Local potential models for the scattering of complex nuclei

B. Buck; H. Friedrich; C. Wheatley

doi:10.1016/0375-9474(77)90287-1

Local potential models for the scattering of complex nuclei

B. Buck, H. Friedrich, C. Wheatley

University of Oxford

Research output: Contribution to journal › Article › peer-review

380 Scopus citations

Abstract

We present evidence to support the use of local potentials for the description of elastic scattering of nuclei by nuclei. Starting from the resonating group formalism we suggest a simple ansatz for separating the dynamics of scattering from the effects of antisymmetrisation. The resulting factorisation of the resonating group equation is equivalent to an orthogonality condition model which may often be simplified even further to yield a Schrödinger equation with local potentials only. The approximation is applied to calculate the phase shifts and resonances in α-α, ³He-α and ¹⁶O- ¹⁶O scattering and is found to give a good representation of the available experimental data and of the results of full-scale calculations with complete antisymmetrisation.

Original language	English
Pages (from-to)	246-268
Number of pages	23
Journal	Nuclear Physics, Section A
Volume	275
Issue number	1
DOIs	https://doi.org/10.1016/0375-9474(77)90287-1
State	Published - 4 Jan 1977
Externally published	Yes

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title = "Local potential models for the scattering of complex nuclei",

abstract = "We present evidence to support the use of local potentials for the description of elastic scattering of nuclei by nuclei. Starting from the resonating group formalism we suggest a simple ansatz for separating the dynamics of scattering from the effects of antisymmetrisation. The resulting factorisation of the resonating group equation is equivalent to an orthogonality condition model which may often be simplified even further to yield a Schr{\"o}dinger equation with local potentials only. The approximation is applied to calculate the phase shifts and resonances in α-α, 3He-α and 16O- 16O scattering and is found to give a good representation of the available experimental data and of the results of full-scale calculations with complete antisymmetrisation.",

author = "B. Buck and H. Friedrich and C. Wheatley",

note = "Funding Information: We thank Dr. W. S. Pong for useful discussions. H. Friedrich is supported by a grant from the Deutsche Forschungsgemeinschaft and he is grateful to Frof. R. J. Elliott for hospitality in the Department ofTheoretical Physics, Oxford. C. Wheatley is supported by a grant from the Science Research Council.",

year = "1977",

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doi = "10.1016/0375-9474(77)90287-1",

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T1 - Local potential models for the scattering of complex nuclei

AU - Buck, B.

AU - Friedrich, H.

AU - Wheatley, C.

N1 - Funding Information: We thank Dr. W. S. Pong for useful discussions. H. Friedrich is supported by a grant from the Deutsche Forschungsgemeinschaft and he is grateful to Frof. R. J. Elliott for hospitality in the Department ofTheoretical Physics, Oxford. C. Wheatley is supported by a grant from the Science Research Council.

PY - 1977/1/4

Y1 - 1977/1/4

N2 - We present evidence to support the use of local potentials for the description of elastic scattering of nuclei by nuclei. Starting from the resonating group formalism we suggest a simple ansatz for separating the dynamics of scattering from the effects of antisymmetrisation. The resulting factorisation of the resonating group equation is equivalent to an orthogonality condition model which may often be simplified even further to yield a Schrödinger equation with local potentials only. The approximation is applied to calculate the phase shifts and resonances in α-α, 3He-α and 16O- 16O scattering and is found to give a good representation of the available experimental data and of the results of full-scale calculations with complete antisymmetrisation.

AB - We present evidence to support the use of local potentials for the description of elastic scattering of nuclei by nuclei. Starting from the resonating group formalism we suggest a simple ansatz for separating the dynamics of scattering from the effects of antisymmetrisation. The resulting factorisation of the resonating group equation is equivalent to an orthogonality condition model which may often be simplified even further to yield a Schrödinger equation with local potentials only. The approximation is applied to calculate the phase shifts and resonances in α-α, 3He-α and 16O- 16O scattering and is found to give a good representation of the available experimental data and of the results of full-scale calculations with complete antisymmetrisation.

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DO - 10.1016/0375-9474(77)90287-1

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JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

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Local potential models for the scattering of complex nuclei

Abstract

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