Baryons

n
p
Σ
 
Σ0
 
Σ+
 
Ξ
 
Ξ0
 
Σ0
c
Σ+
c
Σ++
c
Ξ0
c
Ξ+
c
Ω0
c
Ξ+
cc
Ξ++
cc
Ω+
cc
Σ
b
Σ0
b
Σ+
b
Ξ
b
Ξ0
b
Ω
b
Ξ
bb
Ξ0
bb
Ω
bb
Ξ0
cb
Ξ+
cb
Ω0
cb
Ω+
ccb
Ω0
cbb
spin-1/2
baryons
more
spin-1/2
baryons
spin-3/2
baryons
quarks
in
baryons
spin-1/2
anti-
baryons
more
spin-1/2
anti-
baryons
spin-3/2
anti-
baryons
anti-
quarks
in anti-
baryons
mass
spin
baryon number
charge
isospin
strangeness
charm
bottomness
topness
what's the pattern?
why a triangle?
why a tetrahedron?
why a hypertetrahedron?
what's missing?
what's the significance of spin?
spin-1/2 baryons
each of the baryons on this page is made up of three spin-1/2 quarks whose spins combine to give a total angular momentum of 1/2; at the top of the page are the most common baryons, the neutron and the proton, which combine to form the nuclei of atoms

Notes

This representation of 150 baryons and antibaryons shows neutrons, protons and some of their weirder cousins

Baryons are particles made up of three quarks (or, in the case of antibaryons, three antiquarks). The most common baryons are the neutron and the proton, which combine to form the nuclei of atoms.

The baryons and antibaryons shown represent every possible combination of down, up, strange, charm and bottom quarks and antiquarks. Baryons and antibaryons that contain top quarks and antiquarks are not shown, because these have such high mass that it is difficult to create them in particle accelerators.

Every inch of this visualization is active. Move your mouse over a baryon or antibaryon to show its name, properties and further information. Move your mouse over a page tab to show more baryons and antibaryons, or which quarks and antiquarks comprise each one. Or move your mouse over a property to show the value of that property for each of the baryons and antibaryons. Click on a control to hold it down, then click elsewhere to release it.

Comments

Ian ⋅ 8 October 2015

Are the strangeness values correct?

Mark Jeffery ⋅ 30 October 2015

Thanks, Ian. You're right, the strangeness values were negated, and the bottomness values, too. According to the Wikipedia article on the Gell-Mann-Nishijima formula: "By convention, the flavor quantum numbers (strangeness, charm, bottomness, and topness) carry the same sign as the electric charge of the particle." When I first created this page, the data on Wikipedia's List of Baryons wasn't following this convention, but now it is. I've updated this page accordingly.

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More

This is one of a series of visualizations of what things are made of, from elementary particles to organic molecules…

Elementary Particles

Mesons

Baryons – this page

Nuclides

Atoms

Inorganic Molecules

…check back soon for the next in the series

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More Universe made thinkable

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Text

A text summary of this presentation is shown below for easy reference

Particles

up quark   

charm quark   

top quark   

up antiquark   

charm antiquark   

top antiquark   

down quark   

strange quark   

bottom quark   

down antiquark   

strange antiquark   

bottom antiquark   

neutron   n

neutrons are the uncharged particles in the nuclei of atoms; because they are uncharged, the number of neutrons does not affect the number of electrons bound to the nucleus, so does not change the chemical properties of the atom; it does, however, affect the mass of the atom slightly; a neutron consists of an up quark and two down quarks (u, d and d)

proton   p

protons are the positively-charged particles in the nuclei of all atoms; their positive charge binds an equal number of negatively-charged electrons to the nucleus, giving the atom its chemical properties; a proton consists of two up quarks and a down quark (u, u and d)

Sigma   Σ
 

this Sigma baryon consists of two down quarks and a strange quark (d, d and s)

Sigma   Σ0
 

this Sigma baryon consists of an up quark, a down quark and a strange quark (u, d and s)

Sigma   Σ+
 

this Sigma baryon consists of two up quarks and a strange quark (u, u and s)

Xi   Ξ
 

this Xi baryon consists of a down quark and two strange quarks (d, s and s)

