https://doi.org/10.1051/epjconf/201611304011
The proton–deuteron scattering length in pionless EFT
1 Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
2 Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
3 ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
Published online: 25 March 2016
We present a fully perturbative calculation of the quartet-channel proton–deuteron scattering length (4ap–d) up to next-to-next-to-leading order (NNLO) in pionless effective field theory. In particular, we use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space. We find a natural convergence pattern as we go to higher orders in the EFT expansion. Our NNLO result of (10.9 ± 0.4) fm agrees with older experimental determinations but deviates from more recent calculations, which find values around 14 fm. To resolve this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.
© Owned by the authors, published by EDP Sciences, 2016
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