Distributions of (left) invariant mass and (right) pseudoproper time for (upper) $\psi {(2S)}$ and (lower) $ { J \mskip -3mu/\mskip -2mu\psi }$ candidates in the bin $2< p_{\mathrm{T}} <3\text{ Ge V /}c $ and $2.5<y^*<3.25$. The data are overlaid with the fit results.

Ratio of $ { J \mskip -3mu/\mskip -2mu\psi }$ to $\psi {(2S)}$ total efficiencies as a function of the quarkonium $ p_{\mathrm{T}}$ in different $y^*$ intervals for (left) $p$Pb and (right) Pb$p$ collisions.

Ratio of prompt $\psi {(2S)}$ to prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ production cross-section in (left) $p$Pb and (right) Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ for the different rapidity intervals. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Ratio of nonprompt $\psi {(2S)}$ to nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ production cross-section in (left) $p$Pb and (right) Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ for the different rapidity intervals. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Ratio of prompt $\psi {(2S)}$ to prompt $ { J \mskip -3mu/\mskip -2mu\psi }$ production cross-sections in (left) $p$Pb collisions, integrated over $1.5<y^*<4.0$, and (right) Pb$p$ collisions, integrated over $-5.0<y^*<-2.5$, as a function of $ p_{\mathrm{T}}$ . Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Ratio of nonprompt $\psi {(2S)}$ to nonprompt $ { J \mskip -3mu/\mskip -2mu\psi }$ production cross-section in (left) $p$Pb collisions, integrated over $1.5<y^*<4.0$, and (right) Pb$p$ collisions, integrated over $-5.0<y^*<-2.5$, as a function of $ p_{\mathrm{T}}$ . Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Ratio of (left) prompt and (right) nonprompt $\psi {(2S)}$ to $ { J \mskip -3mu/\mskip -2mu\psi }$ production cross-section, as a function of rapidity, integrated over $ p_{\mathrm{T}}$ . Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Absolute prompt $\psi {(2S)}$ production cross-section in (left) $p$Pb and (right) Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ for the different rapidity intervals. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Absolute nonprompt $\psi {(2S)}$ production cross-section in (left) $p$Pb and (right) Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ for the different rapidity intervals. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Absolute production cross-section as a function of $ p_{\mathrm{T}}$ for (top left) prompt $\psi {(2S)}$ in $p$Pb collisions, integrated over $1.5<y^*<4.0$, (top right) prompt $\psi {(2S)}$ in Pb$p$ collisions, integrated over $-5.0<y^*<-2.5$, (bottom left) nonprompt $\psi {(2S)}$ in $p$Pb collisions, integrated over $1.5<y^*<4.0$, (bottom right) nonprompt $\psi {(2S)}$ in Pb$p$ collisions, integrated over $-5.0<y^*<-2.5$. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Nuclear modification factor as a function of $ p_{\mathrm{T}}$ , for (top left) prompt $\psi {(2S)}$ in $p$Pb collisions, integrated over $1.5<y^{*}<4.0$, (top right) prompt $\psi {(2S)}$ in Pb$p$ collisions, integrated over $-5.0<y^{*}<-2.5$, (bottom left) nonprompt $\psi {(2S)}$ in $p$Pb collisions, integrated over $1.5<y^{*}<4.0$, and (bottom right) nonprompt $\psi {(2S)}$ in Pb$p$ collisions, integrated over $-5.0<y^{*}<-2.5$. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Forward-to-backward ratio as a function of $ p_{\mathrm{T}}$ and integrated over $2.5<|y^{*}|<4.0$ for (top left) prompt and (top right) nonprompt $\psi {(2S)}$ ; as a function of $y^*$ and integrated over $ p_{\mathrm{T}}$ for (bottom left) prompt and (bottom right) nonprompt $\psi {(2S)}$ as a function of $ p_{\mathrm{T}}$ . Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Cross-section double ratios $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ as a function of $ p_{\mathrm{T}} $ for (top left) prompt production in $p$Pb collisions, integrated over $1.5<y^*<4.0$, (top right) prompt production in Pb$p$ collisions, integrated over $-5.0<y^*<-2.5$, (bottom left) nonprompt production in $p$Pb collisions, integrated over $1.5<y^*<4.0$, (bottom right) nonprompt production in Pb$p$ collisions, integrated over $-5.0<y^*<-2.5$. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Cross-section double ratios $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ as a function of $y^{*}$, for (left) prompt and (right) nonprompt production. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Cross-section double ratios $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ as a function of $y^{*}$, for (left) prompt and (right) nonprompt production. The green triangles with error bars correspond to the LHCb measurement at 5 $\text{ Te V}$ [45]. Horizontal error bars are the bin widths, vertical error bars represent the statistical and total uncertainties.

