We investigate the roles of two classes of quenching mechanisms for central
and satellite galaxies in the SDSS (z<0.075): those involving the halo and
those involving the formation of a compact centre. For central galaxies with
inner compactness Σ1kpc∼109−9.4M⊙kpc−2,
the quenched fraction fq is strongly correlated with Σ1kpc
with only weak halo mass Mh dependence. However, at higher and lower
Σ1kpc, sSFR is a strong function of Mh and mostly
independent of Σ1kpc. In other words, Σ1kpc∼109−9.4M⊙kpc−2 divides galaxies into those with high sSFR
below and low sSFR above this range. In both the upper and lower regimes,
increasing Mh shifts the entire sSFR distribtuion to lower sSFR
without a qualitative change in shape. This is true even at fixed M∗, but
varying M∗ at fixed Mh adds no quenching information. Most of the
quenched centrals with Mh>1011.8M⊙ are dense (Σ1kpc>109M⊙kpc−2), suggesting compaction-related
quenching maintained by halo-related quenching. However, 21% are diffuse,
indicating only halo quenching. For satellite galaxies in the outskirts of
halos, quenching is a strong function of compactness and a weak function of
host Mh. In the inner halo, Mh dominates quenching, with
∼90% of the satellites being quenched once Mh>1013M⊙. This regional effect is greatest for the least massive
satellites. As demonstrated via semi-analytic modelling with simple
prescriptions for quenching, the observed correlations can be explained if
quenching due to central compactness is rapid while quenching due to halo mass
is slow.Comment: 16 pages, 11 figures, MNRAS accepte