Spectra and scattering of light lattice nuclei from effective field theory

J. Kirscher, N. Barnea, D. Gazit, F. Pederiva, and U. van Kolck
Phys. Rev. C 92, 054002 – Published 17 November 2015

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 α-particle binding energy. For mπ=510 MeV we obtain, respectively, 4anD=2.3±1.3 fm, 2anD=2.2±2.1 fm, and Bα=35±22 MeV, while for mπ=805 MeV 4anD=1.6±1.3 fm, 2anD=0.62±1.0 fm, and Bα=94±45 MeV are found. Phillips- and Tjon-like correlations to the triton binding energy are established. We find the theoretical uncertainty in the respective correlation bands to be independent of 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 α particle are discussed.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
1 More
  • Received 30 June 2015

DOI:https://doi.org/10.1103/PhysRevC.92.054002

©2015 American Physical Society

Authors & Affiliations

J. Kirscher1, N. Barnea1, D. Gazit1, F. Pederiva2,3, and U. van Kolck4,5

  • 1Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
  • 2Physics Department, University of Trento, via Sommarive 14, I-38123 Trento, Italy
  • 3INFN-TIFPA Trento Institute for Fundamental Physics and Applications, Trento, Italy
  • 4Institut de Physique Nucléaire, CNRS/IN2P3, Université Paris-Sud, F-91406 Orsay, France
  • 5Department of Physics, University of Arizona, Tucson, Arizona 85721, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 92, Iss. 5 — November 2015

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×