Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2006-10-09
Phys.Lett. B643 (2006) 263-267
Physics
Nuclear Physics
Nuclear Theory
10 pages, 4 figures, 2 tables. major changes, version to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2006.10.023
The cross section for the thermal neutron capture by the deuteron is calculated with pionless Effective Field Theory(EFT). No new Three-Nucleon forces are needed up to next-to-next-to-leading order in order to achieve cut-off independent results, besides those fixed by the triton binding energy and Nd scattering length in the triton channel. The cross-section is accurately determined to be $\sigma_{tot}=[0.503\pm 0.003]mb$. At zero energies, the magnetic $M1$-transition gives the dominant contribution and is calculated up to next-to-next-to-leading order (N$^2$LO). Close agreement between the available experimental data and the calculated cross section is reached. We demonstrate convergence and cutoff independence order by order in the low-energy expansion.
Bayegan S.
Griesshammer Harald W.
sadeghi Hossein
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