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598 Nuclear and Particle Astrophysics<br />

and 6.11, the interaction will produce a large number of hadrons; pions predominate,<br />

but antinucleons, kaons, and hyperons also occur. These hadrons can again interact<br />

with oxygen or nitrogen nuclei; the unstable ones can also decay weakly. The decays<br />

result in electrons, muons, neutrinos, and photons (Chapter 11). The photons can<br />

produce pairs; the muons decay, but because of the time dilation (Eq. (1.9)), many<br />

penetrate into the Earth’s solid mantle before doing so. Overall, a very-high energy<br />

proton can give rise to a large number of photons and leptons (Fig. 3.10); such a<br />

cosmic-ray shower can cover an area of many km 2 on the surface of the Earth. (46)<br />

In contrast, a photon produces a shower with very few muons. We shall not discuss<br />

the phenomena in the atmosphere further, but shall turn to the primary radiation.<br />

Abundance relative to Carbon = 100<br />

10 6<br />

10 4<br />

10 2<br />

10 0<br />

10 -2<br />

10 -4<br />

Nuclear abundance: cosmic rays compared to solar system<br />

H<br />

Li<br />

He<br />

Cosmic ray<br />

Solar system<br />

C<br />

O<br />

N<br />

Ne Mg Si<br />

S<br />

A Ca Ti Cr<br />

Fe<br />

Cu<br />

Na Al<br />

F<br />

P Cl K<br />

Mn<br />

Ni<br />

B<br />

V<br />

Sc<br />

10 -6 Be<br />

0 5 10 15<br />

Nuclear charge<br />

20 25 30<br />

Figure 19.10: Composition of the nuclear component of<br />

the primary cosmic rays. Shown for comparison are the<br />

solar abundances. [From T.K. Gaisser and T. Stanev, Nucl.<br />

Phys. A777, 98 (2006).]<br />

The composition of the nuclear<br />

component of the primary<br />

cosmic rays is shown<br />

in Fig. 19.10. (47) Also shown<br />

for comparison is the universal<br />

distribution of the elements<br />

observed in the solar<br />

atmosphere and in meteorites.<br />

A few remarkable facts<br />

emerge from a comparison of<br />

the cosmic-ray and the universal<br />

data: (1) The elements<br />

Li, Be, and B are about 10 5<br />

times more abundant in cosmic<br />

rays than universally. (2)<br />

The ratio 3 He/ 4 He is about<br />

300 times larger in cosmic<br />

rays. (3) Heavy nuclei are<br />

much more prevalent in cosmic<br />

rays.<br />

The first two facts can be explained by assuming that the cosmic rays have traversed<br />

about several g/cm 2 of matter between their source and the top of the Earth’s<br />

atmosphere. In such an amount of matter, nuclear reactions produce the observed<br />

distribution. Since the interstellar density is about 10 −25 g/cm 3 ,thecosmicrays<br />

must have wandered around for 10 6 –10 7 y. Two more facts have been established<br />

that may prove important for theories of the origin of cosmic rays: (4) So far, no<br />

antihadrons have been found in the primary cosmic rays. (48) (5) Electrons are about<br />

46 D.E. Nagle, T.K. Gaisser, and R.J. Protheroe, Annu. Rev. Nuc. Part. Sci. 38, 609 (1988);<br />

M.V.S. Rao and B.V. Sreekantan, Extensive Air Showers, World Scientific, 1998.<br />

47 Composition and Origin of Cosmic Rays,( M. M. Shapiro, ed.) Reidel , Boston, 1982; J.<br />

A. Simpson, Annu. Rev. Nuc. Part. Sci. 33, 323 (1983); N. Lund in Cosmic Radiation in<br />

Contemporary Astrophysics, (M. M. Shapiro, ed.) Reidel, Boston, 1986, p. 1.<br />

48 See e.g., M. Bongi et al, IEEE Transc Nucl. Sci. 51, 854 (2004).

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