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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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556 Chapter 15<br />

charged particles in the galactic magnetic field would be curved, leading<br />

to an energy-dependent time-delay (Barbiellini and Cocconi 1987).<br />

Because the same argument can be applied to photons, the signals from<br />

radio pulsars also allow one to set a limit on a putative photon electric<br />

charge (Cocconi 1988). However, the resulting dispersion effect scales<br />

with photon frequency in the same way <strong>as</strong> the effect caused by a photon<br />

m<strong>as</strong>s or by the pl<strong>as</strong>ma effect so that this method, again, is limited by<br />

the standard dispersion effect (Raffelt 1994). One finds a bound on the<br />

photon charge of Q γ ∼ < 10 −29 e.<br />

Returning to a hypothetical photon m<strong>as</strong>s, its value can be extracted,<br />

in principle, from the spatial distribution of static magnetic fields of<br />

celestial bodies. The me<strong>as</strong>ured fields can be fitted by an appropriate<br />

multipole expansion in which m γ is kept <strong>as</strong> a free parameter. The<br />

most restricitve limit of this sort w<strong>as</strong> derived from Jupiter’s magnetic<br />

field on the b<strong>as</strong>is of the Pioneer-10 observations; Davis, Goldhaber,<br />

and Nieto (1975) found a limit m γ ∼ < 0.6×10 −15 eV. The same method<br />

applied to the Earth’s magnetic field yields an almost equivalent bound<br />

of m γ ∼ < 0.8×10 −15 eV (Fischbach et al. 1994).<br />

As detailed in a review by Barrows and Burman (1984) more restrictive<br />

limits obtain from detailed considerations of <strong>as</strong>trophysical objects<br />

in which magnetic fields, and hence the Maxwellian <strong>for</strong>m of electrodynamics,<br />

play a key role in maintaining equilibrium or creating long-lived<br />

stable structures. The most restrictive such limit of m γ ∼ < 10 −27 eV is<br />

b<strong>as</strong>ed on an argument by Chibisov (1976) concerning the magnetogravitational<br />

equilibrium of the g<strong>as</strong> in the Small Magellanic Cloud<br />

which requires that the range of the interaction exceeds the characteristic<br />

field scale of about 3 kpc. This limit, if correct, is surprisingly<br />

close to 10 −33 eV where the photon Compton wavelength would exceed<br />

the radius of the observable universe and thus would ce<strong>as</strong>e to have any<br />

observable consequences.<br />

15.5 Free Quarks<br />

It is thought that quarks cannot exist <strong>as</strong> free particles; they always<br />

occur bound in hadrons which are neutral (“white”) with regard to the<br />

“color charge” of the strong interaction. In order to test this hypothesis<br />

of confinement it remains an important t<strong>as</strong>k to search <strong>for</strong> single<br />

quarks. The observation of fractional charges in the experiment of<br />

LaRue, Phillips, and Fairbanks (1981) h<strong>as</strong> never been confirmed. However,<br />

if their observations were caused by unconfined quarks bound to

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