 66536
Depositing User: Raymond Mackintosh
Date Deposited: 11 Sep 2019 10:18
Last Modified: 19 Sep 2019 21:42
Share this page:


Altmetrics from Altmetric

Citations from Dimensions

Download history for this item

These details should be considered as only a guide to the number of downloads performed manually. Algorithmic methods have been applied in an attempt to remove automated downloads from the displayed statistics but no guarantee can be made as to the accuracy of the figures.

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU