“Gaisser–Hillas function”的意思、由来-开放百科全书

词条

Gaisser–Hillas function

释义

References

The Gaisser–Hillas function is used in astroparticle physics. It parameterizes the longitudinal particle density in a cosmic ray air shower. The function was proposed in 1977 by Thomas K. Gaisser and Anthony Michael Hillas.^[1]

The number of particles as a function of traversed atmospheric depth is expressed as

where is maximum number of particles observed at depth , and and are primary mass and energy dependent parameters.

Using substitutions

, {{spaces|5}}

{{spaces|5}} and {{spaces|5}}

the function can be written in an alternative one-parametric (m) form^[2] as

References

1. ^{{cite book |author=Hillas, A. M. |authorlink= |editor= |others= |title=Cosmic rays |edition= |language= |publisher=Pergamon Press |location=New York |date=1972 |origyear= |pages= |quote= |isbn=978-0-08-016724-4 |oclc= |doi= |url= |accessdate=}}
2. ^{{cite journal |authorlink= |title= Lambert W Function for Applications in Physics|date= 2012|version= |accessdate= |author1= Darko Veberic |doi= 10.1016/j.cpc.2012.07.008 |journal= Computer Physics Communications |volume= 183 |issue= 12 |pages= 2622–2628|arxiv=1209.0735 |bibcode= 2012CoPhC.183.2622V}}

{{refbegin}}{{cite conference
| last = Gaisser
| first = T.K.
| author2 = Hillas, A.M.
| title = Reliability of the method of constant intensity cuts for reconstructing the average development of vertical showers
| journal =
| booktitle = Proc. of 15th Int. Cosmic Ray Conf., 13–26 Aug 1977
| place = Plovdiv, Bulgaria
| date = 1977
| volume = 8
| pages = 353
| bibcode = 1977ICRC....8..353G{{refend}}{{DEFAULTSORT:Gaisser-Hillas function}}{{Physics-stub}}

1 : Cosmic rays

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