Nucleon-Nucleon Scattering with Coupled Nucleon-Delta Channels in Chiral Effective Field Theory

Abstract

In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled N$\Delta$-, $\Delta$N- and $\Delta \Delta$-channels. To solve the coupled channel scattering equation one needs as input the potentials for all combinations of these initial and final states. Up to next-to leading order these (transition) potentials arise from one-pion exchange, two-pion exchange and contact interactions. For the two-pion exchange we give analytic expressions for the spectral functions derived from all contributing one-loop diagrams. The forms of the contact potentials at leading and next-to-leading order are determined. We perform a fit of the low energy constants, that belong to the $NN\to NN$ contact potential and contribute up to next-to-leading order to $S$- and $P$-waves of NN scattering only. The influence of the $\Delta$-isobar dynamics entering through the coupled channels is studied in detail.

arXiv comment33 pages, 11 figures

References in corpus (24)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The two-nucleon system at next-to-next-to-next-to-leading order
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Aspects of chiral pion-nucleon physics
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Pion-nucleon scattering inside the Mandelstam triangle
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory
• Chiral $2\pi$-exchange NN-potentials: Two-loop contributions
• Chiral 2$\pi$-exchange NN-potentials: Relativistic $1/M^2$-Corrections
• A new way to perform partial wave decompositions of few-nucleon forces
• Scattering of decuplet baryons in chiral effective field theory
• Nucleon-nucleon interaction in a chiral SU(3) quark model revisited
• Three-Nucleon Forces

Cited by in corpus (1)

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