Few-body scattering integral equation approach

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For the investigation of few-body binding energy correlations, Lippmann-Schwinger-type equations with a simple structure of kernels have been used. This note presents N-body integral equations with simple kernel structures for the scattering of two composite particles in the incoming channel. Only the bound-state part of the subsystem Green's functions are used. This approach leads to coupled equations with kernels consisting of two-body interactions, the free Green's function, the bound-state wave function of the N-1, N-2, ..., two-body subsystem and the corresponding poles. Thus, in order to calculate an N-body t-amplitude, one must first calculate only the N-1, N-2, ..., two-body ... continued below

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Pages: 3

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Kroeger, H. & Perne, R. January 1, 1980.

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Description

For the investigation of few-body binding energy correlations, Lippmann-Schwinger-type equations with a simple structure of kernels have been used. This note presents N-body integral equations with simple kernel structures for the scattering of two composite particles in the incoming channel. Only the bound-state part of the subsystem Green's functions are used. This approach leads to coupled equations with kernels consisting of two-body interactions, the free Green's function, the bound-state wave function of the N-1, N-2, ..., two-body subsystem and the corresponding poles. Thus, in order to calculate an N-body t-amplitude, one must first calculate only the N-1, N-2, ..., two-body bound states and binding energies. In the low-energy region there is another advantage. If the scattering energy lies below some cluster breakup threshold, one can omit the pole corresponding to this cluster. (RWR)

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Pages: 3

Notes

NTIS, PC A02/MF A01.

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  • International conference on the few body problems, Eugene, OR, USA, 17 Aug 1980

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  • Report No.: CONF-800829-4
  • Grant Number: W-7405-ENG-26
  • Office of Scientific & Technical Information Report Number: 5159277
  • Archival Resource Key: ark:/67531/metadc1052808

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  • January 1, 1980

Added to The UNT Digital Library

  • Jan. 22, 2018, 7:23 a.m.

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  • Feb. 1, 2018, 6:25 p.m.

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Kroeger, H. & Perne, R. Few-body scattering integral equation approach, article, January 1, 1980; Tennessee. (digital.library.unt.edu/ark:/67531/metadc1052808/: accessed December 13, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.