The baryon has quark content

PHYSICS · Multi-part · Fermi University Physics · Particle Physics & Quantum Fields · Symmetry, groups and the quark model · Symmetry, groups and the quark model

Particle Physics, Ch SU(3) flavour and the hadron multiplets

Problem

The

\Sigma^+

baryon has quark content

uus

. Take

u

I_3=+1/2

S=0

;

d

I_3=-1/2

S=0

;

s

I_3=0

S=-1

; each quark has

B=1/3

. Hypercharge is

Y=B+S

. ((a)) Find

B

I_3

and

Y

for

\Sigma^+

. ((b)) State which row of the baryon octet (top, middle or bottom, ranked by

Y

) contains this point, and name one other baryon sharing that row.

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