Xi   Ξ0
 

this Xi baryon consists of an up quark and two strange quarks (u, s and s)

charmed Sigma   Σ0
c

this charmed Sigma baryon consists of two down quarks and a charm quark (d, d and c)

charmed Sigma   Σ+
c

this charmed Sigma baryon consists of an up quark, a down quark and a charm quark (u, d and c)

charmed Sigma   Σ++
c

this charmed Sigma baryon consists of two up quarks and a charm quark (u, u and c)

charmed Xi   Ξ0
c

this charmed Xi baryon consists of a down quark, a strange quark and a charm quark (d, s and c)

charmed Xi   Ξ+
c

this charmed Xi baryon consists of an up quark, a strange quark and a charm quark (u, s and c)

charmed Omega   Ω0
c

this charmed Omega baryon consists of two strange quarks and a charm quark (s, s and c)

double charmed Xi   Ξ+
cc

this double charmed Xi baryon consists of a down quark and two charm quarks (d, c and c)

double charmed Xi   Ξ++
cc

this double charmed Xi baryon consists of an up quark and two charm quarks (u, c and c)

double charmed Omega   Ω+
cc

this double charmed Omega baryon consists of a strange quark and two charm quarks (s, c and c)

bottom Sigma   Σ
b

this bottom Sigma baryon consists of two down quarks and a bottom quark (d, d and b)

bottom Sigma   Σ0
b

this bottom Sigma baryon consists of an up quark, a down quark and a bottom quark (u, d and b)

bottom Sigma   Σ+
b

this bottom Sigma baryon consists of two up quarks and a bottom quark (u, u and b)

bottom Xi   Ξ
b

this bottom Xi baryon consists of a down quark, a strange quark and a bottom quark (d, s and b)

bottom Xi   Ξ0
b

this bottom Xi baryon consists of an up quark, a strange quark and a bottom quark (u, s and b)

bottom Omega   Ω
b

this bottom Omega baryon consists of two strange quarks and a bottom quark (s, s and b)

double bottom Xi   Ξ
bb

this double bottom Xi baryon consists of a down quark and two bottom quarks (d, b and b)

double bottom Xi   Ξ0
bb

this double bottom Xi baryon consists of an up quark and two bottom quarks (u, b and b)

double bottom Omega   Ω
bb

this double bottom Omega baryon consists of a strange quark and two bottom quarks (s, b and b)

charmed bottom Xi   Ξ0
cb

this charmed bottom Xi baryon consists of a down quark, a charm quark and a bottom quark (d, c and b)

charmed bottom Xi   Ξ+
cb

this charmed bottom Xi baryon consists of an up quark, a charm quark and a bottom quark (u, c and b)

charmed bottom Omega   Ω0
cb

this charmed bottom Omega baryon consists of a strange quark, a charm quark and a bottom quark (s, c and b)

double charmed bottom Omega   Ω+
ccb

this double charmed bottom Omega baryon consists of two charm quarks and a bottom quark (c, c and b)

charmed double bottom Omega   Ω0
cbb

this charmed double bottom Omega baryon consists of a charm quark and two bottom quarks (c, b and b)

Lambda   Λ0
 

this Lambda baryon consists of an up quark, a down quark and a strange quark (u, d and s)

charmed Lambda   Λ+
c

this charmed Lambda baryon consists of an up quark, a down quark and a charm quark (u, d and c)

charmed Xi prime   Ξ0
c

this charmed Xi prime baryon consists of a down quark, a strange quark and a charm quark (d, s and c)

charmed Xi prime   Ξ+
c

this charmed Xi prime baryon consists of an up quark, a strange quark and a charm quark (u, s and c)

bottom Lambda   Λ0
b

this bottom Lambda baryon consists of an up quark, a down quark and a bottom quark (u, d and b)

bottom Xi prime   Ξ
b

this bottom Xi prime baryon consists of a down quark, a strange quark and a bottom quark (d, s and b)

bottom Xi prime   Ξ0
b

this bottom Xi prime baryon consists of an up quark, a strange quark and a bottom quark (u, s and b)

charmed bottom Xi prime   Ξ0
cb

this charmed bottom Xi prime baryon consists of a down quark, a charm quark and a bottom quark (d, c and b)

charmed bottom Xi prime   Ξ+
cb

this charmed bottom Xi prime baryon consists of an up quark, a charm quark and a bottom quark (u, c and b)

charmed bottom Omega prime   Ω0
cb

this charmed bottom Omega prime baryon consists of a strange quark, a charm quark and a bottom quark (s, c and b)

Delta   Δ
 

this Delta baryon consists of three down quarks (d, d and d)

Delta   Δ0
 

this Delta baryon consists of an up quark and two down quarks (u, d and d)

Delta   Δ+
 

this Delta baryon consists of two up quarks and a down quark (u, u and d)

Delta   Δ++
 

this Delta baryon consists of three up quarks (u, u and u)

Sigma   Σ
 

this Sigma baryon consists of two down quarks and a strange quark (d, d and s)

Sigma   Σ0
 

this Sigma baryon consists of an up quark, a down quark and a strange quark (u, d and s)

Sigma   Σ+
 

this Sigma baryon consists of two up quarks and a strange quark (u, u and s)

Xi   Ξ
 

this Xi baryon consists of a down quark and two strange quarks (d, s and s)

Xi   Ξ0
 

this Xi baryon consists of an up quark and two strange quarks (u, s and s)

Omega   Ω
 

this Omega baryon consists of three strange quarks (s, s and s)

charmed Sigma   Σ0
c

this charmed Sigma baryon consists of two down quarks and a charm quark (d, d and c)

charmed Sigma   Σ+
c

this charmed Sigma baryon consists of an up quark, a down quark and a charm quark (u, d and c)

charmed Sigma   Σ++
c

this charmed Sigma baryon consists of two up quarks and a charm quark (u, u and c)

charmed Xi   Ξ0
c

this charmed Xi baryon consists of a down quark, a strange quark and a charm quark (d, s and c)

charmed Xi   Ξ+
c

this charmed Xi baryon consists of an up quark, a strange quark and a charm quark (u, s and c)

charmed Omega   Ω0
c

this charmed Omega baryon consists of two strange quarks and a charm quark (s, s and c)

double charmed Xi   Ξ+
cc

this double charmed Xi baryon consists of a down quark and two charm quarks (d, c and c)

double charmed Xi   Ξ++
cc

this double charmed Xi baryon consists of an up quark and two charm quarks (u, c and c)

double charmed Omega   Ω+
cc

this double charmed Omega baryon consists of a strange quark and two charm quarks (s, c and c)

triple charmed Omega   Ω++
ccc

this triple charmed Omega baryon consists of three charm quarks (c, c and c)

bottom Sigma   Σ
b

this bottom Sigma baryon consists of two down quarks and a bottom quark (d, d and b)

bottom Sigma   Σ0
b

this bottom Sigma baryon consists of an up quark, a down quark and a bottom quark (u, d and b)

bottom Sigma   Σ+
b

this bottom Sigma baryon consists of two up quarks and a bottom quark (u, u and b)

bottom Xi   Ξ
b

this bottom Xi baryon consists of a down quark, a strange quark and a bottom quark (d, s and b)

bottom Xi   Ξ0
b

this bottom Xi baryon consists of an up quark, a strange quark and a bottom quark (u, s and b)

bottom Omega   Ω
b

this bottom Omega baryon consists of two strange quarks and a bottom quark (s, s and b)

double bottom Xi   Ξ
bb

this double bottom Xi baryon consists of a down quark and two bottom quarks (d, b and b)

double bottom Xi   Ξ0
bb

this double bottom Xi baryon consists of an up quark and two bottom quarks (u, b and b)

double bottom Omega   Ω
bb

this double bottom Omega baryon consists of a strange quark and two bottom quarks (s, b and b)

triple bottom Omega   Ω
bbb

this triple bottom Omega baryon consists of three bottom quarks (b, b and b)

charmed bottom Xi   Ξ0
cb

this charmed bottom Xi baryon consists of a down quark, a charm quark and a bottom quark (d, c and b)

charmed bottom Xi   Ξ+
cb

this charmed bottom Xi baryon consists of an up quark, a charm quark and a bottom quark (u, c and b)

charmed bottom Omega   Ω0
cb

this charmed bottom Omega baryon consists of a strange quark, a charm quark and a bottom quark (s, c and b)

double charmed bottom Omega   Ω+
ccb

this double charmed bottom Omega baryon consists of two charm quarks and a bottom quark (c, c and b)

charmed double bottom Omega   Ω0
cbb

this charmed double bottom Omega baryon consists of a charm quark and two bottom quarks (c, b and b)

anti-neutron   n

neutrons are the uncharged particles in the nuclei of atoms; because they are uncharged, the number of neutrons does not affect the number of electrons bound to the nucleus, so does not change the chemical properties of the atom; it does, however, affect the mass of the atom slightly; an anti-neutron consists of an up antiquark and two down antiquarks (u, d and d)

anti-proton   p

protons are the positively-charged particles in the nuclei of all atoms; their positive charge binds an equal number of negatively-charged electrons to the nucleus, giving the atom its chemical properties; an anti-proton consists of two up antiquarks and a down antiquark (u, u and d)

