Low-energy p-d scattering and He-3 in pionless EFT

Abstract

We calculate low-energy proton--deuteron scattering in the framework of pionless effective field theory. In the quartet channel, we calculate the elastic scattering phase shift up to next-to-next-to-leading order in the power counting. In the doublet channel, we perform a next-to-leading order calculation. We obtain good agreement with the available phase shift analyses down to the scattering threshold. The phase shifts in the region of non-perturbative Coulomb interactions are calculated by using an optimised integration mesh. Moreover, the Coulomb contribution to the 3He-3H binding energy difference is evaluated in first order perturbation theory. We comment on the implications of our results for the power counting of subleading three-body forces.

27 pages, 13 figures, typos corrected in Sec. V.A (trinucleon wave functions)

References in corpus (9)

• Nuclear Physics from Lattice QCD
• Efimov States in Nuclear and Particle Physics
• Proton-proton fusion in pionless effective theory
• The Three-Boson System at Next-To-Next-To-Leading Order
• Low energy proton-proton scattering in effective field theory
• Effective field theory of 3He
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• Beyond universality in three-body recombination: an Effective Field Theory treatment
• Renormalization-group analysis for low-energy scattering of charged particles

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• ${}^3\mathrm{He}$ and $pd$ Scattering to Next-to-Leading Order in Pionless Effective Field Theory
• The Triton Charge Radius to Next-to-next-to-leading order in Pionless Effective Field Theory
• The proton-deuteron system in pionless EFT revisited
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Tritium $\beta$-decay in pionless effective field theory
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• Do we know how to count powers in pionless and pionful effective field theory?
• $nd$ Scattering and the $A_y$ Puzzle to Next-to-next-to-next-to-leading Order
• Constraining the neutron-neutron scattering length with \eftnopi
• The Coulomb interaction in Helium-3: Interplay of strong short-range and weak long-range potentials
• Precision calculation of the quartet-channel p-d scattering length
• Three-body systems in pionless effective field theory
• Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Few-Nucleon Systems within Finite-Cutoff Pionless EFT
• Efimov universality with Coulomb interaction
• A renormalization method for three-boson system with a triboson field
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry