The Elusive p-air Cross Section
| dc.creator | Block, Martin M. | |
| dc.date | 2006-06-17 | |
| dc.date | 2006-06-21 | |
| dc.date.accessioned | 2026-07-07T10:41:45Z | |
| dc.date.available | 2026-07-07T10:41:45Z | |
| dc.description | For the $\pbar p$ and $pp$ systems, we have used all of the extensive data of the Particle Data Group[K. Hagiwara {\em et al.} (Particle Data Group), Phys. Rev. D 66, 010001 (2002).]. We then subject these data to a screening process, the ``Sieve'' algorithm[M. M. Block, physics/0506010.], in order to eliminate ``outliers'' that can skew a $χ^2$ fit. With the ``Sieve'' algorithm, a robust fit using a Lorentzian distribution is first made to all of the data to sieve out abnormally high $\delchi$, the individual i$^{\rm th}$ point's contribution to the total $χ^2$. The $χ^2$ fits are then made to the sieved data. We demonstrate that we cleanly discriminate between asymptotic $\ln s$ and $\ln^2s$ behavior of total hadronic cross sections when we require that these amplitudes {\em also} describe, on average, low energy data dominated by resonances. We simultaneously fit real analytic amplitudes to the ``sieved'' high energy measurements of $\bar p p$ and $pp$ total cross sections and $ρ$-values for $\sqrt s\ge 6$ GeV, while requiring that their asymptotic fits smoothly join the the $σ_{\bar p p}$ and $σ_{pp}$ total cross sections at $\sqrt s=$4.0 GeV--again {\em both} in magnitude and slope. Our results strongly favor a high energy $\ln^2s$ fit, basically excluding a $\ln s$ fit. Finally, we make a screened Glauber fit for the p-air cross section, using as input our precisely-determined $pp$ cross sections at cosmic ray energies. | |
| dc.description | 15 pages, 6 figures, 2 table,Paper delivered at c2cr2005 Conference, Prague, September 7-13, 2005. Fig. 2 was missing from V1. V3 fixes all figures | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0606186 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0606186 | |
| dc.identifier | Czech.J.Phys.56:A77-A90,2006 | |
| dc.identifier | doi:10.1007/s10582-006-0144-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/181721 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Astrophysics | |
| dc.title | The Elusive p-air Cross Section | |
| dc.type | text |