anti-Sigma   Σ+
 

this anti-Sigma baryon consists of two down antiquarks and a strange antiquark (d, d and s)

anti-Sigma   Σ0
 

this anti-Sigma baryon consists of an up antiquark, a down antiquark and a strange antiquark (u, d and s)

anti-Sigma   Σ
 

this anti-Sigma baryon consists of two up antiquarks and a strange antiquark (u, u and s)

anti-Xi   Ξ+
 

this anti-Xi baryon consists of a down antiquark and two strange antiquarks (d, s and s)

anti-Xi   Ξ0
 

this anti-Xi baryon consists of an up antiquark and two strange antiquarks (u, s and s)

charmed anti-Sigma   Σ0
c

this charmed anti-Sigma baryon consists of two down antiquarks and a charm antiquark (d, d and c)

charmed anti-Sigma   Σ
c

this charmed anti-Sigma baryon consists of an up antiquark, a down antiquark and a charm antiquark (u, d and c)

charmed anti-Sigma   Σ−−
c

this charmed anti-Sigma baryon consists of two up antiquarks and a charm antiquark (u, u and c)

charmed anti-Xi   Ξ0
c

this charmed anti-Xi baryon consists of a down antiquark, a strange antiquark and a charm antiquark (d, s and c)

charmed anti-Xi   Ξ
c

this charmed anti-Xi baryon consists of an up antiquark, a strange antiquark and a charm antiquark (u, s and c)

charmed anti-Omega   Ω0
c

this charmed anti-Omega baryon consists of two strange antiquarks and a charm antiquark (s, s and c)

double charmed anti-Xi   Ξ
cc

this double charmed anti-Xi baryon consists of a down antiquark and two charm antiquarks (d, c and c)

double charmed anti-Xi   Ξ−−
cc

this double charmed anti-Xi baryon consists of an up antiquark and two charm antiquarks (u, c and c)

double charmed anti-Omega   Ω
cc

this double charmed anti-Omega baryon consists of a strange antiquark and two charm antiquarks (s, c and c)

bottom anti-Sigma   Σ+
b

this bottom anti-Sigma baryon consists of two down antiquarks and a bottom antiquark (d, d and b)

bottom anti-Sigma   Σ0
b

this bottom anti-Sigma baryon consists of an up antiquark, a down antiquark and a bottom antiquark (u, d and b)

bottom anti-Sigma   Σ
b

this bottom anti-Sigma baryon consists of two up antiquarks and a bottom antiquark (u, u and b)

bottom anti-Xi   Ξ+
b

this bottom anti-Xi baryon consists of a down antiquark, a strange antiquark and a bottom antiquark (d, s and b)

bottom anti-Xi   Ξ0
b

this bottom anti-Xi baryon consists of an up antiquark, a strange antiquark and a bottom antiquark (u, s and b)

bottom anti-Omega   Ω+
b

this bottom anti-Omega baryon consists of two strange antiquarks and a bottom antiquark (s, s and b)

double bottom anti-Xi   Ξ+
bb

this double bottom anti-Xi baryon consists of a down antiquark and two bottom antiquarks (d, b and b)

double bottom anti-Xi   Ξ0
bb

this double bottom anti-Xi baryon consists of an up antiquark and two bottom antiquarks (u, b and b)

double bottom anti-Omega   Ω+
bb

this double bottom anti-Omega baryon consists of a strange antiquark and two bottom antiquarks (s, b and b)

charmed bottom anti-Xi   Ξ0
cb

this charmed bottom anti-Xi baryon consists of a down antiquark, a charm antiquark and a bottom antiquark (d, c and b)

charmed bottom anti-Xi   Ξ
cb

this charmed bottom anti-Xi baryon consists of an up antiquark, a charm antiquark and a bottom antiquark (u, c and b)

charmed bottom anti-Omega   Ω0
cb

this charmed bottom anti-Omega baryon consists of a strange antiquark, a charm antiquark and a bottom antiquark (s, c and b)

double charmed bottom anti-Omega   Ω
ccb

this double charmed bottom anti-Omega baryon consists of two charm antiquarks and a bottom antiquark (c, c and b)

charmed double bottom anti-Omega   Ω0
cbb

this charmed double bottom anti-Omega baryon consists of a charm antiquark and two bottom antiquarks (c, b and b)

anti-Lambda   Λ0
 

this anti-Lambda baryon consists of an up antiquark, a down antiquark and a strange antiquark (u, d and s)

