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4.8.4 Subatomic particles
Classification
Subatomic particles are classified according to whether
they do or do not respond to the strong nuclear force. Those that do are named
‘hadrons’, of which the protons and neutron are particular
examples, while those that do not respond to the strong force are called
‘leptons’, and the electron and neutrino are examples.
The leptons appear to be pointlike even when probed to
the highest resolution currently available ( 10−18 m). The hadrons are known to be extended
objects ( 10−15 m diameter) which are built from
pointlike particles known as ‘quarks’. Five varieties of quark have
been identified which are distinguished by their electrical charges and further
intrinsic properties named ‘strangeness’, ‘charm’,
‘bottom’ (or ‘beauty’) which are additive quantum
numbers. Thus a hadron containing two charmed quarks will have net 2 units of
charm and is referred to as a charmed hadron; the more strange quarks there are
contained in a hadron, the more will be its net strangeness. The total
electrical charge of a hadron is the sum of the electrical charges of its
constituent quarks.
The quarks respond to the strong nuclear force but
otherwise behave very much like leptons. This has led to conjectures that
leptons and quarks may be fundamental and related to one another, though the
precise nature of this relationship is still unclear. Recent evidence for a
sixth variety of quark (variously called the ‘top’ quark or
sometimes ‘truth’) completes a parallelism with the six
leptons.
For each variety of particle listed nature also has an
antiparticle with the same mass and spin but opposite charge, strangeness and
other additive quantum numbers. Their symbols are the same as those for their
particle equivalents but for a bar above them, e.g. p is a proton and
is the antiproton. The anti-electron is denoted
−, or most commonly
e+, and named the ‘positron’.
The data on antiparticles are much poorer than for
particles. General theorems require that antiparticles have the same mass and
lifetimes as their particle equivalents: the poor data are all consistent with
this and are not listed here.
In addition, there are particles classified by the
family name ‘gauge bosons’. These are carriers of the fundamental
forces and have spin. The photon is the carrier of the electromagnetic force;
the W and Z bosons are the carriers of the weak forces.
Fundamental particles with spin 
Leptons
|
Name and
symbol |
Charge |
Mass/MeV |
Mean life/s |
Principal decay modes |
|
|
|
|
|
|
|
|
Electron |
e |
−e |
0.510 999 06 ± 0.000 000
15 |
Stable |
Stable |
|
|
|
|
|
(> 1.9 × 1023
years) |
|
|
Electron- |
νe |
0 |
< 7.3 ×
10−6 |
Stable |
Stable |
|
neutrino |
|
|
|
|
|
|
Muon |
μ |
−e |
105.658 389 ± 0.000 034 |
2.197 03 ×
10−6 |
ev |
|
|
|
|
|
± 0.000 04 |
|
|
Muon- |
vμ |
0 |
< 0.27 |
Stable |
Stable |
|
neutrino |
|
|
|
|
|
|
|
|
|
|
|
|
|
Tau |
τ |
−e |
|
2.956 × 10 −13
± 0.031 |
Hadron + neutrals
π−
π0ν,
μνν, eνν |
|
|
|
|
|
|
|
|
Tau- |
ντ |
0 |
< 31 |
Stable |
Stable |
|
neutrino |
|
|
|
|
|
|
|
|
|
|
|
|
The observed mean life of a
particle in flight is longer than its mean life at rest by a factor
|
(1−β2) −
1/2 = 1 + |
Kinetic enery |
|
|
Rest energy |
|
where β is the ratio of its velocity in the
observer's frame to the velocity of light.
Quarks
|
Name
and symbol |
Charge |
Z-component (IZ)
of isospin |
Baryon number |
Other non-zero quantum numbers |
Mass/GeV |
|
|
|
|
|
|
|
|
|
Down |
d |
|
|
|
0 |
0.35 |
|
Up |
u |
|
|
|
0 |
0.35 |
|
Strange |
s |
|
0 |
|
Strangeness − 1 |
0.5 |
|
Charm |
c |
|
0 |
|
Charm + 1 |
1.3−1.7 |
|
Bottom |
b |
|
0 |
|
Bottom + 1 |
4.7−5.3 |
|
Top |
t |
|
0 |
|
Top + 1 |
175 |
|
|
|
|
|
|
|
|
No individual quarks have been isolated so the
concept of mass is not well defined. The listing is merely a qualitative guide
extracted from the masses of the lightest hadrons built from the respective
quarks. For more details see F. E. Close (1979) An Introduction to Quarks
and Partons, Academic Press.
