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DOE OSTI · 22679974

A high precision semi-analytic mass function

Del Popolo, Antonino·Pace, Francesco
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Abstract

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 M {sub vir} = 5 × 10{sup 9} h {sup −1} M {sub ⊙}–−5 × 10{sup 14} h {sup −1} M {sub ⊙} 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 10{sup 12}–10{sup 16} h {sup −1} M {sub ⊙}. Moreover, we discuss our MF validity for different cosmologies.

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79 ASTRONOMY AND ASTROPHYSICSACCURACYANALYTIC FUNCTIONSANGULAR MOMENTUMCOMPARATIVE EVALUATIONSCOSMOLOGICAL CONSTANTCOSMOLOGYDIFFUSION BARRIERSFUNCTIONSINTERACTIONSMASSRED SHIFTSIMULATION

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Del Popolo, Antonino, Pace, Francesco. 2017-03-01. A high precision semi-analytic mass function. https://doi.org/10.1088/1475-7516%2F2017%2F03%2F032

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