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Physics

Baryon

Pion

Particle physics

Order (exchange)

Economics

Nucleon

Perturbation theory (quantum mechanics)

Nuclear physics

Ab initio

Quantum electrodynamics

Quantum mechanics

Covariant transformation

Relativistic quantum chemistry

Chiral perturbation theory

Physical Review Letters

We construct a relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory. We show that a good description of the np phase shifts up to T_{lab}=200 MeV and even higher can be achieved with a χ[over ˜]^{2}/d.o.f. less than 1. Both the next-to-leading-order results and the next-to-next-to-leading-order results describe the phase shifts equally well up to T_{lab}=200 MeV, but for higher energies, the latter behaves better, showing satisfactory convergence. The relativistic chiral potential provides the most essential inputs for relativistic ab initio studies of nuclear structure and reactions, which has been in need for almost two decades.

Accurate Relativistic Chiral Nucleon-Nucleon Interaction up to Next-to-Next-to-Leading Order