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Nucleon-Nucleon Scattering from Effective Field Theory

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arxiv nucl-th/9605002 v3 pith:MGZESXSW submitted 1996-05-02 nucl-th hep-ph

classification nucl-thhep-ph
keywords expansioneffectivefieldscatteringtheoryadvocateamplitudeapplicability
verification ladder T0 review T1 audit T2 compute T3 formal

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We perform a nonperturbative calculation of the 1S0 NN scattering amplitude using an effective field theory (EFT) expansion. The expansion we advocate is a modification of what has been used previously; it is no a chiral expansion in powers of the pion mass. We use dimensional regularization throughout and the MS-bar subtraction scheme; our final result depends only on physical observables. We show that the EFT expansion of the quantity |p|cot delta(p) converges at momenta much greater than the scale that characterizes the derivative expansion of the EFT Lagrangian. Our conclusions are optimistic about the applicability of an EFT approach to the quantitative study of nuclear matter.

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Forward citations

Cited by 11 Pith papers

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

  1. Dimer Effective Field Theory

    nucl-th 2026-03 unverdicted novelty 7.0 of 10

    Incorporating dimer fields into the effective field theory resolves poles in the C-matrix from the angular momentum barrier, yielding cutoff-insensitive leading-order fits to nucleon-nucleon phase shifts up to the pio...

  2. Chiral Effective Field Theories for Strong and Weak Dynamics

    hep-ph 2025-01 conditional novelty 7.0 of 10

    The paper constructs complete and minimal relativistic operator bases for nucleon-nucleon, pion-nucleon-nucleon, and three-nucleon sectors up to p6, and a spurion-based leptonic sector up to p4, using Hilbert series a...

  3. Neutrinoless double beta decay with light sterile neutrinos: the contact terms

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    The short-range nuclear contact term in neutrinoless double beta decay depends on sterile neutrino mass more strongly than previously assumed, lengthening predicted half-lives by up to about a factor of six.

  4. Effective Range Expansion with the Left-Hand Cut: Higher Order Improvements

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Extended the generalized effective-range expansion, including the left-hand cut from one-particle exchange, to O(k^6) with a new relativistic version, validated against exact Yukawa-potential solutions of the Lippmann...

  5. Fermi-liquid view of viscosity in cold and dense nucleon matter

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    In a quasiparticle Fermi liquid with medium-dependent mass, imposing Landau matching makes the bulk viscosity manifestly non-negative and parametrically smaller than shear viscosity at low temperature, ζ/η ∝ (T/μ*)⁴.

  6. Systematic study of large-momentum distribution in nuclei with the operator product expansion

    nucl-th 2024-12 conditional novelty 6.0 of 10

    Using OPE matched to Pionless EFT, the authors reproduce the deuteron's high-momentum nucleon distribution from scattering-state inputs, validating the method against the AV18 potential.

  7. Transport coefficients of dense nucleon matter at low temperature

    nucl-th 2024-12 reject novelty 6.0 of 10

    The paper expresses the bulk and shear viscosities of cold dense nucleon matter through derivatives of the thermodynamic potential, and claims that the positivity of bulk viscosity imposes an independent stability con...

  8. $2\nu\beta\beta$ Spectrum in Chiral Effective Field Theory

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Chiral EFT corrections to the 2νββ electron spectrum from weak magnetism and pion exchange appear at next-to-leading order and must be included in searches for new physics.

  9. Quantum Resources and Wigner Symmetry in Nucleon-Nucleon Scattering from Effective Field Theory

    nucl-th 2026-06 unverdicted novelty 5.0 of 10

    Under Wigner's SU(4) symmetry the neutron-proton scattering amplitude generates no new quantum resources while same-nucleon channels do due to identical-particle constraints.

  10. Bootstrapping Two-Nucleon Effective Field Theories

    nucl-th 2026-05 unverdicted novelty 5.0 of 10

    Bootstrap consistency checks show that the NLO chiral EFT potential for the 1S0 two-nucleon wave remains valid over a significantly wider energy range than the LO version when compared to Granada phase shifts.

  11. Scrutiny of the new class of three-nucleon forces

    nucl-th 2025-12 conditional novelty 3.0 of 10

    After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard c...

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