Constraining the neutron-neutron scattering length with \eftnopi

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.

28 pages, 6 figures, 2 tables

References in corpus (9)

• Charge Symmetry Breaking and QCD
• alpha-alpha Scattering in Halo Effective Field Theory
• Extracting the neutron-neutron scattering length -- recent developments
• Low energy proton-proton scattering in effective field theory
• Effective field theory of 3He
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• Low-energy p-d scattering and He-3 in pionless EFT
• Renormalization-group analysis for low-energy scattering of charged particles
• A Two Potential Formula and its Application to Proton-Proton Scattering

Cited by in corpus (9)

• Nuclear effective field theory: status and perspectives
• Effective field theory description of halo nuclei
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• Three-nucleon bound states and the Wigner-SU(4) limit
• The proton-deuteron system in pionless EFT revisited
• Constraints on a possible dineutron state from pionless EFT
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• The Coulomb interaction in Helium-3: Interplay of strong short-range and weak long-range potentials
• Nucleon-Nucleon interaction, charge symmetry breaking and renormalization