Abstract (data abstract)

The femtoscopic study of pairs of identical pions is particularly suited to investigate the effective source function of particle emission, due to the resulting Bose--Einstein correlation signal. In small collision systems at the LHC, pp in particular, the majority of the pions are produced in resonance decays, which significantly affect the profile and size of the source. In this work, we explicitly model this effect in order to extract the primordial source in pp collisions at $\sqrt{s}~=~13~$TeV from charged $\pi$$-$$\pi$ correlations measured by ALICE. We demonstrate that the assumption of a Gaussian primordial source is compatible with the data and that the effective source, resulting from modifications due to resonances, is approximately exponential, as found in previous measurements at the LHC. The universality of hadron emission in pp collisions is further investigated by applying the same methodology to characterize the primordial source of K$-$p pairs. The size of the primordial source is evaluated as a function of the transverse mass ($m_{\mathrm{T}}$) of the pairs, leading to the observation of a common scaling for both $\pi$$-$$\pi$ and K$-$p, suggesting a collective effect. Further, the present results are compatible with the $m_{\mathrm{T}}$ scaling of the $\mathrm{p\mbox{-}p}$ and p$-\Lambda$ primordial source measured by ALICE in high multiplicity pp collisions, providing compelling evidence for the presence of a common emission source for all hadrons in small collision systems at the LHC. This will allow the determination of the source function for any hadron--hadron pairs with high precision, granting access to the properties of the possible final-state interaction among pairs of less abundantly produced hadrons, such as strange or charmed particles.

Table 4a

Data from Figure 4 (top left panel)

10.17182/hepdata.152623.v1/t1

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV (1.2<$m_T$<1.4 GeV/$c^{2}$).
Table 4b

Data from Figure 2 (top right panel)

10.17182/hepdata.152623.v1/t2

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV (1.4<$m_T$<1.5 GeV/$c^{2}$).
Table 4c

Data from Figure 4 (bottom left panel)

10.17182/hepdata.152623.v1/t3

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV (1.5<$m_T$<1.8 GeV/$c^{2}$).
Table 4d

Data from Figure 4 (bottom right panel)

10.17182/hepdata.152623.v1/t4

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV (1.8<$m_T$<2.0 GeV/$c^{2}$).
Table 5Kp

Data from Figure 5, the $r_{\mathrm{core}}$ of the K$^+$p correlations in HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV

10.17182/hepdata.152623.v1/t5

Extracted radii from the fit as a function of \mt for the HM analysis of the K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm...
Table 5pipi

Data from Figure 5, the $r_{\mathrm{core}}$ of the $\uppi$--$\uppi$ correlations in HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV

10.17182/hepdata.152623.v1/t6

Extracted radii from the fit as a function of \mt for the HM analysis of the same sign $\uppi$--$\uppi$ $\oplus$...
Table 6 mult 1

Data from Figure 6, the $r_{\mathrm{core}}$ of the $\uppi$--$\uppi$ correlations in $1\leq N_{\mathrm{ch}} \leq 18$ pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t7

Extracted radii from the fit as a function of \mt for the MB analysis of the same sign $\uppi$--$\uppi$ $\oplus$...
Table 6 mult 2

Data from Figure 6, the $r_{\mathrm{core}}$ of the $\uppi$--$\uppi$ correlations in $19\leq N_{\mathrm{ch}} \leq 30$ pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t8

Extracted radii from the fit as a function of \mt for the MB analysis of the same sign $\uppi$--$\uppi$ $\oplus$...
Table 6 mult 3

Data from Figure 6, the $r_{\mathrm{core}}$ of the $\uppi$--$\uppi$ correlations in $N_{\mathrm{ch}}\geq~31$ pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t9

Extracted radii from the fit as a function of \mt for the MB analysis of the same sign $\uppi$--$\uppi$ $\oplus$...
Table A1 mult 1 kt 1

Data from Appendix 1, $\uppi$--$\uppi$ for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t10

