The quest for the solar g modes
T.Appourchaux, K.Belkacem, A.M.Broomhall, W.J. Chaplin, D.O.Gough,, G.Houdek, J. Provost, F.Baudin, P.Boumier, Y.Elsworth, R.A.Garc\'ia,, B.Andersen, W.Finsterle, C.Fr\"ohlich, A.Gabriel, G.Grec, A.Jim\'enez,, A.Kosovichev, T.Sekii, T.Toutain, S.Turck-Chi\`eze

TL;DR
This paper reviews the theoretical background, detection efforts, and future prospects of solar gravity (g) modes, which could reveal the solar core's properties but remain undetected despite extensive research.
Contribution
It provides a comprehensive review of the current state of g-mode detection efforts, including theory, techniques, and future directions, highlighting the lack of confirmed detections.
Findings
No undisputed detection of solar g modes yet
Review of detection techniques and their limitations
Discussion of future prospects for unambiguous detection
Abstract
Solar gravity modes (or g modes) -- oscillations of the solar interior for which buoyancy acts as the restoring force -- have the potential to provide unprecedented inference on the structure and dynamics of the solar core, inference that is not possible with the well observed acoustic modes (or p modes). The high amplitude of the g-mode eigenfunctions in the core and the evanesence of the modes in the convection zone make the modes particularly sensitive to the physical and dynamical conditions in the core. Owing to the existence of the convection zone, the g modes have very low amplitudes at photospheric levels, which makes the modes extremely hard to detect. In this paper, we review the current state of play regarding attempts to detect g modes. We review the theory of g modes, including theoretical estimation of the g-mode frequencies, amplitudes and damping rates. Then we go on to…
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