Constraining the neutron-neutron scattering length with \eftnopi

Details Constraining the neutron-neutron scattering length with \eftnopi Constraining the neutron-neutron scattering length with \eftnopi

2011-06-16

arxiv.org/abs/1106.3171v1

Physics

Nuclear Physics

Nuclear Theory

28 pages, 6 figures, 2 tables

Scientific paper

We compute a model-independent correlation between the difference of neutron-neutron and proton-proton scattering lengths |a(nn)-a^C(pp)| and the splitting in binding energies between Helium-3 and tritium nuclei. We use the effective field theory without explicit pions to show that this correlation relies only on the existence of large scattering lengths in the NN system. Our leading-order calculation, taken together with experimental values for binding energies and a^C(pp), yields a(nn)=-22.9 \pm 4.1 fm.

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