Spectra and scattering of light lattice nuclei from effective field theory

Abstract : An effective field theory is used to describe light nuclei, calculated from quantum chromodynamics on a lattice at unphysically large pion masses. The theory is calibrated at leading order to two available data sets on two- and three-body nuclei for two pion masses. At those pion masses we predict the quartet and doublet neutron-deuteron scattering lengths, and the alpha-particle binding energy. For $m_\pi=510~$MeV we obtain, respectively, $^4a_{\rm nD}=2.3\pm 1.3~$fm, $^2a_{\rm nD}=2.2\pm 2.1~$fm, and $B_{\alpha}^{}=35\pm 22~$MeV, while for $m_\pi=805~$MeV $^4a_{\rm nD}=1.6\pm 1.3~$fm, $^2a_{\rm nD}=0.62\pm 1.0~$fm, and $B_{\alpha}^{}=94\pm 45~$MeV are found. Phillips- and Tjon-like correlations to the triton binding energy are established. Higher-order effects on the respective correlation bands are found insensitive to the pion mass. As a benchmark, we present results for the physical pion mass, using experimental two-body scattering lengths and the triton binding energy as input. Hints of subtle changes in the structure of the triton and alpha particle are discussed.
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Contributor : Sophie Heurteau <>
Submitted on : Thursday, September 24, 2015 - 5:10:58 PM
Last modification on : Thursday, January 11, 2018 - 6:12:39 AM

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J. Kirscher, N. Barnea, D. Gazit, F. Pederiva, U. van Kolck. Spectra and scattering of light lattice nuclei from effective field theory. Physical Review C, American Physical Society, 2015, 92 (5), pp.054002. ⟨10.1103/PhysRevC.92.054002⟩. ⟨in2p3-01204946⟩

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