Properties of the ${\pi }^0$, $\eta$, ${\eta }^{\prime }$, $\sigma$, $f_0(980)$ and $a_0(980)$ mesons and their relevance for the polarizabilities of the nucleon

Abstract

The signs and values of the two-photon couplings $F_{M\gamma \gamma }$ of mesons $(M)$ and their couplings $g_{MNN}$ to the nucleon as entering into the $t$-channel parts of the difference of the electromagnetic polarizabilities $(\alpha -\beta )$ and the backward angle spin polarizabilities ${\gamma }_{\pi }$ are determined. The excellent agreement achieved with the experimental polarizabilities of the proton makes it possible to make reliable predictions for the neutron. The results obtained are ${\alpha }_n=13.4\pm 1.0$, ${\beta }_n=1.8\mp 1.0$ ($10^{-4}$ fm${}^3$), and ${\gamma }_{\pi }^{(n)}=57.6\pm 1.8$ ($10^{-4}$ fm${}^4$). New empirical information on the flavor wave functions of the $f_0(980)$ and the $a_0(980)$ meson is obtained.

References in corpus (11)

• A low-lying scalar meson nonet in a unitarized meson model
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• Polarizability of the Nucleon and Compton Scattering
• Investigation of a0-f0 mixing
• Ground-State Scalar $\bar{q}q$ Nonet: SU(3) Mass Splittings and Strong, Electromagnetic, and Weak Decay Rates
• Decays of sigma, kappa, a0(980) and fo(980)
• Constituent Quark Masses and the Electroweak Standard Model
• Electromagnetic polarizabilities of the nucleon and properties of the $\sigma$-meson pole contribution
• Electromagnetic polarizabilities and the excited states of the nucleon
• Scalar mesons and low-mass sigma: Does the $\sigma$ reveal the confinement singularity?

Cited by in corpus (11)

• The sigma -> gamma gamma Width from Nucleon Electromagnetic Polarizabilities
• Dispersion theory of nucleon Compton scattering and polarizabilities
• Polarizabilities of the nucleon and spin dependent photo-absorption
• Structure of scalar mesons and the Higgs sector of strong interaction
• Observation of the Higgs Boson of strong interaction via Compton scattering by the nucleon
• Structure of the nucleon and spin-polarizabilities
• Nambu's Nobel Prize, the $\sigma$ meson and the mass of visible matter
• Note on the magnetic moment of the nucleon
• Photoproduction of the scalar mesons $f_0(500)$ and $f_0(980)$ off the nucleon
• Obtaining sigma --> gamma gamma Width from Nucleon Polarizabilities
• Dispersion theory of nucleon polarizabilities and outlook on chiral effective field theory