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Low Energy Expansion in the Three Body System to All Orders and the Triton Channel
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We extend and systematise the power counting for the three-body system, in the context of the ``pion-less'' Effective Field Theory approach, to all orders in the low-energy expansion. We show that a sub-leading part of the three-body force appears at the third order and delineate how the expansion proceeds at higher orders. After discussing the renormalisation issues in a simple bosonic model, we compute the phase shifts for neutron-deuteron scattering in the doublet S wave (triton) channel and compare our results with phase shift analysis and potential model calculations.
Forward citations
Cited by 7 Pith papers
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Model-independent mass determination of near-threshold states from short-range production
A model-independent minimum in short-range production rates of dimer-spectator systems allows precise mass extraction for near-threshold states via a fixed relation to the observed dip position.
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Finite-range EFT for the $E1$ strength distribution of ${}^6$He
Finite-range Halo EFT with separable interactions computes the E1 strength distribution of ⁶He at NLO and rms charge radius 2.00 ± 0.09 fm, both agreeing with data within theory errors.
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Three- and four-boson systems expanded around the unitarity limit: Application to $^4$He
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Searching for the Tetraneutron Resonance on the Lattice
Lattice EFT calculations find no resonance signature in the tetraneutron ground-state energy, only a weak attraction in the dineutron-dineutron phase shift whose confined energy is close to the experimental low-energy peak.
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Short-range production of three bottom mesons
Leading-order predictions for three-body point production rates of B and B* meson systems are derived in short-range NREFT from two-body input alone.
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Coulomb Corrections to Three-Nucleon Moments
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Coulomb Effects and Wigner-SU(4) Symmetry in He-3 Charge and Magnetic Properties
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