Universal correlations in Pion-less EFT with the resonating group model: Three and four nucleons. Kirscher, J., Grießhammer, H. W., Shukla, D., & Hofmann, H. M. In Proceedings of Science, volume 86, pages 105, 2009. doi abstract bibtex 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 3He-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 an expansion parameter of about 31 , 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.
@inproceedings{kirscher_universal_2009,
abstract = {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 3He-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 an expansion parameter of about 31 , 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.},
annote = {\_eprint: 0909.5606},
author = {Kirscher, Johannes and Grie{\ss}hammer, Harald W. and Shukla, Deepshikha and Hofmann, Hartmut M.},
booktitle = {Proceedings of Science},
doi = {10.22323/1.086.0105},
issn = {18248039},
pages = {105},
title = {{Universal correlations in Pion-less EFT with the resonating group model: Three and four nucleons}},
volume = {86},
year = {2009}
}
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