Parity violation in proton-proton scattering from chiral effective field theory

Abstract

We present a calculation of the parity-violating longitudinal asymmetry in proton-proton scattering. The calculation is performed in the framework of chiral effective field theory which is applied systematically to both the parity-conserving and parity-violating interactions. The asymmetry is calculated up to next-to-leading order in the parity-odd nucleon-nucleon potential. At this order the asymmetry depends on two parity-violating low-energy constants: the weak pion-nucleon coupling constant $h_{\pi }$ and one four-nucleon contact coupling. By comparison with the existing data, we obtain a rather large range for $h_{\pi }=(1.1\pm 2)\cdot 10^{-6}$. This range is consistent with theoretical estimations and experimental limits, but more data are needed to pin down a better constrained value. We conclude that an additional measurement of the asymmetry around 125 MeV lab energy would be beneficial to achieve this goal.

Version to appear in Eur. Phys. J. A

References in corpus (7)

• Chiral effective field theory and nuclear forces
• Chiral perturbation theory
• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• On a redundancy in the parity-violating 2-nucleon contact Lagrangian
• Parity-Violating Observables of Two-Nucleon Systems in Effective Field Theory
• The Theory of Parity Violation in Few-Nucleon Systems
• Parity-violating two-pion exchange nucleon-nucleon interaction

Cited by in corpus (19)

• A renormalized approach to neutrinoless double-beta decay
• Radiative bound-state-formation cross-sections for dark matter interacting via a Yukawa potential
• Towards grounding nuclear physics in QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• First Observation of $P$-odd $\gamma$ Asymmetry in Polarized Neutron Capture on Hydrogen
• Violations of discrete space-time symmetries in chiral effective field theory
• Parity- and time-reversal-violating nuclear forces
• The long and winding road from chiral effective Lagrangians to nuclear structure
• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
• A study of the parity-odd nucleon-nucleon potential
• Parity violation in neutron capture on the proton: determining the weak pion-nucleon coupling
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Experimental Upper Bound and Theoretical Expectations for Parity-Violating Neutron Spin Rotation in 4He
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian
• Nuclear Reactions at Intermediate Energies
• $\Delta S=0$ Hadronic Parity Violation in Next-to-Leading Order QCD: Anomalous Dimension Matrices and Their Implications