Erratum: Probing neutron-proton dynamics by pions [Phys. Rev. C 93, 044612 (2016)]

Figure 1

Revised version of Fig. 1 in the original paper. Incident energy dependence of the charged pion multiplicities in central Au + Au collisions. The two lines indicate the multiplicities of ${\pi }^{-}$ and ${\pi }^{+}$, respectively, calculated by JAM. The symbols represent the experimental data of the FOPI Collaboration [2].

Figure 2

Revised version of Fig. 2 in the original paper. Time evolution of the numbers of pions and $\mathrm{\Delta }$ resonances calculated by JAM for the central Au + Au collisions at 1 GeV/nucleon with the impact parameter $b=0$.

Figure 3

Revised version of Fig. 3 in the original paper. Time evolution of the neutron and proton densities in the central part of the system within the radius of 2 fm (upper) and the ratio of neutrons and protons (lower) in central collisions of ${}^{132}\mathrm{Sn}+{}^{124}\mathrm{Sn}$ at 300 MeV/nucleon. The left and middle panels show the results of AMD+JAM with clusters and without clusters, respectively. The right panels are for the simple JAM calculation. Two different lines (solid and dotted) correspond to the two different density dependences of the symmetry energy. The horizontal lines in the bottom panels represent the ratio of the total system ${(N/Z)}_{\mathrm{sys}}=1.56$.

Figure 4

Revised version of Fig. 4 in the original paper. Reaction rates of $\mathrm{\Delta }$ production (upper), $\mathrm{\Delta }$ absorption (middle), and the numbers of existing $\mathrm{\Delta }$ resonances and pions (lower) as functions of time in the AMD+JAM calculation with clusters (asy-soft) for central collisions of ${}^{132}\mathrm{Sn}+{}^{124}\mathrm{Sn}$ at 300 MeV/nucleon. For the production and absorption of ${\mathrm{\Delta }}^{+}$ and ${\mathrm{\Delta }}^0$, the line shows the sum of the reaction rates with a neutron ($N=n$) and with a proton ($N=p$).

Figure 5

Revised version of Fig. 5 in the original paper. The time evolution of the ${\pi }_{\text{like}}^{-}/{\pi }_{\text{like}}^{+}$ ratios in central collisions of ${}^{132}\mathrm{Sn}+{}^{124}\mathrm{Sn}$ at 300 MeV/nucleon in the five cases of calculation. The horizontal line represents the ${(N/Z)}_{\mathrm{sys}}^2$ ratio of the total system.

Figure 6

Revised version of Fig. 6 in the original paper. The time evolution of the ${\mathrm{\Delta }}^{-}/{\mathrm{\Delta }}^{++}$ ratio of the $\mathrm{\Delta }$ production rates. The five different lines show the calculations. The horizontal line represents the ${(N/Z)}_{\mathrm{sys}}^2$ ratio of the total system.

Figure 7

Revised version of Fig. 7 in the original paper. The time evolution of the squared ratio of neutron and proton ${(N/Z)}^2$. The left and right figures show the ${(N/Z)}^2$ ratio calculated for the nucleons in conditions (a) and (b), respectively. See the details in the text.

Figure 8

Revised version of Fig. 8 in the original paper. The nucleon ratios ${(N/Z)}_{\rho }^2$ and ${(N/Z)}_{\rho ,p}^2$ [Eq. (25) in our paper] in the high-density region without and with the high-momentum condition, respectively, the ${\mathrm{\Delta }}^{-}/{\mathrm{\Delta }}^{++}$ production ratio [Eq. (26) in the paper], the pionlike ratio at $t=20\mathrm{fm}/c$, and the final ${\pi }^{-}/{\pi }^{+}$ ratio. Each line connects the ratios for each of the five cases of calculation for central collisions of ${}^{132}\mathrm{Sn}+{}^{124}\mathrm{Sn}$ at 300 MeV/nucleon. The horizontal line represents the ${(N/Z)}_{\mathrm{sys}}^2$ ratio of the total system. The statistical uncertainties in the final ${\pi }^{-}/{\pi }^{+}$ ratio are smaller than 0.03.

Figure 9

Revised version of Fig. 9 in the original paper. Momentum distribution of ${\pi }^{-}$ and ${\pi }^{+}$ in the center-of-mass frame calculated with AMD+JAM with clusters for central collisions of ${}^{132}\mathrm{Sn}+{}^{124}\mathrm{Sn}$ at 300 MeV/nucleon. The left and right panels show the results with and without Coulomb force for pions, respectively.

Figure 10

Revised version of Fig. 10 in the original paper. The same as Fig. 9 but the ${\pi }^{-}/{\pi }^{+}$ spectral ratio is shown.