Constraining the neutron-neutron scattering length with \eftnopi
Nuclear Theory
2013-05-29 v1 Nuclear Experiment
Abstract
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.
Cite
@article{arxiv.1106.3171,
title = {Constraining the neutron-neutron scattering length with \eftnopi},
author = {Johannes Kirscher and Daniel R. Phillips},
journal= {arXiv preprint arXiv:1106.3171},
year = {2013}
}
Comments
28 pages, 6 figures, 2 tables