A high precision semi-analytic mass function
A. Del Popolo, F. Pace, M. Le Delliou
In this paper, extending past works of Del Popolo, we show how a high precision mass function (MF) can be obtained using the excursion set approach and an improved barrier taking implicitly into account a non-zero cosmological constant, the angular momentum acquired by tidal interaction of proto-structures and dynamical friction. In the case of the ΛCDM paradigm, we find that our MF is in agreement at the 3% level to Klypin's Bolshoi simulation, in the mass range Mvir = 5 × 109 h−1M⊙–−5 × 1014 h−1M⊙ and redshift range 0≲z≲10. For z=0 we also compared our MF to several fitting formulae, and found in particular agreement with Bhattacharya's within 3% in the mass range 1012–1016 h−1M⊙. Moreover, we discuss our MF validity for different cosmologies.
Astrophysics - Cosmology and Nongalactic Astrophysics
Journal of Cosmology and Astroparticle Physics
Volume 2017, Issue 032, Page 26
>> ADS>> DOI