Table 12-2 The quarks Weak Mass Baryon number Quark (q) Symbol Charge (e) isospin T; (MeV/c?) Spin (h) 1st generation 에3 336 и dn down 338 2nd generation charm 1,500 strange 540 3rd generation top 174,000 bottom 5,000 Table 12-5 Internal quantum numbers of the quarks Quark т B' и -1 -1 1 -1 Table 12-11 Quark composition of selected hadrons Baryons Quarks Mesons Quarks иud п ud п udd TT ud ЛО uds K+ us 4++ ко ds ийи Σ иus KO sd Σ0 uds su Σ dds J/p uss D+ cd dss D° си Ω. SSS Cs л* udc B+ ub иис B° аь Σ udc Bº db usc B ub

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For this problem, you may use your notes and the tables provided only for parts a, b, and c.

a) For the given quark combination ( d , ) determine the baryon number, the strangeness, and the electric charge quantum number, Q’. Recall, a particle’s charge q is related to its electric charge quantum number Q’ by q = eQ’. [Note: we are using the symbol Q’ so as to prevent confusion with the Q-value of a nuclear decay.] 

b) Using the tables provided, identify the hadron that corresponds to the above data. Estimate the

2 expected mass of the hadron in units of MeV/c^2

c) Determine the hypercharge, the z-component of the isospin, and the isospin for the hadron given in your answer to part b) above.

Table 12-2 The quarks
Weak
Mass
Baryon
number
Quark (q) Symbol
Charge (e)
isospin T;
(MeV/c?)
Spin (h)
1st generation
에3
336
и
dn
down
338
2nd generation
charm
1,500
strange
540
3rd generation
top
174,000
bottom
5,000
Table 12-5 Internal quantum numbers of the quarks
Quark
т
B'
и
-1
-1
1
-1
Table 12-11 Quark composition of selected hadrons
Baryons
Quarks
Mesons
Quarks
иud
п
ud
п
udd
TT
ud
ЛО
uds
K+
us
4++
ко
ds
ийи
Σ
иus
KO
sd
Σ0
uds
su
Σ
dds
J/p
uss
D+
cd
dss
D°
си
Ω.
SSS
Cs
л*
udc
B+
ub
иис
B°
аь
Σ
udc
Bº
db
usc
B
ub
Transcribed Image Text:Table 12-2 The quarks Weak Mass Baryon number Quark (q) Symbol Charge (e) isospin T; (MeV/c?) Spin (h) 1st generation 에3 336 и dn down 338 2nd generation charm 1,500 strange 540 3rd generation top 174,000 bottom 5,000 Table 12-5 Internal quantum numbers of the quarks Quark т B' и -1 -1 1 -1 Table 12-11 Quark composition of selected hadrons Baryons Quarks Mesons Quarks иud п ud п udd TT ud ЛО uds K+ us 4++ ко ds ийи Σ иus KO sd Σ0 uds su Σ dds J/p uss D+ cd dss D° си Ω. SSS Cs л* udc B+ ub иис B° аь Σ udc Bº db usc B ub
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