Sigma baryon

The Sigma baryons are a family of subatomic hadron particles which have a +2, +1 or −1 elementary charge or are neutral. They are baryons containing three quarks: two up and/or down quarks, and one third quark, which can be either a strange (symbols
Σ+
,
Σ0
,
Σ
), a charm (symbols
Σ++
c
,
Σ+
c
,
Σ0
c
), a bottom (symbols
Σ+
b
,
Σ0
b
,
Σ
b
) or a top (symbols
Σ++
t
,
Σ+
t
,
Σ0
t
) quark. However, the top Sigmas are not expected to be observed as the Standard Model predicts the mean lifetime of top quarks to be roughly 5×10−25 s.[1] This is about 20 times shorter than the timescale for strong interactions, and therefore it does not form hadrons.

List

The symbols encountered in these lists are: I (isospin), J (total angular momentum), P (parity), u (up quark), d (down quark), s (strange quark), c (charm quark), t (top quark), b (bottom quark), Q (charge), S (strangeness), C (charmness), B′ (bottomness), T (topness), as well as other subatomic particles (hover for name).

Antiparticles are not listed in the table; however, they simply would have all quarks changed to antiquarks, and Q, B, S, C, B′, T, would be of opposite signs. I, J, and P values in red have not been firmly established by experiments, but are predicted by the quark model and are consistent with the measurements.[2][3]

JP = 1/2+ Sigma baryons

JP = 1/2+ Sigma baryons
Particle name Symbol Quark
content
Rest mass (MeV/c2) I JP Q (e) S C B' T Mean lifetime (s) Commonly decays to
Sigma[4]
Σ+

u

u

s
1,189.37 ± 0.07 1 1/2+ +1 −1 0 0 0 8.018 ± 0.026 × 10−11
p+
+
π0
or


n0
+
π+

Sigma[5]
Σ0

u

d

s
1,192.642 ± 0.024 1 1/2+ 0 −1 0 0 0 7.4 ± 0.7 × 10−20
Λ0
+
γ
Sigma[6]
Σ

d

d

s
1,197.449 ± 0.030 1 1/2+ −1 −1 0 0 0 1.479 ± 0.011 × 10−10
n0
+
π
charmed Sigma[7]
Σ++
c
(2455)

u

u

c
2,454.02 ± 0.18 1 1/2 + +2 0 +1 0 0 3.0 ± 0.4 × 10−22[a]
Λ+
c
+
π+
charmed Sigma[7]
Σ+
c
(2455)

u

d

c
2,452.9 ± 0.4 1 1/2 + +1 0 +1 0 0 >1.4 × 10−22[a]
Λ+
c
+
π0
charmed Sigma[7]
Σ0
c
(2455)

d

d

c
2,453.76 ± 0.18 1 1/2 + 0 0 +1 0 0 3.0 ± 0.5 × 10−22[a]
Λ+
c
+
π
bottom Sigma[8]
Σ+
b
(?[b])

u

u

b

5,807.8+3.7
−3.9
1 1/2 + +1 0 0 −1 0 Unknown
Λ0
b
+
π+
(seen)
bottom Sigma
Σ0
b
(?[b])

u

d

b
Unknown 1 1/2 + 0 0 0 −1 0 Unknown Unknown
bottom Sigma[8]
Σ
b
(?[b])

d

d

b
5,815.2 ± 2.7 1 1/2 + −1 0 0 −1 0 Unknown
Λ0
b
+
π
(seen)
Top Sigma
Σ++
t

u

u

t
1 1/2 + +2 0 0 0 +1
Top Sigma
Σ+
t

u

d

t
1 1/2 + +1 0 0 0 +1
Top Sigma
Σ0
t

d

d

t
1 1/2 + 0 0 0 0 +1

^ Particle currently unobserved, but predicted by the standard model.
[a] ^ PDG reports the resonance width (Γ). Here the conversion τ = ħ/Γ is given instead.
[b] ^ The specific values of the name has not been decided yet, but will likely be close to
Σ
b
(5810).

JP = 3/2+ Sigma baryons

JP = 3/2+ Sigma baryons
Particle name Symbol Quark
content
Rest mass (MeV/c2) I JP Q (e) S C B' T Mean lifetime (s) Commonly decays to
Sigma[9]
Σ+
(1385)

u

u

s
1,382.8 ± 0.4 1 3/2+ +1 −1 0 0 0 1.84 ± 0.04 × 10−23[c]
Λ0
+
π+
or


Σ+
+
π0
or


Σ0
+
π+

Sigma[9]
Σ0
(1385)

u

d

s
1,383.7 ± 1.0 1 3/2+ 0 −1 0 0 0 1.8 ± 0.3 × 10−23[c]
Λ0
+
π0
or


Σ+
+
π
or


Σ0
+
π0

Sigma[9]
Σ
(1385)

d

d

s
1,387.2 ± 0.5 1 3/2+ −1 −1 0 0 0 1.67 ± 0.09 × 10−23[c]
Λ0
+
π
or


Σ0
+
π
or


Σ
+
π0
or

charmed Sigma[10]
Σ++
c
(2520)

u

u

c
2,518.4 ± 0.6 1 3/2 + +2 0 +1 0 0 4.4 ± 0.6 × 10−23[c]
Λ+
c
+
π+
charmed Sigma[10]
Σ+
c
(2520)

u

d

c
2,517.5 ± 2.3 1 3/2 + +1 0 +1 0 0 >3.9 × 10−23[c]
Λ+
c
+
π0
charmed Sigma[10]
Σ0
c
(2520)

d

d

c
2,518.0 ± 0.5 1 3/2 + 0 0 +1 0 0 4.1 ± 0.5 × 10−23[c]
Λ+
c
+
π
bottom Sigma
Σ+
b

u

u

b
Unknown 1 3/2 + +1 0 0 −1 0 Unknown Unknown
bottom Sigma
Σ0
b

u

d

b
Unknown 1 3/2 + 0 0 0 −1 0 Unknown Unknown
bottom Sigma
Σ
b

d

d

b
Unknown 1 3/2 + −1 0 0 −1 0 Unknown Unknown
Top Sigma
Σ++
t

u

u

t
1 3/2 + +2 0 0 0 +1
Top Sigma
Σ+
t

u

d

t
1 3/2 + +1 0 0 0 +1
Top Sigma
Σ0
t

d

d

t
1 3/2 + 0 0 0 0 +1

^ Particle currently unobserved, but predicted by the standard model.
[c] ^ PDG reports the resonance width (Γ). Here the conversion τ = ħ/Γ is given instead.

See also

References

  1. A. Quadt (2006). "Top quark physics at hadron colliders". European Physical Journal C. 48 (3): 835–1000. Bibcode:2006EPJC...48..835Q. doi:10.1140/epjc/s2006-02631-6.
  2. C. Amsler et al. (2008): Particle summary tables – Baryons
  3. J. G. Körner et al. (1994)
  4. C. Amsler et al. (2008): Particle listings –
    Σ+
  5. C. Amsler et al. (2008): Particle listings –
    Σ0
  6. C. Amsler et al. (2008): Particle listings –
    Σ
  7. 1 2 3 C. Amsler et al. (2008): Particle listings –
    Σ
    c
    (2455)
  8. 1 2 T. Aaltonen et al. (2007a)
  9. 1 2 3 C. Amsler et al. (2008): Particle listings –
    Σ
    (1385)
  10. 1 2 3 C. Amsler et al. (2008): Particle listings –
    Σ
    c
    (2520)

Bibliography

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