Three-Nucleon Problem with Separable Potentials | Zendy

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Three-Nucleon Problem with Separable Potentials

Author(s) -

Myron Bander

Publication year - 1965

Publication title -

physical review

Language(s) - English

Resource type - Journals

eISSN - 1536-6065

pISSN - 0031-899X

DOI - 10.1103/physrev.138.b322

Subject(s) - separable space , faddeev equations , physics , nucleon , bound state , scattering amplitude , formalism (music) , three body problem , quantum electrodynamics , scattering , fredholm integral equation , many body problem , fredholm determinant , two body problem , amplitude , classical mechanics , integral equation , mathematical physics , quantum mechanics , particle physics , mathematical analysis , mathematics , art , musical , visual arts

Author(s): Bander, M | Abstract: The low-energy three-nucleon problem with two-particle separable potentials is solved. The formalism of Faddeev in recasting the three-body equations into Fredholm form and subsequent angular-momentum reductions are carried out. Upon searching for a bound state, two poles of the amplitude are found. Upon further examination, one of the poles is found to have a residue whose sign is opposite to those encountered in scattering with local field theory or with local potentials. © 1965 The American Physical Society.

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