$^{3}\mathrm{He}$ and $pd$ scattering to next-to-leading order in pionless effective field theory

${}^{3}{He}$ and $p d$ scattering to next-to-leading order in pionless effective field theory

Jared Vanasse, David A. Egolf, John Kerin, Sebastian König, and Roxanne P. Springer

Phys. Rev. C 89, 064003 – Published 12 June 2014

Abstract

We study the three-body systems of ${}^{3}{He}$ and $p d$ scattering and demonstrate, both analytically and numerically, that a new $p d$ three-body force is needed at next-to-leading order in pionless effective field theory. We also show that at leading order these observables require no new three-body force beyond what is necessary to describe $n d$ scattering. We include electromagnetic effects by iterating only diagrams that involve a single photon exchange in the three-body sector.

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Received 10 March 2014
Corrected 24 June 2014

DOI:https://doi.org/10.1103/PhysRevC.89.064003

Corrections

24 June 2014

Authors & Affiliations

Jared Vanasse^1,*, David A. Egolf^2,†, John Kerin^2,‡, Sebastian König^3,4,§, and Roxanne P. Springer^1,∥

¹Department of Physics, Duke University, Durham, North Carolina 27708, USA
²Department of Physics, Georgetown University, Washington, DC 20057, USA
³Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
⁴Helmholtz-Institut für Strahlen-und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany

^*jjv9@phy.duke.edu
^†dae3@georgetown.edu
^‡jak247@georgetown.edu
^§koenig.389@physics.osu.edu
^∥rps@phy.duke.edu

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Vol. 89, Iss. 6 — June 2014

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Physical Review C

covering nuclear physics

${}^{3}{He}$ and $p d$ scattering to next-to-leading order in pionless effective field theory

Jared Vanasse, David A. Egolf, John Kerin, Sebastian König, and Roxanne P. Springer

Phys. Rev. C 89, 064003 – Published 12 June 2014

Abstract

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Physical Review C

covering nuclear physics

He3 and pd scattering to next-to-leading order in pionless effective field theory

Jared Vanasse, David A. Egolf, John Kerin, Sebastian König, and Roxanne P. Springer

Phys. Rev. C 89, 064003 – Published 12 June 2014

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${}^{3}{He}$ and $p d$ scattering to next-to-leading order in pionless effective field theory