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Low Energy Expansion in the Three Body System to All Orders and the Triton Channel

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arxiv nucl-th/0207034 v2 pith:CHUHXQQ7 submitted 2002-07-12 nucl-th

classification nucl-th
keywords expansionorderschannelmodelphasesystemthree-bodytriton
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Model-independent mass determination of near-threshold states from short-range production

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    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.

  2. Finite-range EFT for the $E1$ strength distribution of ${}^6$He

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    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.

  3. Three- and four-boson systems expanded around the unitarity limit: Application to $^4$He

    cond-mat.quant-gas 2026-05 unverdicted novelty 6.0 of 10

    EFT study of ^4He trimers and tetramers around unitarity limit yields binding energies and radii that converge to phenomenological potential results after including finite-range and four-body corrections.

  4. Searching for the Tetraneutron Resonance on the Lattice

    nucl-th 2026-01 unverdicted novelty 6.0 of 10

    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.

  5. Short-range production of three bottom mesons

    hep-ph 2025-11 unverdicted novelty 5.0 of 10

    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.

  6. Coulomb Corrections to Three-Nucleon Moments

    nucl-th 2026-05 unverdicted novelty 4.0 of 10

    Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element...

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