https://doi.org/10.1051/epjconf/20100304005
Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
1
Center for Nuclear Studies, Department of Physics, The George
Washington University, Washington, DC
20052,
USA
2
Department of Physics and Astronomy, University of North
Carolina, Chapel
Hill, NC
27599-3255,
USA
3
Institut für Theoretische Physik III, Department für Physik,
Universität Erlangen-Nürnberg, D-91058
Erlangen,
Germany
a e-mail: kirscher@gwmail.gwu.edu
A systematic connection between QCD and nuclear few- and many-body properties in
the form of the Effective Field Theory “without pions” is applied to
A ≤ 6 nuclei to determine its range of applicability. We
present results at next-to-leading order for the Tjon correlation and for a
correlation between the singlet S-wave 3 He-neutron scattering length and the
triton binding energy. In the A = 6 sector we performed leading
order calculations for the binding energy and the charge and matter radii of the
halo nucleus 6He. Also at leading order, the doublet S-wave
4-He-neutron phase shifts are compared with R-matrix data. These analysis
provide evidence for a sufficiently fast convergence of the effective field theory,
in particular, our results in A ≤ 4 predict 1 an expansion
parameter of about , and they converge to data within the predicted
uncertainty band at this order. A properly adjusted three-body contact force
which we include together with the Coulomb interaction in all calculations is
found to correctly renormalize the pion-less theory at leading- and
next-to-leading order, i.e., the power counting does not
require four-body forces at the respective order.
© Owned by the authors, published by EDP Sciences, 2010