Precision calculation of the quartet-channel p-d scattering length

Abstract

We present a fully perturbative calculation of the quartet-channel proton--deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space and allows for a clear linear extrapolation back to the physical limit without screening. Our result of (10.9 +/- 0.4) fm agrees with older experimental determinations of this quantity but deviates from potential-model calculations and a more recent result from Black et al., which find larger values around 14 fm. As a possible resolution to this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

9 pages, 7 figures, published version

References in corpus (3)

• Effective field theory of 3He
• Causality constraints for charged particles
• ${}^3\mathrm{He}$ and $pd$ Scattering to Next-to-Leading Order in Pionless Effective Field Theory

Cited by in corpus (9)

• Nuclear effective field theory: status and perspectives
• The proton-deuteron system in pionless EFT revisited
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• Few nucleons scattering in pionless effective field theory
• Three-body systems in pionless effective field theory
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Few-Nucleon Systems within Finite-Cutoff Pionless EFT
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry