4.5 Article

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

Journal

PHYSICAL REVIEW C
Volume 90, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.90.034005

Keywords

-

Funding

  1. NSF [PHY-1002478, PHY-1306250]
  2. DFG [SFB/TR 16]
  3. BMBF [05P12PDFTE]
  4. Helmholtz Association [HA216/EMMI]
  5. Studienstiftung des deutschen Volkes
  6. Bonn-Cologne Graduate School of Physics and Astronomy
  7. Direct For Mathematical & Physical Scien
  8. Division Of Physics [1306250] Funding Source: National Science Foundation
  9. Division Of Physics
  10. Direct For Mathematical & Physical Scien [1002478] Funding Source: National Science Foundation

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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 (4)a(p-d) = (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.

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