We present period-luminosity relations for more than 23,000 red giants in the
Large Magellanic Cloud observed by the OGLE-II microlensing project. The OGLE
period values were combined with the 2MASS single-epoch JHK photometric data.
For the brighter stars we find agreement with previous results (four different
sequences corresponding to different modes of pulsation in AGB stars). We also
discovered two distinct and well-separated sequences below the tip of the Red
Giant Branch. They consist of almost 10,000 short-period (15 d <P< 50 d),
low-amplitude (A_I<0.04 mag) red variable stars, for which we propose that a
significant fraction is likely to be on the Red Giant Branch, showing radial
pulsations in the second and third overtone modes. The excitation mechanism
could be either Mira-like pulsation or solar-like oscillations driven by
convection.Comment: 5 pages, 4 figures; accepted for publication in MNRAS (Pink Pages);
proof corrections adde