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10.10. The Photon–Hadron Interaction: Real and Spacelike Photons 317<br />

10.10 The Photon–Hadron Interaction: Real and Spacelike Photons<br />

Are there not other original properties of the rays of light, besides those<br />

already described?<br />

Newton, Opticks<br />

The interaction of real photons with hadrons at low and moderate photon energies<br />

(say below 20 MeV) has formed a considerable part of nuclear physics for at least<br />

40 years. One example, multipole radiation, was sketched in Section 10.5. Another<br />

celebrated case is the photodisintegration of the deuteron,<br />

γd −→ pn,<br />

which was discovered in 1934 by Chadwick and Goldhaber (16) and used by them<br />

for a measurement of the neutron mass. A third example is the exploration of the<br />

excited states of nuclei with incident gamma rays. The cross section for gamma-ray<br />

absorption shows the existence of individual excited states and the occurrence of<br />

the giant dipole resonance. (17) The basic features of the resulting cross section have<br />

already been given in Fig. 5.34. Such studies produce a great deal of information<br />

concerning nuclear structure, but they teach us little new about the nature of the<br />

photon–hadron interaction: The photon interacts with the electric charges and<br />

currents in the nucleus. The distributions of the charges and currents are determined<br />

by the strong force. If they are assumed to be given, then the interaction with the<br />

probing photon can be described by the Hamiltonian 10.48. Below, say, 100 MeV<br />

incident photon energy, this behavior can be understood: the (reduced) photon<br />

wavelength is of the order 2 fm or longer, short enough to probe some details of<br />

the nuclear charge and current distributions but not short enough to probe the<br />

photon–nucleon interaction. (18)<br />

The interaction of high-energy photons (E ≥ a few GeV) with hadrons presents<br />

a different picture and new aspects emerge: the photon shows hadron-like properties.<br />

(19) The roots of these properties can be understood with concepts that have<br />

been introduced earlier. In Section 3.3, the production of real electron–positron<br />

pairs by real photons was mentioned. In the previous section, it was found that<br />

timelike photons can produce hadrons, as indicated in Figs. 10.21 and 10.22. To<br />

describe the high-energy behavior of real photons, we now consider such processes in<br />

16J. Chadwick and M. Goldhaber, Proc. Roy. Soc. (London) A151, 479 (1935).<br />

17K.A. Snover, Ann. Rev. Nucl. Part. Sc. 36, 545 (1986); J.J. Gaardhoje, Ann. Rev. Nucl.<br />

Part. Sc. 42, 483 (1992).<br />

18It has been shown by various calculations that the scattering of photons in the limit of zero<br />

photon energy is given entirely by the static particle properties, mass, charge, and higher moments.<br />

The hadron structure dynamics does not enter, and the limit agrees with the classical result. W.<br />

Thirring, Phil. Mag. 41, 1193 (1950); F. E. Low, Phys. Rev. 96, 1428 (1954); M. Gell-Mann and<br />

M.L. Goldberger, Phys. Rev. 96, 1433 (1954).<br />

19L. Stodolsky, Phys. Rev. 18, 135 (1967); S.J. Brodsky and J. Pumplin, Phys. Rev. 182, 1794<br />

(1969); V.N. Gribov, Sov. Phys. JETP 30, 709 (1970); D.R. Yennie, Rev. Mod. Phys. 47, 311<br />

(1975); T.H. Bauer et al., Rev. Mod. Phys. 50, 261 (1978).

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