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The Hypertriton in Effective Field Theory

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arxiv nucl-th/0110031 v2 pith:DD7CVKSV submitted 2001-10-11 nucl-th hep-ph

The Hypertriton in Effective Field Theory

classification nucl-th hep-ph
keywords hypertritonlambdalow-energyparametersscatteringbindingdoubleteffective
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Doublet Lambda d scattering and the hypertriton are studied in the framework of an effective field theory for large scattering lengths. As in the triton case, consistent renormalization requires a one-parameter three-body force at leading order whose renormalization group evolution is governed by a limit cycle. Constraining unknown parameters from symmetry considerations and the measured binding energy of the hypertriton, we calculate the low-energy phase shifts for doublet Lambda d scattering. For the low-energy parameters, we find a_{Lambda d}=(16.8^{+4.4}_{-2.4}) fm and r_{Lambda d}=(2.3 +/- 0.3) fm, where the errors are due to the uncertainty in the hypertriton binding energy. Since the hypertriton is extremely shallow, low-energy three-body observables in this channel are very insensitive to the exact values of the Lambda N low-energy parameters.

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Cited by 2 Pith papers

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

  1. From hyperon--nucleon interactions to deuteron--hyperon femtoscopy

    nucl-th 2026-07 conditional novelty 5.0

    Folded HAL-QCD potentials yield no dY bound states but a large dΛ scattering length and strong low-k correlation enhancement, with feed-down from Σ and Ξ clearly reshaping the observed dΛ signal.

  2. Wave-Function Femtometry: Hypertriton - The Ultimate Halo Nucleus

    nucl-ex 2026-04 unverdicted novelty 5.0

    Hypertriton production yield in LHC pp collisions, described by nuclear coalescence, confirms its halo structure with a Lambda separation of 9.54 fm from the deuteron core.