Universality in the triton charge form factor

Abstract

We consider the three-nucleon system within an effective theory with contact interactions at leading order in the large scattering length. We calculate the charge form factor of the triton at low momentum transfer and extract the triton charge radius. At this order, no two-body currents contribute and the calculation can be performed in the impulse approximation. We also comment on the power counting for higher orders. The requirement of a three-body force for renormalization of the three-nucleon system explains the previously observed correlation between the triton binding energy and charge radius for different model potentials.

11 pages, 2 eps figures, revtex4, version to appear in Nucl. Phys. A

References in corpus (9)

• The Four-Boson System with Short-Range Interactions
• On the correlation between the binding energies of the triton and the alpha-particle
• Electron and Photon Scattering on Three-Nucleon Bound States
• Improved Convergence in the Three-Nucleon System at Very Low Energies
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• Updated dispersion-theoretical analysis of the nucleon electromagnetic form factors
• $Nd\to {}^{3}H\gamma$ with Effective Field Theory
• Universality in few-body systems with large scattering length
• Few-body physics in effective field theory

Cited by in corpus (22)

• Modern Theory of Nuclear Forces
• Universality in Few-body Systems with Large Scattering Length
• Nuclear effective field theory: status and perspectives
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Efimov States in Nuclear and Particle Physics
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• Low-Energy Universality in Atomic and Nuclear Physics
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• Charge form factors of two-neutron halo nuclei in halo EFT
• The Triton Charge Radius to Next-to-next-to-leading order in Pionless Effective Field Theory
• Efimov physics from a renormalization group perspective
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Triton Electric Form Factor at Low-Energies
• Constraining the neutron-neutron scattering length with \eftnopi
• Three-body systems in pionless effective field theory
• Electric dipole moments of three-nucleon systems in the pionless effective field theory
• Universality and Leading Corrections in Few-Body Systems
• Universality in Few-Body Systems
• An Effective Theory for the Four-Body System with Short-Range Interactions
• Effective Range Corrections in Few-Body Systems with large Scattering Length