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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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454 Chapter 12<br />

Fig. 12.2. Spectrum of reactor ν e ’s per fission of 239 Pu and 235 U (von Feilitzsch<br />

et al. 1982; Schreckenbach et al. 1985). The width of the lines gives<br />

the total error of the spectra.<br />

able bound w<strong>as</strong> inferred by Vogel (1984) from data taken at the Gösgen<br />

reactor (Switzerland). The most recent analysis is, again, b<strong>as</strong>ed on<br />

data taken with a scintillation counter at Gösgen (Oberauer, von Feilitzsch,<br />

and Mössbauer 1987). From a comparison of the “reactor on”<br />

with the “reactor off” photon counts <strong>for</strong> several energy channels in the<br />

MeV range and using the experimentally established neutrino spectrum<br />

(Fig. 12.2), these authors found the 68% CL lower limits on the ν e radiative<br />

decay times of τ γ /m νe > 22 s/eV <strong>for</strong> α = −1, 38 s/eV <strong>for</strong> α = 0,<br />

and 59 s/eV <strong>for</strong> α = +1. It w<strong>as</strong> <strong>as</strong>sumed that ν ′ is m<strong>as</strong>sless so that<br />

δ m = 1 in Eq. (12.5). With Eq. (7.12) the α = −1 constraint translates<br />

into a bound on the effective electromagnetic transition moment of<br />

µ eff < 0.092 µ B m −2<br />

eV , (12.6)<br />

not a very restrictive limit even if ν e saturates its upper m<strong>as</strong>s bound of<br />

about 5 eV.<br />

Even this weak limit would ce<strong>as</strong>e to apply if ν e and ν ′ became<br />

nearly degenerate. There<strong>for</strong>e, Bouchez et al. (1988) per<strong>for</strong>med an experiment<br />

where they searched <strong>for</strong> optical decay photons at the Bugey<br />

reactor (France). They excluded a certain region in the parameter<br />

plane spanned by τ γ /m νe and δ m . Their greatest sensitivity w<strong>as</strong> approximately<br />

at δ m = 2×10 −5 where they found τ γ /m > νe ∼ 0.04 s/eV.<br />

With Eq. (7.12) this is µ < eff ∼ 10 7 µ B /m 2 eV which, un<strong>for</strong>tunately, is irrelevant<br />

<strong>as</strong> a constraint. Hence, <strong>for</strong> nearly degenerate neutrinos there

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