World Journal of Nuclear Science and Technology

Volume 4, Issue 1 (January 2014)

ISSN Print: 2161-6795   ISSN Online: 2161-6809

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Measurement of the Nucleon Nucleon Scattering Length with the ESC04 Interaction

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DOI: 10.4236/wjnst.2014.41003    4,307 Downloads   5,917 Views  Citations

ABSTRACT

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 Schr?dinger equation with nonlocal potential for nucleonnucleon pairs is described and the result is consistent with previous determinations of ann = -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 Tlab 350 MeV. We compare the present result with experimental S-wave phase shifts analysis and agreement is found.

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R. Arceoro, G. Santos and O. Díaz-Hernández, "Measurement of the Nucleon Nucleon Scattering Length with the ESC04 Interaction," World Journal of Nuclear Science and Technology, Vol. 4 No. 1, 2014, pp. 16-20. doi: 10.4236/wjnst.2014.41003.

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