Erratum to: Total pion–proton cross section from the new LHCf data on leading neutrons spectra

1 Erratum to: Eur. Phys. J. C (2017) 77:114 https://doi.org/10.1140/epjc/s10052-017-4690-3

The LHCf data on $\mathrm{d}\sigma _n/\mathrm{d}E_n$ were considered in three rapidity ranges:

$$\begin{aligned} \eta >10.76,\; 8.99<\eta<9.22,\; 8.81<\eta <8.99. \end{aligned}$$

(1)

On the page 3 of the article it was written, that we can use second and third regions, since |t| values in these regions are of the order of $m_{\pi }^2$. This is not correct, since $|t|\sim 0.4\rightarrow 1\;\mathrm {GeV}^2$. In calculations of the Table 1 edge values of physical region in |t| were used in the computer program instead of real |t| values by mistake.

After more rigorous analysis resuls are following:

• we have to use the first region, where $\eta >10.76$ and real |t| values are of the order of $m_{\pi }^2$;

• in the article Figs. 3, 6 and the Table 1 should be replaced by new ones (see below).

Additional errors in $\sigma _{\pi p}$ due to model dependance in the background estimations are not taken into account.

Fig. 3

Rescattering corrections multiplied by formfactors for $\sqrt{s}=7$ TeV ($\tilde{S}(s,\;\xi )$) integrated in the whole t regions of the LHCf data [19]: $\eta >10.76$. Dotted vertical lines mark $\xi =0.107,0.179,0.25$, which are used to extract $\sigma _{\pi p}$ cross-sections

Fig. 6

Extracted total $\pi ^+p$ cross-sections presented in the Table 1 versus different parametrizations: [34] (solid), [35] (dashed), [36] (dotted) and [37, 38] (dash-dotted). The interval of t related to the $\eta$ region of the LHCf is $\eta >10.76$

Table 1 Values of the $\pi p$ total cross-sections extracted from the LHCf data [19] and also depicted in the Fig. 6. Corresponding average |t| values and $q_0$ ($q_t<q_0$) are also shown. Backgrounds from $\rho$ and $a_2$ exchanges are taken into account