Newtonian iteration schemes for solving the three-boson scattering problem on a line

O. Chuluunbaatar; I. V. Puzynin; D. V. Pavlov; A. A. Gusev; S. Y. Larsen; Sergey I. Vinitsky

doi:10.1117/12.469597

3 June 2002 Newtonian iteration schemes for solving the three-boson scattering problem on a line

O. Chuluunbaatar, I. V. Puzynin, D. V. Pavlov, A. A. Gusev, S. Y. Larsen, Sergey I. Vinitsky

Proceedings Volume 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II; (2002) https://doi.org/10.1117/12.469597
Event: Saratov Fall Meeting 2001, 2001, Saratov, Russian Federation

Abstract

A three-body scattering problem is formulated in an adiabatic representation as a multi-channel spectral problem for a system of one-dimensional integral equations using the Schwinger variational functional. The stable Newtonian iteration schemes for calculating the eigenfunctions and eigenvalues which are phase shift and energy for continuous and discrete spectrum, correspondingly, are elaborated. Convergence and efficiency of the proposed schemes are demonstrated using the exact solvable model of three identical particles (bosons) on a line with pair attractive (delta) -potentials.

Citation Download Citation

O. Chuluunbaatar, I. V. Puzynin, D. V. Pavlov, A. A. Gusev, S. Y. Larsen, and Sergey I. Vinitsky "Newtonian iteration schemes for solving the three-boson scattering problem on a line", Proc. SPIE 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II, (3 June 2002); https://doi.org/10.1117/12.469597

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