${}^{3}\mathrm{He}$ and $pd$ Scattering to Next-to-Leading Order in Pionless Effective Field Theory

David A. Egolf; Jared Vanasse; John Kerin; Roxanne P. Springer; Sebastian K\"onig

arxiv: 1402.5441 · v2 · pith:45MVAA5Bnew · submitted 2014-02-21 · ⚛️ nucl-th

{}³He and pd Scattering to Next-to-Leading Order in Pionless Effective Field Theory

Jared Vanasse , David A. Egolf , John Kerin , Sebastian K\"onig , Roxanne P. Springer This is my paper

classification ⚛️ nucl-th

keywords three-bodyorderscatteringeffectivefieldforcemathrmnext-to-leading

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We study the three-body systems of ${}^{3}\mathrm{He}$ and $pd$ scattering and demonstrate, both analytically and numerically, that a new $pd$ 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 $nd$ scattering. We include electromagnetic effects by iterating only diagrams that involve a single photon exchange in the three-body sector.

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