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Measurement of the Nucleon Nucleon Scattering Length with the ESC04 Interaction

¹ Centro de Estudios en Física y Matemáticas Básicas y Aplicadas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, México
² Centro de Estudios en Física y Matemáticas Básicas y Aplicadas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, México
³ Centro de Estudios en Física y Matemáticas Básicas y Aplicadas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, México

World Journal of Nuclear Science and Technology·Volume 04 (2013)·Pages 16–20·Published 12 December 2013·DOI10.4236/wjnst.2014.41003

Abstract

We have determined a value for the 1 S 0 neutron-neutron scattering length ( a nn ). The scattering length result is presented for the extended-soft-core (ESC04) interaction. The value obtained in the present work is a nn = -18.6249 fm. The method of solution of the radial Schr?dinger equation with nonlocal potential for nucleonnucleon pairs is described and the result is consistent with previous determinations of a nn = -18.63 ± 0.10 (statistical) ± 0.44 (systematic) ± 0.30 (theoretical) fm. The nonlocal potentials are of the central, spin-spin, spin-or-bital, and tensor type. The analysis from the ESC04 interaction is done at energies 0 ￡ T lab ￡ 350 MeV. We compare the present result with experimental S-wave phase shifts analysis and agreement is found.

KeywordsNucleon-Induced ReactionsS-Matrix TheoryScattering Theory

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Measurement of the Nucleon Nucleon Scattering Length with the ESC04 Interaction

Abstract

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