A high precision semi-analytic mass function

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-str...

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Bibliographic Details
Authors: Del Popolo, Antonino; Pace, Francesco; Le Delliou, Morgan [UNESP]
Format: Article
Status:Published version
Publication date:2017
Country:Brasil
Institution:UNESP
Repository:Repositório Institucional da UNESP
Language:English
OAI Identifier:oai:repositorio.unesp.br:11449/174432
Online Access:http://dx.doi.org/10.1088/1475-7516/2017/03/032
http://hdl.handle.net/11449/174432
Access Level:Open access
Keyword:dark matter theory
galaxy formation
Description
Summary: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-1Mo - 5 × 1014 h-1Mo 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-1Mo. Moreover, we discuss our MF validity for different cosmologies.