  Particle-hole continuum in Dirac sea of graphene has a unique window
underneath,which in principle leaves a room for bound state formation in the
triplet particle hole channel [Phys. Rev. Lett. {\bf 89}, 016402 (2002)]. In
this work, we construct appropriate triplet particle-hole operators, and using
a repulsive Hubbard type effective interaction, we employ equations of motions
to derive approximate eigen-value equation for such triplet operators. While
the secular equation for the spin density fluctuations gives rise to an
equation which is second order in the strength of the short range interaction,
the explicit construction of the triplet operators obtained here shows that in
terms of these operators, the second order can be factorized to two first order
equations, one of which gives rise to a solution below the particle-hole
continuum of Dirac electrons in undoped graphene.
