nLab
nuclear matrix model

Contents

Context

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)
leptons
chargedelectronmuontauon
neutralelectron neutrinomuon neutrinotau neutrino
bound states:
mesonslight mesons:
pion (udu d)
ρ-meson (udu d)
ω-meson (udu d)
f1-meson
a1-meson
strange-mesons:
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)
baryonsnucleons:
proton (uud)(u u d)
neutron (udd)(u d d)

(also: antiparticles)

effective particles

hadrons (bound states of the above quarks)

solitons

in grand unified theory

minimally extended supersymmetric standard model

superpartners

bosinos:

sfermions:

dark matter candidates

Exotica

auxiliary fields

Duality in string theory

Contents

Idea

The nuclear matrix model (Hashimoto-Iizuka-Yi 10, Hashimoto-Matsuo-Morita 19) is a matrix model for baryons/nucleons in nuclear physics.

The model proceeds from the Witten-Sakai-Sugimoto model for QCD realized on intersecting D-branes, where baryons are embodied by wrapped D4-branes (“Witten’s baryon vertex”) on flavour D8-branes (D4-D8 brane bound states).

(graphics from Sati-Schreiber 19c)

Thus, encoding the D-brane dynamics of these D4-branes in a matrix model along the lines of the BFSS matrix model/BMN matrix model (for D0-branes) and the IKKT matrix model (for D(-1)-branes) leads to a matrix model for baryons and hence, potentially, for nucleons.

matrix models for brane dynamics:

D-branematrix model
D0-braneBFSS matrix model,
BMN matrix model
D(-1)-braneIKKT matrix model
D4-branenuclear matrix model
M-branematrix model
D2-branemembrane matrix model

See also:

References

Formulation of the model:

Review:

Further development:

Computation of nuclear binding energies in the model:

Created on March 8, 2021 at 00:45:12. See the history of this page for a list of all contributions to it.