Using inverse scattering methods to study inter-nucleus potentials

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

doi:10.1088/0954-3899/24/8/039

Cited by 7 publications

(5 citation statements)

References 32 publications

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“…The quantity corresponding to σ as defined here, but related to the complex S-matrix, is referred to as the 'phase shift distance' in [62,64] and subsequent papers, (see, for example, the earlier review [65]).…”

Section: Formulation Of Ip Inversionmentioning

confidence: 99%

The application of inversion to nuclear scattering

Kukulin

Mackintosh

2004

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

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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: Formulation Of Ip Inversionmentioning

confidence: 99%

The application of inversion to nuclear scattering

Kukulin

Mackintosh

2004

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

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141

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“…The uncertainties arising at the S → V stage are less important. Various strategies are possible, such as the inclusion of a priori information from theory [14]. Here we adopt the approach of using extremely small inversion bases (two or three Gaussian functions) so that, in effect, we find the smoothest, minimally energy-dependent, potential fitting the data at all six energies.…”

mentioning

confidence: 99%

“…The present analysis firmly establishes that most terms in the d - 4 He potential are substantially parity dependent, casting doubt on parity independent d - 4 He potentials, including the potential of Frick et al [7] with its remarkably large V (t) interaction. RGM theory [14,16] predicts parity dependence for central components, but the strong parity dependence in V (t) suggests a new physical process.…”

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confidence: 99%

Spin 1 inversion: A Majorana tensor force for deuteron alpha scattering

et al. 1999

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We demonstrate, for the first time, successful S-matrix to potential inversion for spin one projectiles with non-diagonal S j ll ′ yielding a T R interaction. The method is a generalization of the iterative-perturbative, IP, method. We present a test case indicating the degree of uniqueness of the potential. The method is adapted, using established procedures, into direct observable to potential inversion, fitting σ, iT 11 , T 20 , T 21 and T 22 for d + alpha scattering over a range of energies near 10 MeV. The T R interaction which we find is very different from that proposed elsewhere, both real and imaginary parts being very different for odd and even parity channels.

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“…An earlier short review of IP inversion and its applications, including some examples not discussed here, can be found in Ref. [35].…”

Section: The Ip Methods and Its Extensionsmentioning

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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Using inverse scattering methods to study inter-nucleus potentials

Cited by 7 publications

References 32 publications

The application of inversion to nuclear scattering

The application of inversion to nuclear scattering

Spin 1 inversion: A Majorana tensor force for deuteron alpha scattering

Inverse scattering: applications in nuclear physics

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