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Subatomic Physics

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584 Nuclear and Particle Astrophysics<br />

The peak in Fig. 19.2 indicates that on average the temperature fluctuations have<br />

a width of, and are separated by, ∼ 1degreeinthesky.<br />

Perhaps the most important present problem in cosmology which is closely connected<br />

to subatomic physics is that baryonic matter constitutes less than 4% of the<br />

mass required by the condition Ω = 1; about 22% is dark matter and about 74% of<br />

it is vacuum energy. (12) The evidence for dark matter comes from the distribution<br />

of galaxies and clusters and their motions, from the study of stars, and from the expansion<br />

of the universe. The dark matter makes itself felt through its gravitational<br />

effects, but remains invisible to other probes. Weakly interacting massive particles<br />

(WIMPs) and axions (a particle that has been proposed to explain the smallness<br />

of CP-breaking in the strong interaction) are candidates to solve this problem. (13)<br />

Continuing efforts are being undertaken to search for this missing dark matter. (14)<br />

There are two important scenarios, named ‘hot dark matter’, where dark matter is<br />

assumed to have velocities close to the speed of light, and ‘cold dark matter’ that<br />

assumes very low velocities, similar to the baryonic matter. Fig. 19.2 shows that a<br />

model that assumes that dark matter is cold can fit the CMBR data very nicely, so<br />

this is presently a favored hypothesis (see problem 19.13.)<br />

Vacuum energy became a possible explanation for the unanticipated accelerating<br />

expansion of the universe found by two separate investigative teams that were<br />

studying distant supernovae. (2) Supporting evidence comes from the studies of the<br />

CMBR and nucleosynthesis, which show that cold dark matter and baryons only<br />

account for ∼ 26% of the mass required for a flat universe. The vacuum energy can<br />

be represented by a cosmological constant, introduced by Einstein in general relativity<br />

and dubbed by him as “my biggest mistake”! (15) A deeper understanding of<br />

the birth of our universe and its transitional stages occurred with the development<br />

of grand unified theories or GUTs. These theories, which unify the electroweak and<br />

hadronic forces also predict baryonic decays, which together with CP or time reversal<br />

violation, are a possible scenario for understanding the particle over antiparticle<br />

excess and the ratio of baryons to photons (about 6 × 10 −10 ) in our universe. The<br />

conditions for obtaining an excess of baryons over antibaryons were stated succinctly<br />

by Sakharov. (16) They are: 1) CP nonconservation, 2) baryon nonconservation, and<br />

3) nonequilibrium conditions. CP nonconservation permits a slight difference to develop<br />

between the number of baryons and antibaryons. As an example consider a<br />

particle X of mass = 10 14 GeV/c 2 . If baryon and lepton numbers are not conserved<br />

exactly, X may decay to a quark and electron and X to a q and e + .Above<br />

temperatures of 10 14 GeV, decay and formation of X and X were in approximate<br />

12W.L. Freedman and M.S. Turner, Rev. Mod. Phys. 75, 1433(2003).<br />

13K. van Bibber and L.J. Rosenberg, Phys. Today pg. 30, Aug. (2006).<br />

14R.J. Gaitskell, Annu. Rev. Nuc. Part. Sci. 54, 315 (2004); Sadoulet, Rev. Mod. Phys. 71,<br />

S197 (1999)<br />

15Einstein originally introduced the constant with the intention of precluding his equations from<br />

predicting an expanding universe, because at the time there was no evidence for the expansion.<br />

16A.D. Sakharov, Pis’ma Z. Eksp. Teor. Fiz. 5, 32 (1967); English Translation: JETP Lett. 5,<br />

24 (1967); L.B. Okun, Ya.B. Zeldovich, Comments Nucl. Part. Phys. 6, 69 (1976).

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