nLab hadron current

Contents

matter field fermions (spinors, Dirac fields)

flavors of fundamental fermions in the standard model of particle physics:
generation of fermions	1st generation	2nd generation	3d generation
quarks ( $q$ )
up-type	up quark ( $u$ )	charm quark ( $c$ )	top quark ( $t$ )
down-type	down quark ( $d$ )	strange quark ( $s$ )	bottom quark ( $b$ )
leptons
charged	electron	muon	tauon
neutral	electron neutrino	muon neutrino	tau neutrino

bound states:
mesons	light mesons: pion ( $u d$ ) ρ-meson ( $u d$ ) ω-meson ( $u d$ ) f1-meson a1-meson	strange-mesons: ϕ-meson ( $s \bar s$ ), kaon, K-meson ( $u s$ , $d s$ ) eta-meson ( $u u + d d + s s$ ) charmed heavy mesons*: D-meson ( $u c$ , $d c$ , $s c$ ) J/ψ-meson ( $c \bar c$ )	bottom heavy mesons: B-meson ( $q b$ ) ϒ-meson ( $b \bar b$ )
baryons	nucleons: proton $(u u d)$ neutron $(u d d)$

hadrons (bound states of the above quarks)

bosinos:

dark matter candidates

Exotica

auxiliary fields

Idea

In quantum hadrodynamics, the hadron current is the current of hadrons.

In models with fundamental quark fields $q$ (quantum chromodynamics or quark-meson coupling models) the (electromagnetic) hadron current is given by

J^\mu \;=\; \overline{q} Q \gamma^\mu q

where $Q$ denotes the quark charge matrix (e.g. Piller-Weise 90).

(This is in contrast, for instance, to the lepton current, given by the analogous expression, but with leptons instead of quarks.)

General:

Oleg Boyarkin, Section 5.2 of: Advanced Particle Physics: The Standard Model and Beyond Volume II, CRC press, 2011

G. Piller, Wolfram Weise, Vector meson dominance: Selected topics 1990 (spire310958, pdf)

Masashi Wakamatsu, On the electromagnetic hadron current derived from the gauged Wess-Zumino-Witten action, (arXiv:1108.1236, spire:922302)

Last revised on May 2, 2020 at 09:16:24. See the history of this page for a list of all contributions to it.