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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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344 Chapter 10<br />

tional sensitivity it is a true “neutrino telescope” and <strong>for</strong> the first time<br />

established that indeed neutrinos are coming from the direction of the<br />

Sun. It is perplexing, however, that the me<strong>as</strong>ured flux is less suppressed<br />

relative to solar-model predictions than that found in the Homestake<br />

experiment. This is the reverse from what would be expected on the<br />

grounds that 37 Cl is sensitive to boron and beryllium neutrinos.<br />

The situation changed yet again when the experiments SAGE (Soviet-American<br />

Gallium Experiment) and GALLEX began to produce<br />

data in 1990 and 1991, respectively. They are radiochemical experiments<br />

using the reaction ν e + 71 Ga → 71 Ge + e − which h<strong>as</strong> a threshold<br />

of 233 keV. There<strong>for</strong>e, these experiments pick up the dominant pp neutrino<br />

flux which can be calculated from solar models with a precision of<br />

a few percent unless something is radically wrong with our understanding<br />

of the Sun. There<strong>for</strong>e, a substantial deficit of me<strong>as</strong>ured pp neutrinos<br />

would have been a “smoking gun” <strong>for</strong> the occurrence of neutrino oscillations.<br />

While the first few exposures of SAGE seemed to indicate<br />

a low flux, the good statistical significance of the data that have since<br />

been accumulated by both experiments indicate a flux which is high<br />

enough so that no pp neutrinos are reported missing, but low enough<br />

to confirm the existence of a significant problem with the high-energy<br />

part of the spectrum (beryllium and boron neutrinos).<br />

With four experiments reporting data, which represent three different<br />

spectral responses to the solar neutrino flux, the current attention<br />

h<strong>as</strong> largely shifted from a comparison between experiments and theoretical<br />

flux predictions to a “model-independent analysis” which is b<strong>as</strong>ed<br />

on the small number of possible source reactions each of which produces<br />

neutrinos of a well-defined spectral shape. This sort of analysis currently<br />

indicates a lack of consistency among the experiments which can<br />

be brought to perfect agreement if neutrinos are <strong>as</strong>sumed to oscillate.<br />

Even though the attention h<strong>as</strong> currently shifted away from theoretical<br />

solar neutrino flux predictions it should be noted that in recent<br />

years there h<strong>as</strong> been much progress in a quantitative theoretical treatment<br />

of the Sun. Independently of the interest in the Sun <strong>as</strong> a neutrino<br />

source it serves <strong>as</strong> a laboratory to test the theory of stellar structure<br />

and evolution. Particularly striking advances have been made in the<br />

field of helioseismology. There are two b<strong>as</strong>ic vibration patterns <strong>for</strong> the<br />

Sun, one where gravity represents the restoring <strong>for</strong>ce (g-modes), and<br />

normal “sound” or pressure (p) modes. The <strong>for</strong>mer are evanescent in<br />

the solar convection zone (depth about 0.3 R ⊙ from the surface) and<br />

have never been unambiguously observed. The oscillation period of the<br />

highest-frequency g-modes would be about 1 h.

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