Stable and metastable hadrons
These data refer only to particles immune to decay via
the strong interaction; they are derived by the Particle Data Group (Phys.
Rev., D50, July 1994) which contains a considerable expansion of the
data of this table together with data on unstable mesons and baryons. At
present these data are updated biennially by the Particle Data Group.
The quark content is listed by symbols, e.g. the proton
built of two up quarks and one down quark is denoted uud. Several
metastable heavy particles have been found built from a charmed quark
(c) and charmed antiquark (
) or from a
bottom quark (b) and a bottom antiquark (
). The
resulting bound states of these quarks appear to be effectively
non-relativistic systems with spin 0 or 1 and orbital angular momentum similar
to positronium. By analogy they are known as ‘charmonium’ and
‘bottomonium’ respectively. The spectrum is listed under Heavy
quark spectroscopy, below. The charmonium and bottomonium states all have zero
baryon number, strangeness, charm and bottom quantum numbers.
The charm (C), strangeness (S) and baryon number (B) of
the hadrons which appear in the subsequent tables are as follows:
|
Hadron type |
Mesons (B = 0) |
S |
C |
Baryons (B = 1) |
S |
C |
| |
|
|
|
|
|
|
|
Non-strange . . . . . . |
π, η |
0 |
0 |
p, n |
0 |
0 |
|
Strange
. . . . . . . |
K+ |
+1 |
0 |
Λ, Σ |
−1 |
0 |
| |
K− |
−1 |
0 |
Ξ |
−2 |
0 |
| |
|
|
|
 |
~ 50% |
| ~ 50% |
|
+1 |
0 |
Ω− |
−3 |
0 |
| |
−1 |
0 |
| |
|
|
|
|
|
|
|
Charmed . . . . . . . |
D+, D0 |
0 |
1 |
|
0 |
+1 |
| |
D− ,
0 |
0 |
−1 |
|
|
|
| |
|
+1 |
+1 |
|
|
|
| |
|
−1 |
−1 |
|
|
|
| |
|
|
|
|
|
|
Mesons consist of a quark and an antiquark; baryons (B = 1) consist of
three quarks (each with B =
). The superscripts denote charges in units of the proton
charge.
Nonstrange hadrons
|
Name
and symbol |
Quark content |
Spin |
Mass/MeV |
Mean life/s |
Principal modes of decay |
|
|
|
|
|
|
|
|
Pion π+, (π−) |
u (dū) |
0 |
139.5699 ± 0.00035 |
2.6030 × 10−8 ± 0.0024
|
μ±ν
|
|
π0 . . . . . . |
uū
and d |
0 |
134.9764 ± 0.0006 |
0.84 × 10−16 ±
0.06 |
γγ |
|
Eta
η0 . . . . . |
uū, d and s |
0 |
547.45 ± 0.19 |
7.93 × 10−19 ±
1.1 |
γγ, |
|
|
|
|
|
|
π0π0π0, |
|
|
|
|
|
|
π +π −π0 |
|
Proton p
. . . |
uud |
|
938.272 31 ± 0.000 28 |
Stable (> 1.6 × 1025 years) |
Stable |
|
Neutron n
. . . |
ddu |
|
939.5653† ± 0.00028 |
887.0 ± 2.0 |
pe− |
|
|
|
|
|
|
|
† The difference (mp −
mn) between the proton and neutron masses is known very
accurately to be − 1.293 318 ± 0.000 009 MeV.