charmed anti-Lambda   Λ
c

this charmed anti-Lambda baryon consists of an up antiquark, a down antiquark and a charm antiquark (u, d and c)

charmed anti-Xi prime   Ξ0
c

this charmed anti-Xi prime baryon consists of a down antiquark, a strange antiquark and a charm antiquark (d, s and c)

charmed anti-Xi prime   Ξ
c

this charmed anti-Xi prime baryon consists of an up antiquark, a strange antiquark and a charm antiquark (u, s and c)

bottom anti-Lambda   Λ0
b

this bottom anti-Lambda baryon consists of an up antiquark, a down antiquark and a bottom antiquark (u, d and b)

bottom anti-Xi prime   Ξ+
b

this bottom anti-Xi prime baryon consists of a down antiquark, a strange antiquark and a bottom antiquark (d, s and b)

bottom anti-Xi prime   Ξ0
b

this bottom anti-Xi prime baryon consists of an up antiquark, a strange antiquark and a bottom antiquark (u, s and b)

charmed bottom anti-Xi prime   Ξ0
cb

this charmed bottom anti-Xi prime baryon consists of a down antiquark, a charm antiquark and a bottom antiquark (d, c and b)

charmed bottom anti-Xi prime   Ξ
cb

this charmed bottom anti-Xi prime baryon consists of an up antiquark, a charm antiquark and a bottom antiquark (u, c and b)

charmed bottom anti-Omega prime   Ω0
cb

this charmed bottom anti-Omega prime baryon consists of a strange antiquark, a charm antiquark and a bottom antiquark (s, c and b)

anti-Delta   Δ+
 

this anti-Delta baryon consists of three down antiquarks (d, d and d)

anti-Delta   Δ0
 

this anti-Delta baryon consists of an up antiquark and two down antiquarks (u, d and d)

anti-Delta   Δ
 

this anti-Delta baryon consists of two up antiquarks and a down antiquark (u, u and d)

anti-Delta   Δ−−
 

this anti-Delta baryon consists of three up antiquarks (u, u and u)

anti-Sigma   Σ+
 

this anti-Sigma baryon consists of two down antiquarks and a strange antiquark (d, d and s)

anti-Sigma   Σ0
 

this anti-Sigma baryon consists of an up antiquark, a down antiquark and a strange antiquark (u, d and s)

anti-Sigma   Σ
 

this anti-Sigma baryon consists of two up antiquarks and a strange antiquark (u, u and s)

anti-Xi   Ξ+
 

this anti-Xi baryon consists of a down antiquark and two strange antiquarks (d, s and s)

anti-Xi   Ξ0
 

this anti-Xi baryon consists of an up antiquark and two strange antiquarks (u, s and s)

anti-Omega   Ω+
 

this anti-Omega baryon consists of three strange antiquarks (s, s and s)

charmed anti-Sigma   Σ0
c

this charmed anti-Sigma baryon consists of two down antiquarks and a charm antiquark (d, d and c)

charmed anti-Sigma   Σ
c

this charmed anti-Sigma baryon consists of an up antiquark, a down antiquark and a charm antiquark (u, d and c)

charmed anti-Sigma   Σ−−
c

this charmed anti-Sigma baryon consists of two up antiquarks and a charm antiquark (u, u and c)

charmed anti-Xi   Ξ0
c

this charmed anti-Xi baryon consists of a down antiquark, a strange antiquark and a charm antiquark (d, s and c)

charmed anti-Xi   Ξ
c

this charmed anti-Xi baryon consists of an up antiquark, a strange antiquark and a charm antiquark (u, s and c)

charmed anti-Omega   Ω0
c

this charmed anti-Omega baryon consists of two strange antiquarks and a charm antiquark (s, s and c)

double charmed anti-Xi   Ξ
cc

this double charmed anti-Xi baryon consists of a down antiquark and two charm antiquarks (d, c and c)

double charmed anti-Xi   Ξ−−
cc

this double charmed anti-Xi baryon consists of an up antiquark and two charm antiquarks (u, c and c)

double charmed anti-Omega   Ω
cc

this double charmed anti-Omega baryon consists of a strange antiquark and two charm antiquarks (s, c and c)

triple charmed anti-Omega   Ω−−
ccc

this triple charmed anti-Omega baryon consists of three charm antiquarks (c, c and c)

bottom anti-Sigma   Σ+
b

this bottom anti-Sigma baryon consists of two down antiquarks and a bottom antiquark (d, d and b)

