cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.15468/dl.n3v8xa
title: Occurrence Download

description: A dataset containing 1095 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Continent is South America",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "TaxonKey is Ullucus tuberosus"
 ]
}

 The dataset includes 1095 records from 26 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0015873-251025141854904/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.17182/hepdata.101356.v1/t52
title: "ratio p 10 pbar 10" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t53
title: "ratio p 10 pbar 20" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t54
title: "ratio p 10 pbar 40" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t55
title: "ratio p 20 pbar 10" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t56
title: "ratio p 20 pbar 20" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t59
title: "ratio p 40 pbar 10" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t60
title: "ratio p 40 pbar 20" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t38
title: "Without CBWC 10% step width at 7.7 GeV" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: $C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7 GeV as a function of $N_{part}$.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t44
title: "Without CBWC 5% step width at 19.6 GeV" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: $C_{n}$ of net-proton distribution in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 GeV as a function of $N_{part}$.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t62
title: "ratio p 40 pbar 5" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t63
title: "embedding p 10 pbar 10" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.
DOI: 10.17182/hepdata.101356.v1/t64
title: "embedding p 10 pbar 20" of "Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at RHIC"

description: Distribution of reconstructed protons from embedding simulations in 200 GeV top 2.5%-central Au+Au collisions.
description: We report a systematic measurement of cumulants, $C_{n}$, for net-proton, proton and antiproton, and correlation functions, $\kappa_n$, for proton and antiproton multiplicity distributions up to the fourth order in Au+Au collisions at $\sqrt{s_{\mathrm {NN}}}$ = 7.7, 11.5, 14.5, 19.6, 27, 39, 54.4, 62.4 and 200 GeV. The $C_{n}$ and $\kappa_n$ are presented as a function of collision energy, centrality and kinematic acceptance in rapidity, $y$, and transverse momentum, $p_{T}$. The data were taken during the first phase of the Beam Energy Scan (BES) program (2010 -- 2017) at the Relativistic Heavy Ion Collider (RHIC) facility. The measurements are carried out at midrapidity ($|y| &lt;$ 0.5) and transverse momentum 0.4 $&lt;$ $p_{\rm T}$ $&lt;$ 2.0 GeV/$c$, using the STAR detector at RHIC. We observe a non-monotonic energy dependence ({\snn} = 7.7 -- 62.4 GeV) of the net-proton $C_{4}$/$C_{2}$ with the significance of 3.1$\sigma$ for the 0-5\% central Au+Au collisions. This is consistent with the expectations of critical fluctuations in a QCD-inspired model. Thermal and transport model calculations show a monotonic variation with \snn. For the multiparticle correlation functions, we observe significant negative values for a two-particle correlation function, $\kappa_2$, of protons and antiprotons, which are mainly due to the effects of baryon number conservation. Furthermore, it is found that the four-particle correlation function, $\kappa_4$, of protons plays a role in determining the energy dependence of proton $C_4/C_1$ below 19.6 GeV, which cannot be solely understood by the negative values of $\kappa_2$ for protons.