Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange

Abstract

We evaluate the deuteron charge, quadrupole, and magnetic form factors using wave functions obtained from chiral effective theory ($\chi$ET) when the potential includes one-pion exchange, chiral two-pion exchange, and genuine contact interactions. We study the manner in which the results for form factors behave as the regulator is removed from the $\chi$ET calculation, and compare co-ordinate- and momentum-space approaches. We show that, for both the LO and NNLO chiral potential, results obtained by imposing boundary conditions in co-ordinate space at $r=0$ are equivalent to the $\Lambda \to \infty$ limit of momentum-space calculations. The regulator-independent predictions for deuteron form factors that result from taking the $\Lambda \to \infty$ limit using the LO $\chi$ET potential are in reasonable agreement with data up to momentum transfers of order 600 MeV, provided that phenomenological information for nucleon structure is employed. In this range the use of the NNLO $\chi$ET potential results in only small changes to the LO predictions, and it improves the description of the zero of the charge form factor.

References in corpus (39)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Effective Field Theory for Few-Nucleon Systems
• The two-nucleon system at next-to-next-to-next-to-leading order
• The Two-Nucleon Potential from Chiral Lagrangians
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Three-Body Interactions Among Nucleons and Pions
• Effective Field Theory for Short-Range Forces
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Renormalization of One-Pion Exchange and Power Counting
• Aspects of chiral pion-nucleon physics
• Dispersion analysis of the nucleon form factors including meson continua
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Electromagnetic structure of the deuteron
• Pion-nucleon scattering inside the Mandelstam triangle
• The deuteron: structure and form factors
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Chiral two-pion exchange and proton-proton partial-wave analysis
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Phenomenology of the Deuteron Electromagnetic Form Factors
• Chiral perturbation theory
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Measurement of Tensor Polarization in Elastic Electron-Deuteron Scattering at Large Momentum Transfer
• Elastic Electron Scattering from Light Nuclei
• Neutron charge form factor at large $q^2$
• Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
• Renormalization of the Deuteron with One Pion Exchange
• Measurement of T20 in Elastic Electron-Deuteron Scattering
• Deconstructing triplet nucleon-nucleon scattering
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Equivalence of Nonstatic Two-Pion-Exchange Nucleon-Nucleon Potentials
• Elastic electron-deuteron scattering in chiral effective field theory
• Higher-order calculations of electron-deuteron scattering in nuclear effective theory
• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Intrinsic operators for the electromagnetic nuclear current
• Can one extract the pi-neutron scattering length from pi-deuteron scattering?
• Deuteron Matrix Elements in Chiral Effective Theory at Leading Order

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• Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory
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• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Phenomenological Lagrangian approach to the electromagnetic deuteron form factors
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• Towards a high precision calculation for the pion-nucleus scattering lengths
• The magnetic form factor of the deuteron in chiral effective field theory
• Nuclear forces from chiral EFT: The unfinished business
• Deuteron electromagnetic form factors in a renormalizable formulation of chiral effective field theory
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Two-photon exchange effect on deuteron electromagnetic form factors
• Renormalization of chiral two-pion exchange NN interactions with Delta-excitations: Central Phases and the Deuteron
• Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves
• Renormalization of chiral two pion exchange NN interactions with delta excitations: correlations in the partial wave expansion
• Quantum Monte Carlo calculations of magnetic form factors in light nuclei
• Estiamte of the two-photon exchange effect on deuteron electromagnetic form factors
• Perturbative Calculations of Deuteron Form Factors
• Renormalization of the Off-shell chiral two-pion exchange NN interactions