bottom anti-Sigma   Σ0
b

this bottom anti-Sigma baryon consists of an up antiquark, a down antiquark and a bottom antiquark (u, d and b)

bottom anti-Sigma   Σ
b

this bottom anti-Sigma baryon consists of two up antiquarks and a bottom antiquark (u, u and b)

bottom anti-Xi   Ξ+
b

this bottom anti-Xi baryon consists of a down antiquark, a strange antiquark and a bottom antiquark (d, s and b)

bottom anti-Xi   Ξ0
b

this bottom anti-Xi baryon consists of an up antiquark, a strange antiquark and a bottom antiquark (u, s and b)

bottom anti-Omega   Ω+
b

this bottom anti-Omega baryon consists of two strange antiquarks and a bottom antiquark (s, s and b)

double bottom anti-Xi   Ξ+
bb

this double bottom anti-Xi baryon consists of a down antiquark and two bottom antiquarks (d, b and b)

double bottom anti-Xi   Ξ0
bb

this double bottom anti-Xi baryon consists of an up antiquark and two bottom antiquarks (u, b and b)

double bottom anti-Omega   Ω+
bb

this double bottom anti-Omega baryon consists of a strange antiquark and two bottom antiquarks (s, b and b)

triple bottom anti-Omega   Ω+
bbb

this triple bottom anti-Omega baryon consists of three bottom antiquarks (b, b and b)

charmed bottom anti-Xi   Ξ0
cb

this charmed bottom anti-Xi baryon consists of a down antiquark, a charm antiquark and a bottom antiquark (d, c and b)

charmed bottom anti-Xi   Ξ
cb

this charmed bottom anti-Xi baryon consists of an up antiquark, a charm antiquark and a bottom antiquark (u, c and b)

charmed bottom anti-Omega   Ω0
cb

this charmed bottom anti-Omega baryon consists of a strange antiquark, a charm antiquark and a bottom antiquark (s, c and b)

double charmed bottom anti-Omega   Ω
ccb

this double charmed bottom anti-Omega baryon consists of two charm antiquarks and a bottom antiquark (c, c and b)

charmed double bottom anti-Omega   Ω0
cbb

this charmed double bottom anti-Omega baryon consists of a charm antiquark and two bottom antiquarks (c, b and b)

Information

what's the pattern?

the baryons are arranged in a 2-dimensional representation of a 4-dimensional tetra-hedron, i.e. a hypertetrahedron; this is because a baryon is made up of 3 quarks, each of which can be any of the 6 flavours of quark: d, u, s, c, b & t

why a triangle?

with the quarks in baryons tab clicked, look at the top-left group of 10 quark combinations; they form a triangle with ddd in the top-left corner, uuu in the top-right corner, sss in the bottom corner, and every other possible combination of d, u & s quarks in between; these 10 combinations give 18 baryons of different spins and isospins

why a tetrahedron?

now, with the quarks in baryons tab still clicked, imagine the 3 groups of 6, 3 & 1 quark combinations to the right stacked up on top of the triangle of 10 quark combinations in the 3rd dimension; this would form a tetrahedron with ccc in the top corner in the 3rd dimension; this tetrahedron covers all 20 possible combinations of d, u, s & c quarks, giving 40 baryons of different spins and isospins

why a hypertetrahedron?

finally, with the quarks in baryons tab still clicked, imagine, if you can, the remaining groups of 6, 3, 3, 1, 1 & 1 quark combinations below stacked up on top of the tetrahedron of 20 quark combinations in the 4th dimension; this would form a hypertetrahedron with bbb in the top corner in the 4th dimension; this hypertetrahedron covers all 35 possible combinations of d, u, s, c & b quarks, giving 75 baryons of different spins and isospins

what's missing?

baryons and antibaryons that contain top quarks and antiquarks are not shown, because these have such a high mass that it is difficult to create them in particle accelerators; if these massive baryons were shown, they would complete a 5-dimensional tetrahedron covering all 56 possible combinations of 3 quarks, giving 126 baryons of different spins and isospins; throw in the antibaryons, and there is a total of 252 possible baryons and antibaryons

what's the significance of spin?

all baryons have half-integer spin (spin 1/2 or spin 3/2); in other words, all baryons are fermions, subject to the exclusion principle, which means that there is a limit to the number of baryons you can squeeze into a small space; this is what keeps protons and neutrons apart in the nuclei of atoms, and prevents neutron stars from collapsing any further than they already have

Date

First published 31 March 2011

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