OPEN ACCESS WJNST Measurement of the Nucleon Nucleon Scattering Length with the ESC04 Interaction

Copyright © 2014 Roberto Arceo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In accor-dance of the Creative Commons Attribution License all Copyrights © 2014 are reserved for SCIRP and the owner of the intellectual property Roberto Arceo et al. All Copyright © 2014 are guarded by law and by SCIRP as a guardian. We have determined a value for the 1S0 neutron-neutron scattering length (ann). The scattering length result is presented for the extended-soft-core (ESC04) interaction. The value obtained in the present work is ann = −18.6249 fm. The method of solution of the radial Schrödinger equation with nonlocal potential for nucleon-nucleon pairs is described and the result is consistent with previous determinations of ann = −18.63 ± 0.10 (statis-tical) ± 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 ≤ Tlab ≤ 350 MeV. We com-pare the present result with experimental S-wave phase shifts analysis and agreement is found