Strange hadrons
|
Name
and symbol |
Quark content |
Spin |
Mass/MeV |
Mean life/s |
Principal modes of decay |
|
|
|
|
|
|
|
|
K-mesons |
|
|
|
|
|
|
K + (K
−) . . . |
u , (sū) |
0 |
493.677 ± 0.016 |
1.2371× 10 −8 ± 0.0029 |
μ±ν,
π±π0 |
| K |
0 |
 |
|
S |
| K |
0 |
| |
L |
|
|
0 |
497.671 ± 0.031 |
0.8922 × 10 −10 ± 0.0020 5.17
× 10 −8 ± 0.04 |
π+π−,
π0π0
π0π0π0, π+π−π0 π±ev,
π±
μν |
| |
|
|
|
|
|
|
Hyperons |
|
|
|
|
|
|
Λ . . . . |
uds |
|
1115.68 ± 0.01 |
2.632 × 10 −10 ± 0.020 |
pπ−, nπ0 |
|
Σ+ . . . . . |
uus |
|
1189.36 ± 0.06 |
0.800 × 10 −10 ± 0.004 |
pπ0, nπ+ |
|
Σ− . . . . . |
dds |
|
1197.34 ± 0.05 |
1.482 × 10 −10 ± 0.011 |
nπ− |
|
Σ0 . . . . . |
uds |
|
1192.46 ± 0.08 |
5.8 × 10 −20 ± 1.3 |
Λγ |
|
Ξ− . . . . . |
dss |
|
1321.32 ± 0.13 |
1.641 × 10 −10 ± 0.016 |
Λπ− |
|
Ξ0 . . . . . |
uss |
|
1314.9 ± 0.6 |
2.90 × 10 −10 ± 0.10 |
Λπ0 |
|
Ω− . . . . . |
sss |
|
1672.45 ± 0.32 |
0.819 × 10 −10 ± 0.027 |
ΛK−,
Ξ0π−,
Ξ− π0 |
|
|
|
|
|
|
|
The difference (MKL − MKS)
between the K 0L and K
0S masses is known very accurately to be
MKL − MKS = (3.510 ±
0.018) × 10 −12 MeV
Charmed hadrons
|
Name
and symbol |
Quark content |
Spin |
Mass/MeV |
Mean life/s |
Principal modes of decay |
|
|
|
|
|
|
|
|
D+
(D−) . . . |
c (d ) |
0 |
1869.4 ± 0.4 |
10.57 ± 0.15 × 10
−13 |
0π±π0
0π±π+π− |
|
Do ( o) . . . |
c (u ) |
0 |
1864.5 ± 0.5 |
4.15 ± 0.04 × 10 −13 |
−π+π0 −π+π0 |
|
Ds+
(Ds−) . . . |
c ( s) |
0 |
1968.8 ± 0.7 |
4.67 ± 0.17 × 10 −13 |
K, π, η (many |
|
|
|
|
|
|
combinations) |
|
Λc+ . . . . . |
cud |
|
2284.9 ± 0.6 |
2.00 ± 0.01 × 10 −13 |
pK −
π+ |
|
Ξc+ . . . . . |
cus |
|
2465.1 ± 1.6 |
|
ΛK − π+
π+ |
|
Ξco . . . . . |
cds |
|
2470.3 ± 1.8 |
|
0.98 |
+ 0.23 |
× 10−13 |
|
− 0.15 |
|
Ξ − π+ |
|
|
|
|
|
|
|
Bottom hadrons
|
Name
and symbol |
Quark content |
Spin |
Mass/MeV |
Mean life/s |
Principal modes of decay |
|
|
|
|
|
|
|
|
B+
(B−) . . . |
u (bū) |
0 |
5278.6 ± 2.0 |
(12.9 ± 0.5) × 10 −13* |
Charmed and/or strange hadrons |
|
Bo ( o) . . . |
b ( d) |
0 |
5279.0† ± 2.0 |
(12.9 ± 0.5) × 10 −13 |
Charmed and/or strange
hadrons |
|
|
|
|
|
|
|
* This is averaged over all B mesons. † Mass difference
mBo − mB± = 0.34 ±
0.29 MeV.
Heavy quark spectroscopy
The massive charmed and bottom quarks form
non-relativistic bound states with their corresponding antiquarks. The
resulting spectroscopy is similar to that of positronium and is known as
‘charmonium’ (charmed quark and charmed antiquark) or
‘bottomonium’. The low-lying energy levels are metastable. These
energy levels yield important information on the nature of the interquark
forces. The quark and antiquark couple their spins to a total of spin 0 or 1
and are in a state of relative orbital angular momentum L. The spectrum
is listed in standard 2S +
1LJ notation.
