In this paper we extend our previous analysis of the scattering of wave packets in one dimension to the case of the square-well potential. The analytic properties of the general scattering solution are emphasized thereby making the analysis useful as introductory material for a more sophisticated S-matrix treatment. The square-well model is particularly interesting because of its application to the deuteron problem. Resonance scattering, barrier penetration, time delay, and line shape are discussed at the level of the first-year graduate student.
This paper treats the scattering of wave packets in one space dimension at the mathematical level of the first-year graduate student. The analytic properties of the general-scattering solutions are emphasized, thereby making the analysis useful as introductory material for a more sophisticated S-matrix treatment. Resonant scattering, time delay, and line shape, as well as the relationship between bound and resonant states, all follow as a natural consequence of the analysis.
Energy-dependent and energy-independent partial-wave analyses of the low-energy a T p elastic and chargeexchange scattering data are presented. Unique, unitary, energy-dependent solutions giving a x2/datum of 1 are obtained. The solutions exhibit charge splitting in both the S,, and P,, partial waves. The T-matrix pole positions and residues of the A + + and A0 resonances are determined to a new precision. D and F waves are well determined independent of theoretical constraints. New values for the S -and P-wave scattering lengths and effective ranges are reported.
V . S. Z I D E L L , R . A . A R N D T , A N D L . D . R O P E R2 -8 * 0.7 and r+, = 99.49k 0.28 MeV independent of ef-
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