We report first results from a large project to measure black hole ( BH ) mass in high accretion rate active galactic nuclei ( AGNs ) .
Such objects may be different from other AGNs in being powered by slim accretion disks and showing saturated accretion luminosities , but both are not yet fully understood .
The results are part of a large reverberation mapping ( RM ) campaign using the 2.4-m Shangri-La telescope at the Yunnan Observatory in China .
The goals are to investigate the gas distribution near the BH and the properties of the central accretion disks , to measure BH mass and Eddington ratios , and to test the feasibility of using such objects as a new type of cosmological candles .
The paper presents results for three objects , Mrk 335 , Mrk 142 and IRAS F12397+3333 with H \beta time lags relative to the 5100Å continuum of 10.6 ^ { +1.7 } _ { -2.9 } , 6.4 ^ { +0.8 } _ { -2.2 } and 11.4 ^ { +2.9 } _ { -1.9 } days , respectively .
The corresponding BH masses are ( 8.3 _ { -3.2 } ^ { +2.6 } ) \times 10 ^ { 6 } M _ { \odot } , ( 3.4 _ { -1.2 } ^ { +0.5 } ) \times 10 ^ { 6 } M _ { \odot } and ( 7.5 _ { -4.1 } ^ { +4.3 } ) \times 10 ^ { 6 } M _ { \odot } , and the lower limits on the Eddington ratios 0.6 , 2.3 , and 4.6 for the minimal radiative efficiency of 0.038 .
Mrk 142 and IRAS F12397+333 ( extinction corrected ) clearly deviate from the currently known relation between H \beta lag and continuum luminosity .
The three Eddington ratios are beyond the values expected in thin accretion disks and two of them are the largest measured so far among objects with RM-based BH masses .
We briefly discuss implications for slim disks , BH growth and cosmology .