Measurement of the Nucleon Nucleon Scattering Length with the ESC04 Interaction

Roberto Arceoro, Gerardo Jesús Escalera Santos, Orlando Díaz-Hernández

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

DOI: 10.4236/wjnst.2014.41003                

Abstract

We have determined a value for the ¹S₀ 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.

Keywords

Nucleon-Induced Reactions; S-Matrix Theory; Scattering Theory

Conflicts of Interest

The authors declare no conflicts of interest.

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