$\Delta I=1$ axial-vector mixing and charge symmetry breaking

Abstract

Phenomenological Lagrangians that exhibit (broken) chiral symmetry as well as isospin violation suggest short-range charge symmetry breaking (CSB) nucleon-nucleon potentials with a $\mbox{\boldmath $σ$}_1 \!\cdot\!\mbox{\boldmath $σ$}_2$ structure. This structure could be realized by the mixing of axial-vector ($1^{+}$) mesons in a single-meson exchange picture. The Coleman-Glashow scheme for $\Delta I_z=1$ charge symmetry breaking applied to meson and baryon $SU(2)$ mass splittings suggests a universal scale. This scale can be extended to $\Delta I=1$ nonstrange CSB transitions $⟨a_1^{\circ }|H_{em}|f_1⟩$ of size $-0.005$ GeV${}^2$. The resulting nucleon-nucleon axial-vector meson exchange CSB potential then predicts $\Delta I=1$ effects which are small.

14 pages. To appear in Phys. Lett. B

References in corpus (6)

• Dynamical generation of the gauged SU(2) linear sigma model
• Phenomenological Aspects of Isospin Violation in the Nuclear Force
• Properties of the a1 Meson from Lattice QCD
• Nucleon Spin and the Mixing of Axial Vector Mesons
• Rho-Omega Mixing Off Shell and Charge Symmetry Breaking In the N-N Potential
• Charge-Symmetry-Breaking Potentials from Isospin-Violating Meson-Baryon Coupling Constants

Cited by in corpus (8)

• Effective Field Theory for Few-Nucleon Systems
• Effective Field Theory of Nuclear Forces
• Charge Symmetry Breaking and QCD
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Axial-Vector Emitting Weak Nonleptonic Deacys of ${\Omega }_c^0$ Baryon
• Possibility of ferromagnetic neutron matter