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Matteo Cantiello added Segue_to_RGs_maybe_something__.tex
almost 9 years ago
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%[Segue to RGs: maybe something about the unknown evolution of fields as
%stars evolve]
Both low-mass solar-like and intermediate-mass stars evolve to become
red giants when their hydrogen-core burning is exhausted. Red giants, like
the Sun, show a broad comb-like frequency spectrum of radial and non-radial
acoustic oscillation modes excited by turbulent surface convection [ref
deRidder].
The observed mode power across the spectrum has an overall bell-like
shape whose central frequency, \numax, decreases as a star expands during the
red giant evolution phase[REF Brown1991,KeplerObsPaper]. %[This 'frequency
%of maximum power' shows tight correlation with stellar surface gravity[REF
%Brown]].
The comb structure of the spectrum arises from a series of
overtone modes separated by the so-called large frequency separation for
each spherical degree, $l$. For observations of unresolved distant stars,
geometric cancellation prevents detection of modes with $l>3$.
Their spectra are therefore dominated by a pattern of radial ($l=0$) and
quadrupole ($l=2$) modes that form close pairs for each overtone with dipole
($l=1$) modes located roughly halfway between successive radial-quadrupole pairs,
with only a weak signal of octupole modes ($l=3$).
%Due to geometric cancellation for higher degree modes, only a weak signal
%of octapole modes are seen and no significant signal for $l>3$.
%[SHORT VERISON: The spectral comb structure arise from a series of
%overtone modes, and due to geometric cancellation of high spherical degree
%the frequency pattern is dominated by radial (l=0) and quadrupole (l=2) modes
%that form close pairs for each overtone with dipole (l=1) modes
%located roughly halfway in between. Generally, only a weak signal of
%octapole (l=3) modes are seen.]
The dipole modes have turned out to be particularly useful probes of
internal structure [REF Dupret2009/Montalban20??].
They have been used to
distinguish hydrogen-shell and helium-core burning stars [REF
Bedding2011/Stello2013/Mosser2014] and to measure radial differential rotation [REF
Beck12/Mosser2012]. This fortune arise because %[through resonance coupling where]
each acoustic non-radial envelope mode couple to multiple gravity
modes in the core forming several mixed modes %observable at the surface,
with frequencies observable in the vicinity of the acoustic mode.
This coupling is strongest for dipole modes making them the most useful
probes of the core [REF Unno/Dupret?].