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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Journal articles
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Submitted on : Thursday, September 24, 2015 - 5:10:58 PM
Last modification on : Tuesday, November 30, 2021 - 8:32:05 AM

Citation

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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