nLab heavy flavor



Fields and quanta

fields and particles in particle physics

and in the standard model of particle physics:

force field gauge bosons

scalar bosons

matter field fermions (spinors, Dirac fields)

flavors of fundamental fermions in the
standard model of particle physics:
generation of fermions1st generation2nd generation3d generation
quarks (qq)
up-typeup quark (uu)charm quark (cc)top quark (tt)
down-typedown quark (dd)strange quark (ss)bottom quark (bb)
neutralelectron neutrinomuon neutrinotau neutrino
bound states:
mesonslight mesons:
pion (udu d)
ρ-meson (udu d)
ω-meson (udu d)
ϕ-meson (ss¯s \bar s),
kaon, K*-meson (usu s, dsd s)
eta-meson (uu+dd+ssu u + d d + s s)

charmed heavy mesons:
D-meson (uc u c, dcd c, scs c)
J/ψ-meson (cc¯c \bar c)
bottom heavy mesons:
B-meson (qbq b)
ϒ-meson (bb¯b \bar b)
proton (uud)(u u d)
neutron (udd)(u d d)

(also: antiparticles)

effective particles

hadrons (bound states of the above quarks)


in grand unified theory

minimally extended supersymmetric standard model




dark matter candidates


auxiliary fields



In the standard model of particle physics, the masses of the various flavors of quarks, and thus of the hadron bound states built from them, differ by orders of magnitude (“mass hierarchy”):

Since in the formulation of quantum hadrodynamics as chiral perturbation theory one needs to decide which quarks count as “approximately massless” and which count as “approximately of infinite mass” for the purpose of effective field theory, it is very common to group the quark species into “light” and “heavy”.

There are two versions of this grouping in use:

  1. In “2-flavor”-chiral perturbation theory with SU(2) chiral symmetry
  1. In “3-flavor”-chiral perturbation theory with SU(3) chiral symmetry

Either choice gives rise to a corresponding notion of light and heavy hadrons.

For mesons one has:

  1. In “2-flavor”-chiral perturbation theory with SU(2) chiral symmetry
  1. In “3-flavor”-chiral perturbation theory with SU(3) chiral symmetry

For baryons one has:




Skyrme hadrodynamics with heavy quarks/mesons

Inclusion of heavy flavors into the Skyrme model for quantum hadrodynamics:

Inclusion of strange quarks/kaons

Inclusion of strange quarks/kaons into the Skyrme model:


Inclusion of charm quarks/D-mesons

Inclusion of charm quarks/D-mesons into the Skyrme model:

Inclusion of bottom quarks/B-mesons

Inclusion of further heavy flavors beyond strange quark/kaons, namely charm quarks/D-mesons and bottom quarks/B-mesons, into the Skyrme model:

  • Mannque Rho, D. O. Riska, Norberto Scoccola, The energy levels of the heavy flavour baryons in the topological soliton model, Zeitschrift für Physik A Hadrons and Nuclei volume 341, pages 343–352 (1992) (doi:10.1007/BF01283544)

  • Arshad Momen, Joseph Schechter, Anand Subbaraman, Heavy Quark Solitons: Strangeness and Symmetry Breaking, Phys. Rev. D49:5970-5978, 1994 (arXiv:hep-ph/9401209)

  • Yongseok Oh, Byung-Yoon Park, Dong-Pil Min, Heavy Baryons as Skyrmion with 1/m Q1/m_Q Corrections, Phys. Rev. D49 (1994) 4649-4658 (arXiv:hep-ph/9402205)


Heavy flavor in holographic QCD

Discussion of heavy flavor in holographic QCD:

Last revised on October 20, 2020 at 10:39:40. See the history of this page for a list of all contributions to it.