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in...
Table A1 mult 1 kt 2

Data from Appendix 1, $\uppi$--$\uppi$ for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t11

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in...
Table A1 mult 1 kt 3

Data from Appendix 1, $\uppi$--$\uppi$ for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t12

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in...
Table A1 mult 1 kt 4

Data from Appendix 1, $\uppi$--$\uppi$ for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t13

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in...
Table A1 mult 1 kt 5

Data from Appendix 1, $\uppi$--$\uppi$ for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t14

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in...
Table A2 mult 2 kt 1

Data from Appendix 2, $\uppi$--$\uppi$ for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t15

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in...
Table A2 mult 2 kt 2

Data from Appendix 2, $\uppi$--$\uppi$ for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t16

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in...
Table A2 mult 2 kt 3

Data from Appendix 2, $\uppi$--$\uppi$ for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t17

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in...
Table A2 mult 2 kt 4

Data from Appendix 2, $\uppi$--$\uppi$ for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t18

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in...
Table A2 mult 2 kt 5

Data from Appendix 2, $\uppi$--$\uppi$ for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t19

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in...
Table A3 mult 3 kt 1

Data from Appendix 3, $\uppi$--$\uppi$ for $N_{\mathrm{ch}}\geq~31$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t20

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in MB pp collisions...
Table A3 mult 3 kt 2

Data from Appendix 3, $\uppi$--$\uppi$ for $N_{\mathrm{ch}}\geq~31$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t21

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in MB pp collisions...
Table A3 mult 3 kt 3

Data from Appendix 3, $\uppi$--$\uppi$ for $N_{\mathrm{ch}}\geq~31$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t22

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in MB pp collisions...
Table A3 mult 3 kt 4

Data from Appendix 3, $\uppi$--$\uppi$ for $N_{\mathrm{ch}}\geq~31$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t23

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in MB pp collisions...
Table A3 mult 3 kt 5

Data from Appendix 3, $\uppi$--$\uppi$ for $N_{\mathrm{ch}}\geq~31$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and event sphericiy $S_{\mathrm{T}}>$ 0.7

10.17182/hepdata.152623.v1/t24

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in MB pp collisions...
Table A4 HM kt 1

Data from Appendix 4, $\uppi$--$\uppi$ for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$

10.17182/hepdata.152623.v1/t25

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.15\leq k_{\mathrm{T}}...
Table A4 HM kt 2

Data from Appendix 4, $\uppi$--$\uppi$ for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$

10.17182/hepdata.152623.v1/t26

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.30\leq k_{\mathrm{T}}...
Table A4 HM kt 3

Data from Appendix 4, $\uppi$--$\uppi$ for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$

10.17182/hepdata.152623.v1/t27

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.90\leq k_{\mathrm{T}}...
Table A4 HM kt 4

Data from Appendix 4, $\uppi$--$\uppi$ for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$

10.17182/hepdata.152623.v1/t28

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.70\leq k_{\mathrm{T}}...
Table A4 HM kt 5

Data from Appendix 4, $\uppi$--$\uppi$ for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$

10.17182/hepdata.152623.v1/t29

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.90\leq k_{\mathrm{T}}...

Table 4a

Table 4b

Table 4c

Table 4d

Table 5Kp

Table 5pipi

Table 6 mult 1

Table 6 mult 2

Table 6 mult 3

Table A1 mult 1 kt 1

Table A1 mult 1 kt 2

Table A1 mult 1 kt 3

Table A1 mult 1 kt 4

Table A1 mult 1 kt 5

Table A2 mult 2 kt 1

Table A2 mult 2 kt 2

Table A2 mult 2 kt 3

Table A2 mult 2 kt 4

Table A2 mult 2 kt 5

Table A3 mult 3 kt 1

Table A3 mult 3 kt 2

Table A3 mult 3 kt 3

Table A3 mult 3 kt 4

Table A3 mult 3 kt 5

Table A4 HM kt 1

Table A4 HM kt 2

Table A4 HM kt 3

Table A4 HM kt 4

Table A4 HM kt 5

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