Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering

Abstract

Recently, a relativistic chiral nucleon-nucleon interaction is formulated up to leading order which provides a good description of the phase shifts of $J\le 1$ partial waves [Chin. Phys. C 42 (2018) 014103]. Nevertheless, a separable regulator function that is not manifestily covariant was used in solving the relativistic scattering equation. In the present work, we first propose a covariant and separable form factor to regularize the kernel potential and then apply it to study the simplest but most challenging ${}^1{S}_0$ channel which features several low-energy scales. In addition to being self-consistent, we show that the resulting relativistic potential can describe quite well the unique features of the ${}^1{S}_0$ channel at leading order, in particular the pole position of the virtual bound state and the zero amplitude at the scattering momentum $\sim 340$ MeV, indicating that the relativistic formulation might be more natural from the point of view of effective field theories.

8 pages, 4 figures, 1 table

References in corpus (27)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Hyperon-nucleon interactions - a chiral effective field theory approach
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Towards an ab initio covariant density functional for nuclear structure
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Short-range nuclear forces in singlet channels
• Scalar strangeness content of the nucleon and baryon sigma terms
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Deconstructing triplet nucleon-nucleon scattering
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Strangeness $S=-1$ hyperon-nucleon interactions: chiral effective field theory vs. lattice QCD
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• Lambda-nucleon scattering in baryon chiral perturbation theory
• NN scattering in higher derivative formulation of baryon chiral perturbation theory
• Two-Pion-Exchange contributions to the nucleon-nucleon interactions in covariant baryon chiral perturbation theory
• Strangeness $S=-3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field theory
• Pion-mass dependence of the nucleon-nucleon interaction
• ${\Lambda }_{c}N$ interaction in leading order covariant chiral effective field theory
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction

Cited by in corpus (11)

• Nuclear effective field theory: status and perspectives
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Constructing chiral effective field theory around unnatural leading-order interactions
• Virtual states in the coupled-channel problems with an improved complex scaling method
• Impact of nuclear structure on the CME background in ${}_{44}^{96}$Ru + ${}_{44}^{96}$Ru and ${}_{40}^{96}$Zr + ${}_{40}^{96}$Zr collisions at $\sqrt{s_{NN}}$ = 7.7 $\sim$ 200 GeV from a multiphase transport model
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory
• Renormalization of proton-proton fusion in chiral effective field theory
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Peripheral nucleon-nucleon scattering at next-to-next-to-leading order in SU(3) heavy baryon chiral perturbation theory
• Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory