The meson has quark content and baryon number

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 Isospin: a symmetry used as bookkeeping

Problem

The

K^0

meson has quark content

d\bar s

and baryon number

B=0

. It belongs, with

K^+

, to a doublet of equal spin and nearly equal mass. ((a)) Compute

I_3

for the

K^0

from its quark content. ((b)) Compute the strangeness

S

(minus the number of

s

quarks, plus the number of

\bar s

quarks) and hence the hypercharge

Y=B+S

. ((c)) State the isospin

I

of the kaon doublet from its number of members. ((d)) Check that

Q = I_3 + Y/2

reproduces the known charge of the

K^0

Q=0

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