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Nucleon-Trinucleon Scattering in Terms of the Schmidt Expansion. I: Faddeev's Residue Prescription
Author(s) -
Yoshiko Matsui
Publication year - 1992
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/87.6.1387
Subject(s) - physics , faddeev equations , scattering amplitude , nucleon , mathematical physics , formalism (music) , amplitude , quantum electrodynamics , breakup , scattering , classical mechanics , quantum mechanics , particle physics , art , musical , mechanics , visual arts
In order to define the elastic/rearrangement and the breakup amplitudes for nucleon·trinucleon (NT) scattering in conformity with Faddeev's residue prescription, a pole term decomposition of the amplitudes for 3+ 1 and 2+2 subsystems is introduced. New Osborn·type equations for these four·nucleon amplitudes are derived. The obtained Osborn equations are expressed in practical form using the Schmidt expansion for each subamplitude. In order to clarify the difference between Faddeev's formalism and the previously proposed one based on the various pole expansions, a detailed comparison of them is made.

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