Prompt cross-section double ratios $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ (left) as a function of $ p_{\mathrm{T}}$ and integrated over $1.5<y^*<4.0$, and (right) as a function of $y^{*}$ and integrated over $ p_{\mathrm{T}}$ , compared with a CGC soft gluon interaction model with a scale (green) $\Lambda=10\text{ Me V} $ and (blue) $\Lambda=20\text{ Me V} $ and a (red) comover model (only for the $y^*$ dependence). Horizontal error bars are the bin widths, vertical error bars the statistical and total uncertainties.

Animated gif made out of all figures.

Summary of relative systematic uncertainties in $p$Pb and Pb$p$ collisions on the ratio of $\psi {(2S)}$ to $ { J \mskip -3mu/\mskip -2mu\psi }$ cross-sections for prompt and nonprompt production. Uncertainties that are computed bin-by-bin are expressed as ranges from the minimum to maximum values. All uncertainties are assumed to be fully correlated between bins, apart from the uncertainty arising from the simulation sample size. Values are expressed as percentage.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ prompt production in $p$Pb collisions. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ prompt production in Pb$p$ collisions. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ nonprompt production in $p$Pb collisions. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ nonprompt production in Pb$p$ collisions. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ prompt production in $p$Pb collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ prompt production in Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ nonprompt production in $p$Pb collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ nonprompt production in Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ prompt production, as a function of $y^*$, integrated over $ p_{\mathrm{T}}$ . The first uncertainty is statistical and the second systematic.

Cross-section ratios of $\psi {(2S)}$ over $ { J \mskip -3mu/\mskip -2mu\psi }$ nonprompt production, as a function of $y^*$, integrated over $ p_{\mathrm{T}}$ . The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ prompt production cross-section in $p$Pb collisions. The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ prompt production cross-section in Pb$p$ collisions. The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ nonprompt production cross-section in $p$Pb collisions. The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ nonprompt production cross-section in Pb$p$ collisions. The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ prompt production cross-section in $p$Pb collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ prompt production cross-section in Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ nonprompt production cross-section in $p$Pb collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Absolute $\psi {(2S)}$ nonprompt production cross-section in Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Prompt $\psi {(2S)}$ modification factor $R_{p{\rm Pb}}$ in $p$Pb collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Prompt $\psi {(2S)}$ modification factor $R_{p{\rm Pb}}$ in Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Nonprompt $\psi {(2S)}$ modification factor $R_{p{\rm Pb}}$ in $p$Pb collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Nonprompt $\psi {(2S)}$ modification factor $R_{p{\rm Pb}}$ in Pb$p$ collisions, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Prompt $\psi {(2S)}$ forward to backward ratio $R_{\rm FB}$, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Nonprompt $\psi {(2S)}$ forward to backward ratio $R_{\rm FB}$, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Prompt $\psi {(2S)}$ forward to backward ratio $R_{\rm FB}$, as a function of $y^*$, integrated over $ p_{\mathrm{T}}$ . The first uncertainty is statistical and the second systematic.

Nonprompt $\psi {(2S)}$ forward to backward ratio $R_{\rm FB}$, as a function of $y^*$, integrated over $ p_{\mathrm{T}}$ . The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ in $p$Pb collisions for prompt production, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ in Pb$p$ collisions for prompt production, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ in $p$Pb collisions for nonprompt production, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ in Pb$p$ collisions for nonprompt production, as a function of $ p_{\mathrm{T}}$ , integrated over $y^*$. The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ for prompt production, as a function of $y^*$, integrated over $ p_{\mathrm{T}}$ . The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ for nonprompt production, as a function of $y^*$, integrated over $ p_{\mathrm{T}}$ . The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ for prompt production, integrated over $ p_{\mathrm{T}}$ and $y^*$. The first uncertainty is statistical and the second systematic.

Double ratio $R_{\psi {(2S)} / { J \mskip -3mu/\mskip -2mu\psi } }^{p{\rm Pb}}$ for nonprompt production, integrated over $ p_{\mathrm{T}}$ and $y^*$. The first uncertainty is statistical and the second systematic.