Charmonium spectroscopy
|
State |
c configuration |
Spin |
Mass/MeV |
Width/MeV |
Principal modes of decay |
|
|
|
|
|
|
|
|
ηc (2980) |
1S0 |
0 |
2978.8 ± 1.9 |
|
Hadrons |
|
J/ψ(3100) |
3S1 |
1 |
3096.9 ± 0.1 |
0.086 ± 0.006 |
e+ e−,
μ+ μ−, γ+
hadrons |
|
χc0(3415) |
3P0 |
0 |
3415.1 ± 1.0 |
14 ± 5 |
2(μ+ π−
) |
|
χc1(3510) |
3P1 |
1 |
3510.5 ± 0.1 |
0.88 ± 0.14 |
γ
J/ψ(3100) |
|
χc2(3555)
|
3P2 |
2 |
3556.2 ± 0.1 |
2.00 ± 0.18 |
γ
J/ψ(3100) |
|
ψ(3685) |
3S1 |
1 |
3686.0 ± 0.1 |
0.278 ± 0.032 |
J/ψπ+ π−,
J/ψπoπo γχ(3415), γχ(3510) γχ(3555) |
|
ψ(3770) |
3D1 |
1 |
3769.9 ± 2.5 |
23.6 ± 2.7 |
D |
|
|
|
|
|
|
|
Heavier charmonium states decay rapidly to charmed
hadrons.
Bottomonium spectroscopy
|
State |
b configuration |
Spin |
Mass/MeV |
Width/MeV |
Principal modes of decay |
|
|
|
|
|
|
|
|
(9460)
|
13S1 |
1 |
9460.32 ± 0.22 |
0.052 ± 0.002 |
e+ e−,
μ+ μ− hadrons |
|
χb0(9873) |
13P0 |
0 |
9859.8 ± 1.3 |
|
γ (9460) |
|
χb1(9894) |
13P1 |
1 |
9891.9 ± 0.7 |
Unknown |
γ (9460) |
|
χb2(9914)
|
13P2 |
2 |
9913.2 ± 0.6 |
|
γ (9460) |
|
(10020)
|
23S1 |
1 |
10 023.3 ± 0.3 |
0.043 ± 0.008 |
|
|
χ′b(10231) |
23P0 |
0 |
10 232 ± 1 |
|
 |
|
|
χ′b(10249) |
23P1 |
1 |
10 255 ± 1 |
Unknown |
(9460)γ,
(10020)γ |
|
χ′b(10264) |
23P2 |
2 |
10 268 ± 1 |
|
|
|
(10350)
|
33S1 |
1 |
10 355 ± 1 |
0.024 ± 0.003 |
|
Unknown |
|
(10570)
|
43S1 |
1 |
10 580 ± 1 |
24 ± 2 |
|
Unknown |
|
|
|
|
|
|
|
Heavier bottomonium states decay rapidly to bottom
hadrons.
Gauge bosons with spin 1
|
Name and symbol |
Charge |
Force transmitted |
Mass/MeV |
Width/GeV |
Principal modes of decay |
|
|
|
|
|
|
|
|
Photon γ . . . |
0 |
Electromagnetic |
0 |
Stable |
Stable |
|
Gluon
g . . . |
0 |
Interquark colour and strong
forces |
0 |
Stable |
Stable |
|
Weak bosons W± |
±e |
Charged weak (radioactivity) |
80.22 ± 0.26 |
2.08 ± 0.07 |
e ± v, μ ±
v, τ
± v hadrons |
|
Z0 . . . . . |
0 |
Neutral weak |
91.187 ± 0.007 |
2.490 ± 0.007 |
e+ e−,
μ+ μ−, τ+
τ
hadrons |
|
|
|
|
|
|
|
F.E.Close
|
 |