Capture rates of compact objects were calculated by using a recent solution of the Fokker-Planck equation in energy-space , including two-body resonant effects .
The fraction of compact objects ( white dwarfs , neutron stars and stellar black holes ) was estimated as a function of the luminosity of the galaxy from a new grid of evolutionary models .
Stellar mass densities at the influence radius of central supermassive black holes were derived from brightness profiles obtained by Hubble Space Telescope observations .
The present study indicates that the capture rates scale as \propto M _ { bh } ^ { -1.048 } , consequence of the fact that dwarf galaxies have denser central regions than luminous objects .
If the mass distribution of supermassive black holes has a lower cutoff at \sim 1.4 \times 10 ^ { 6 } M _ { \odot } ( corresponding to the lowest observed supermassive black hole mass , located in M32 ) , then 9 inspiral events are expected to be seen by LISA ( 7-8 corresponding to white dwarf captures and 1-2 to neutron star and stellar black hole captures ) after one year of operation .
However , if the mass distribution extends down to \sim 2 \times 10 ^ { 5 } M _ { \odot } , then the total number of expected events increases up to 579 ( corresponding to \sim 274 stellar black hole captures , \sim 194 neutron star captures and \sim 111 white dwarf captures ) .