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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Solar Neutrinos 377<br />

GALLEX, or Homestake. The Homestake argon production rate appears<br />

to be strongly anticorrelated with solar disk-centered indicators<br />

of magnetic activity, with no evidence <strong>for</strong> a long-term variation at<br />

Kamiokande. However, the period covered there (1987−1992) may be<br />

too short, and the Kamiokande rate h<strong>as</strong> not been correlated with diskcentered<br />

indicators. No homogeneous analysis of both Kamiokande and<br />

Homestake data relative to solar activity exists at the present time.<br />

It is very difficult to judge what the apparent Homestake anticorrelation<br />

with solar activity means. Is there an unrecognized background<br />

which correlates with solar activity such <strong>as</strong> cosmic rays Is there a<br />

long-term drift in some <strong>as</strong>pect of the experiment which then naturally<br />

correlates with other causally unrelated long-term varying phenomena<br />

such <strong>as</strong> solar activity Is it all some statistical fluke Or is it an indication<br />

of nonstandard neutrino properties, notably magnetic dipole moments<br />

which spin precess in the solar magnetic field into sterile states<br />

This latter possibility will be elaborated further in Sect. 10.7.<br />

10.5 Neutrino Flux Deficits<br />

10.5.1 Boron Flux<br />

Even if one ignores <strong>for</strong> the moment a possible time variation of the<br />

Homestake neutrino me<strong>as</strong>urements there remain several “solar neutrino<br />

problems.” All of the solar neutrino flux me<strong>as</strong>urements discussed in<br />

Sect. 10.3 exhibit a deficit relative to theoretical predictions. The simplest<br />

c<strong>as</strong>e to interpret is that of Kamiokande because it is sensitive only<br />

to the boron flux. In this c<strong>as</strong>e the most uncertain input parameter is<br />

the cross section <strong>for</strong> the reaction p 7 Be → 8 Bγ which enters the flux prediction<br />

<strong>as</strong> a multiplicative factor, independently of other details of solar<br />

modelling. As discussed in Sect. 10.2.3, the <strong>as</strong>trophysical S-factor <strong>for</strong><br />

this reaction depends on theoretical extrapolations to low energies of<br />

experimental data which themselves seem to exhibit relatively large systematic<br />

uncertainties. There<strong>for</strong>e, one may turn the argument around<br />

and consider the solar neutrino flux me<strong>as</strong>urement at Kamiokande <strong>as</strong><br />

another determination of S 17 (0).<br />

According to Eq. (10.20) the me<strong>as</strong>ured flux is 2.89 × (1 ± 0.14) in<br />

units of 10 6 cm −2 s −1 while the prediction is 4.4×(1±0.21)×S 17 (0)/22.4<br />

<strong>for</strong> TL93 (Turck-Chièze and Lopes 1993) where S 17 is understood in<br />

units of eV b. For the BP95 (Bahcall and Pinsonneault 1995) it is<br />

6.6 × (1 ± 0.15) × S 17 (0)/22.4 where I have used an average symmetric

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