Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-01-21
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 2 figures,study about the second coherence length has been added
Scientific paper
It is pointed out that an agreement of the one particle energy spectrum of the cosmic background radiation (CMBR) with Plank distribution of 2.725 [K] does not give a strong constraint on the coherence length of CMBR if the mean free path of CMBR is very long. The coherence length in this situation is estimated as a few times of $k_BT$. Due to this finite coherence length, the attenuation length of ultra-high energy cosmic rays (UHECR) is reduced in the $\Delta $ resonance region,i.e., around $10^{20}$ [eV]. The small attenuation length makes the suppression of the flux of cosmic rays in this energy region less prominent than the naive estimation
Ishikawa Kenzo
Tobita Yutaka
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