Exchange contributions to nucleus-nucleus potentials deduced from RGM phase shifts using inversion

Mackintosh, R. S.; Cooper, S.G.

doi:10.1016/0375-9474(95)00171-v

Cited by 15 publications

(44 citation statements)

References 21 publications

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“…Many other cases have also been studied, providing information concerning the manner in which different exchange processes contribute to the mass dependence, energy dependence and parity dependence of nucleus-nucleus local equivalent potentials. For particular cases, see [70,87,[119][120][121][122]. The first of these effectively evaluates the accuracy, as a function of energy, of the WKB inversion method for the case of 16 O+ 16 O.…”

Section: Resonating Group Methods S-matrixmentioning

confidence: 99%

The application of inversion to nuclear scattering

Kukulin

Mackintosh

2004

J. Phys. G: Nucl. Part. Phys.

141

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We review the application of inverse scattering in nuclear physics. We emphasize the various ways in which inversion can be used to understand nuclear interactions, and survey the results that have been obtained. We discuss S → V inversion from both theoretical and experimentally fitted S-matrices as well as a new method for direct observable →V inversion. The various alternative approaches to inverse scattering are briefly reviewed, and their range of applicability is discussed. This is not a review of formal inversion methods, but the iterative perturbative (IP) approach is described in some detail together with a discussion of the physics results which have been obtained using it and other inversion methods. The case of p+4He scattering is presented in some detail as a case study exemplifying the kind of information which can now be obtained by the application of inverse scattering techniques. It also brings out the comparative properties of different inversion methods.

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Section: Resonating Group Methods S-matrixmentioning

confidence: 99%

The application of inversion to nuclear scattering

Kukulin

Mackintosh

2004

J. Phys. G: Nucl. Part. Phys.

141

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“…An extreme case of parity dependence, as determined from RGM S-matrix elements, is 3 He on 4 He, see Ref. [72].…”

Section: H the Special Case Of Parity-dependencementioning

confidence: 99%

The angular momentum dependence of nuclear optical potentials

Mackintosh

2019

Eur. Phys. J. A

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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 presented. Such undularity also occurs in l-independent potentials that have been found in model independent fits to precise wide angular range elastic scattering angular distributions.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 noted. Of particular importance are l dependencies arising from full antisymmetrization.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.

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“…The contributions, together and separately, of specific exchange terms for 4 He + 16 O, 3 He + 4 He and 3 H + 4 He, were studied by inversion in Ref. [86]. Of the various conclusions that were drawn, we mention just one: when a parity-independent purely phenomenological imaginary potential is included in the RGM calculation, in order to enable a more reasonable comparison with experiment, the imaginary part of the inverted potential is parity dependent.…”

Section: Rgm Gcm and Other Few-body Cases; Exchange Contributionsmentioning

confidence: 99%

Inverse scattering: applications in nuclear physics

Mackintosh¹

2012

Scholarpedia

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In what follows we first set the context for inverse scattering in nuclear physics with a brief account of inverse problems in general. We then turn to inverse scattering which involves the S-matrix, which connects the interaction potential between two scattering particles with the measured scattering cross section. The term 'inverse' is a reference to the fact that instead of determining the scattering S-matrix from the interaction potential between the scattering particles, we do the inverse. That is to say, we calculate the interaction potential from the S-matrix. This review explains how this can now be done reliably, but the emphasis will be upon reasons why one should wish to do this, with an account of some of the ways this can lead to understanding concerning nuclear interactions.

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Exchange contributions to nucleus-nucleus potentials deduced from RGM phase shifts using inversion

Cited by 15 publications

References 21 publications

The application of inversion to nuclear scattering

The application of inversion to nuclear scattering

The angular momentum dependence of nuclear optical potentials

Inverse scattering: applications in nuclear physics

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