Effective field theory calculation of nd radiative capture at thermal energies

Abstract

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.

arXiv comment10 pages, 4 figures, 2 tables. major changes, version to appear in Phys. Lett. B

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Cited by in corpus (20)

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• Nuclear Physics Around the Unitarity Limit
• Low-Energy Universality in Atomic and Nuclear Physics
• Effective field theory of 3He
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• The Triton Charge Radius to Next-to-next-to-leading order in Pionless Effective Field Theory
• Parity-violating polarization in $np\to d\gamma$ with a pionless effective field theory
• Neutron-Deuteron System and Photon Polarization Parameter at Thermal Neutron Energies
• Efimov physics from a renormalization group perspective
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Triton Photodisintegration with Effective Field Theory
• Triton Electric Form Factor at Low-Energies
• Application of EFT at Thermal Energies
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Universality in Few-Body Systems
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry
• Estimating Consequences of 3-Body Forces