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Subatomic Physics

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252 P , C, CP, andT<br />

The result,<br />

〈H(e − )〉 = − v<br />

c ,<br />

〈H(e + )〉 =+ v<br />

c ,<br />

(9.34)<br />

where v is the lepton velocity,<br />

confirms parity nonconservation<br />

in the weak interaction.<br />

We have stated above that<br />

parity is conserved in the electromagnetic<br />

and the hadronic<br />

interaction. This statement<br />

requires some explanations.<br />

Neglecting the gravitational<br />

interaction, the total Hamiltoniancanbewrittenas<br />

H = Hh + Hem + Hw.<br />

Figure 9.6: (a) Arrangement to measure beta emission<br />

from polarized nuclei. (b) Result of the earliest experiment<br />

showing parity nonconservation [C. S. Wu, E. Ambler,R.W.Hayward,D.D.Hoppes,andR.P.Hudson,<br />

Phys. Rev. 105, 1413 (1957).] A normalized counting rate<br />

in the beta detector is shown for two directions of the external<br />

magnetic field. After adiabatic demagnetization, the<br />

source warms up, the polarization decreases, and the effect<br />

disappears.<br />

Cross sections or transition probabilities are always proportional to |H| 2 ;consequently<br />

interference terms between the weak and the other two interactions will<br />

occur. Since Hw does not conserve parity, the interference terms should also show<br />

parity violation. Experiments to detect these interference terms are extremely difficult,<br />

but parity violating asymmetries of the expected order of magnitude have indeed<br />

been seen in many experiments. (12) The interference of the weak and hadronic<br />

interactions has been observed in nuclear reactions, radiative transitions and in<br />

nucleon–nucleon scattering. The effect for the electromagnetic interaction has been<br />

verified in atomic physics, (13) in electron-electron scattering, (14) and in polarized<br />

electron- proton and -nucleus scattering (15) experiments.<br />

9.4 Charge Conjugation<br />

In Section 5.10, the concept of antiparticles was introduced. This concept gives<br />

rise to long and mainly philosophical discussions centered around questions such as<br />

Phys. Rev. 109, 1015 (1958).<br />

12E. G. Adelberger and W. Haxton, Annu. Rev. Nucl. Part. Sci. 35, 501 (1985); E. M. Henley<br />

in Prog. Part. Nucl. Phys., (A. Faessler, ed.) 20, 387 (1987); W. Haeberli and B.R. Holstein in<br />

Symmetries and Fundamental Interactions, ed. W.C. Haxton and E.M. Henley, World Scientific<br />

Singapore, 1995, p. 17.<br />

13E. A. Hinds, Amer. Sci. 69, 430 (1981); E. N. Fortson and L. L. Lewis, Phys. Rept 113, 289<br />

(1984); M. C. Noecker, B. P. Masterson, and C. E. Wieman, Phys. Rev. Lett. 61, 310 (1988).<br />

14P.L. Anthony et al., SLAC E158 Collaboration, Phys. Rev. Lett. 92, 181602 (2004).<br />

15C.Y. Prescott et al., Phys. Lett. 77B, 347 (1978), 84B, 524 (1979); T. M. Ito et al. (SAMPLE<br />

Collaboration), Phys. Rev. Lett. 92, 102003 (2004); K.A. Aniol et al. (HAPPEX Collaboration),<br />

Phys. Rev. C 69, 065501 (2004); D. S. Armstrong et al. (G0 Collaboration), Phys. Rev. Lett.<br />

95, 092001 (2005).

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