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Subatomic Physics

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14.11. References 467<br />

(b) What combinations can be emitted by a red quark?<br />

(c) What combinations can be emitted by a single gluon joining to two other<br />

gluons as shown in Fig. 14.20b?<br />

14.46. (a) In attempts at unification of the subatomic forces with gravity, a maximum<br />

mass scale and a minimum length sometimes appear; they are the<br />

Planck mass and Planck length. Use dimensional arguments to obtain<br />

these two measures in terms of �, c, and the gravitational constant G.<br />

(b) Evaluate the values of the Planck mass in GeV/c 2 and the Planck length<br />

in cm.<br />

14.47. What is the range of the one-gluon exchange force?<br />

14.48. In chapter 10 we demonstrated that color was important in understanding the<br />

cross sections of hadrons produced in high-energy electron–positron collisions.<br />

What other instances can you think of where experimental evidence for three<br />

colors can be obtained?<br />

14.49. If the couplings of the ρ and ω mesons to a nucleon are similar to that of<br />

a photon, determine the nucleon–nucleon potentials due to the exchange of<br />

these particles.

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