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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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100 Chapter 3<br />

Fig. 3.4. Pair annihilation processes <strong>for</strong> the production of neutrino pairs or<br />

new bosons where a second amplitude with the vertices interchanged is not<br />

shown.<br />

importance of stellar energy-loss rates into new scalars relative to neutrino<br />

pairs decre<strong>as</strong>es with incre<strong>as</strong>ing temperature and density. The<br />

impact of new bosons on stellar evolution relative to neutrinos is then<br />

expected to be most pronounced <strong>for</strong> low-m<strong>as</strong>s stars where other processes<br />

such <strong>as</strong> photoproduction dominate. Consequently, the pair process<br />

h<strong>as</strong> not played any significant role at constraining the interactions<br />

of new bosons.<br />

3.4 Free-Bound and Bound-Free Transitions<br />

Photons, new bosons, or neutrino pairs can be emitted in transitions<br />

where a free electron is captured by an ion to <strong>for</strong>m a bound state.<br />

For the c<strong>as</strong>e of axions this effect w<strong>as</strong> dubbed “axio-recombination”<br />

(Dimopoulos et al. 1986). In the Sun, it contributes about 4% of the<br />

total axion flux which is mostly from bremsstrahlung. The energy-loss<br />

rate scales <strong>as</strong> T 3/2 , bremsstrahlung <strong>as</strong> T 5/2 , and Compton emission <strong>as</strong><br />

T 6 . Thus, axio-recombination is of importance in low-m<strong>as</strong>s stars which<br />

have low internal temperatures; <strong>for</strong> main-sequence stars with M ∼ <<br />

0.2 M ⊙ it would be the dominant axion emission process. However,<br />

given the limits on the coupling of pseudoscalars to electrons from other<br />

arguments, no observable effects can be expected.<br />

Of some practical interest is the inverse process where an axion unbinds<br />

an atomic electron, the “axio-electric effect” (Dimopoulos, Starkman,<br />

and Lynn 1986a,b). It serves to constrain the solar flux of axions<br />

or other pseudoscalars which could produce keV electrons in a Ge spectrometer<br />

designed to search <strong>for</strong> double-β decay (Avignone et al. 1987).<br />

Un<strong>for</strong>tunately, the resulting bound of α ′ ∼ < 10 −21 is not very restrictive.<br />

Pseudoscalars saturating this limit would be a major energy drain of<br />

the Sun and thus not compatible with its observed properties.<br />

For neutrinos, free-bound transitions were first discussed by Pinaev<br />

(1963). Recently, Kohyama et al. (1993) studied the corresponding

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