Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-09-05
Eur.Phys.J.A30:413-422,2006; Erratum-ibid.A32:121,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
10.1140/epja/i2006-10103-0 10.11
The $t$-channel contribution to the difference of electromagnetic polarizabilities of the nucleon, $(\alpha-\beta)^t$, can be quantitatively understood in terms of a $\sigma$-meson pole in the complex $t$-plane of the invariant scattering amplitude $A_1(s,t)$ with properties of the $\sigma$ meson as given by the quark-level Nambu--Jona-Lasinio model (NJL). Equivalently, this quantity may be understood in terms of a cut in the complex $t$-plane where the properties of the $\sigma$ meson are taken from the $\pi\pi -> \sigma -> \pi\pi$, $\gamma\gamma -> \sigma -> \pi\pi$ and $N\bar{N} -> \sigma -> \pi\pi$ reactions. This equivalence may be understood as a sum rule where the properties of the $\sigma$ meson as predicted by the NJL model are related to the $f_0(600)$ particle observed in the three reactions. In the following we describe details of the derivation of $(\alpha-\beta)^t$ making use of predictions of the quark-level NJL model for the $\sigma$-meson mass.
No associations
LandOfFree
Electromagnetic polarizabilities of the nucleon and properties of the $σ$-meson pole contribution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Electromagnetic polarizabilities of the nucleon and properties of the $σ$-meson pole contribution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electromagnetic polarizabilities of the nucleon and properties of the $σ$-meson pole contribution will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-554640