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Fig. 1:
Evolution of lithium abundance with age in solar twin stars. Field
solar twins are shown by open squares, while filled triangles
represent solar twins in open clusters. The Sun is shown as the red
circle. Non-standard stellar models, which include rotation and
internal gravity waves, (solid lines) can explain both the decrease in
lithium with increasing age and the scatter seen in the sample; the
three different curves are the results for a selection of (assumed)
initial rotational velocities of the stars (indicated by the numbers
next to the curves).
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Fig. 2:
Evolution of lithium abundance with age for solar twins and metal-rich
solar analogues. The solar twin sample is represented by open squares,
those which are known to host planets by filled squares. Metal-rich
solar analogues with and without detected giant planets are shown with
filled and open triangles, respectively. The metal-rich solar
analogues seem to follow a lithium versus age trend as well, similar
to the solar twins, independently of hosting planets or not, but their
lithium content is somewhat smaller than in solar twins at a given
age, at least in the 3 to 6 Gyr age range. This difference is expected
from the higher metal content, as predicted by stellar models.
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The Sun has a very low surface lithium content compared to the initial
value in the proto-solar system as inferred from measurements of the
lithium abundance in meteorites, which were formed at about the same
time as the Sun - 4.5 billion years ago. Lithium is a fragile element
that can be easily destroyed in the interiors of stars where
temperatures are very high. Since the external layers of stars such as
the Sun are convective, surface material can be transported inside the
star, reaching regions possibly hot enough for lithium burning. This
would mean that the material is depleted in lithium when it returns to
the surface; this mechanism therefore could explain the observed low
solar lithium abundance. However, theoretical calculations based on
standard stellar models have been unable to quantitatively account for
the high level of lithium depletion observed on the Sun's surface.
Does the observed low lithium abundance in the Sun make our star
peculiar and therefore unreliable to test general models of how stars
work? To answer this important question, astronomers at the MPA
(Patrick Baumann, Ivan Ramirez, and Martin Asplund), in collaboration
with scientists from the University of Porto (Jorge Melendez, now at
the University of Sao Paulo) and the European Southern Observatory
(Karin Lind), have recently completed a study of solar twin stars,
objects whose temperature, radius, and mass are very similar to the
Sun.
A careful selection of candidates from a pool of about 100,000 stars
was first made using the star's measured colours, brightnesses, and
distances. About 100 of these stars were then observed with a variety
of telescopes, including the 6.5 metre telescope at the Las Campanas
observatory in Chile and the 2.7 metre telescope at the McDonald
observatory in the USA. Additional data were gathered from the public
archives of ESO and Keck observatories. The unprecedented high quality
of the data obtained for these objects allowed the scientists to
measure lithium abundances with high precision as well as fundamental
properties of the stars such as mass, age, and overall metal content.
One of the most important findings of this research is that the
lithium abundances in solar twins (stars of mass and metallicity
essentially identical to solar) decrease monotonically with the age of
the star. Data for solar twin stars in open clusters with well-known
ages fit the observed trend perfectly. Importantly, the Sun does not
appear abnormally low in lithium abundance (see Fig. 1).
In standard solar models the Sun does not rotate, and many important
ingredients dealing with diverse transport mechanisms in the solar
interior are ignored. Thus, it is perhaps not surprising that standard
solar models predict only a minor destruction of
lithium. Nevertheless, in more realistic stellar models lithium can be
destroyed over time. Thus, the trend exhibited by the observed lithium
content versus age can be explained by more realistic representations
of how the interiors of stars work. In particular, models including
rotation and so-called internal gravity waves can successfully
reproduce the observed lithium-versus-age trend.
Recently, it has been claimed by a rivalling research group that stars
with planets are in general more depleted in lithium than those not
hosting planets. However, the age effect described above was not
properly accounted for by this other group.
The MPA team also analysed a sample of metal-rich solar analogues,
stars with properties very similar to the Sun but an overall metal
content that is about 80% larger. This subset of stars was chosen
because stars known to host planets, in general, tend to be more
metal-rich than those where no planets have been detected
yet. Comparing the lithium-versus-age relation for metal-rich solar
analogues with that for stars with planets detected shows no
significant differences (see Fig. 2).
The metal-rich stars seem to have a low lithium abundance
compared to the combined solar twin and solar analogue
sample. However, this is due to a metallicity effect, since metal-rich
solar analogues have, on average, a lower lithium abundance than solar
twins, regardless of whether the star hosts a planet or not. This
metallicity effect is predicted by stellar models, which feature a
deeper convective envelope in more metal-rich stars. In their previous
study, the rivalling team was led to the incorrect conclusion of more
lithium depletion in planet-hosts due to this metallicity effect and
the fact that planet host stars are on average more metal-rich than
stars not known to host planets.
The new study showed that a low lithium abundance in stars can be
naturally explained as an age effect, which is metallicity-dependent
and does not imply the presence of planets. Both solar analogues and
solar twins follow a strong lithium-age trend, suggesting a secular
mixing process in the star, which is well-reproduced by several
non-standard stellar models. The more metal-rich stars (independently
of hosting a planet or not) are somewhat more depleted in lithium. On
the other hand, this research shows that there is no connection
between a low level of lithium in solar-type stars (including our Sun)
and the presence of planets.
Patrick Baumann, Ivan Ramirez, and Martin Asplund
Further Readings
Baumann, P., Ramirez, I., Melendez, J., Asplund, M., Lind, K.
"Lithium depletion in solar-like stars: no planet connection",
2010, Astronomy and Astrophysics, in press,
arXiv:1008.0575
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