<p>We present the production systematics of open charm hadron yields in high-energy collisions and their description based on the Statistical Hadronization Model of charm (SHMc). The rapidity density of <i>D</i><sup>0</sup>, <i>D</i><sup>+</sup>, <i>D</i><sup>*+</sup>, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25932_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>D</mi> <mi>s</mi> <mo>+</mo> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {D}_s^{+} \)</EquationSource> </InlineEquation> mesons and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25932_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi mathvariant="normal">Λ</mi> <mi>c</mi> <mo>+</mo> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {\Lambda}_c^{+} \)</EquationSource> </InlineEquation> baryons in heavy ion and proton-proton collisions is analyzed for different collision energies and centralities. The SHMc is extended to open charm production in minimum-bias and high-multiplicity pp collisions. In this context, we use the link established in [<CitationRef CitationID="CR1">1</CitationRef>, <CitationRef CitationID="CR2">2</CitationRef>], between the rapidity density of open charm hadron yields, <i>dN</i><sub><i>i</i></sub>/<i>dy</i>, and the rapidity density of charm-anticharm quark pairs, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25932_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>d</mi> <msub> <mi>N</mi> <mrow> <mi>c</mi> <mover accent="true"> <mi>c</mi> <mo stretchy="true">¯</mo> </mover> </mrow> </msub> <mo>/</mo> <mi mathvariant="italic">dy</mi> </math></EquationSource> <EquationSource Format="TEX">\( d{N}_{c\overline{c}}/ dy \)</EquationSource> </InlineEquation>. We demonstrate that, in pp, pA and AA collisions, <i>dN</i><sub><i>i</i></sub>/<i>dy</i> scales in leading order with <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25932_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>d</mi> <msub> <mi>N</mi> <mrow> <mi>c</mi> <mover accent="true"> <mi>c</mi> <mo stretchy="true">¯</mo> </mover> </mrow> </msub> <mo>/</mo> <mi mathvariant="italic">dη</mi> </math></EquationSource> <EquationSource Format="TEX">\( d{N}_{c\overline{c}}/ d\eta \)</EquationSource> </InlineEquation> and for open charm mesons, <i>D</i><sup>0</sup>, <i>D</i><sup>+</sup> and <i>D</i><sup>*+</sup> the slope coefficient is quantified by the appropriate thermal density ratio calculated in the SHMc at the chiral crossover temperature, <i>T</i><sub><i>c</i></sub> = 156.5 MeV. The slope coefficient for <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25932_Article_IEq5.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="68" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>d</mi> <msub> <mi>N</mi> <msubsup> <mi mathvariant="normal">Λ</mi> <mi>c</mi> <mo>+</mo> </msubsup> </msub> <mo>/</mo> <mi mathvariant="italic">dy</mi> </math></EquationSource> <EquationSource Format="TEX">\( d{N}_{\Lambda_c^{+}}/ dy \)</EquationSource> </InlineEquation> differs at <i>T</i><sub><i>c</i></sub> by a factor of 1.97 ± 0.14 which is attributed to missing charmed-baryon resonances in the PDG. It is also shown that <i>dN</i><sub><i>i</i></sub>/<i>dy</i> exhibits power-law scaling with the charged-particle pseudo-rapidity density in high energy collisions and within uncertainties. Furthermore, presently available data on different ratios of open charm rapidity densities in high-energy collisions are independent of collision energy and system size, as expected in the SHMc.</p>

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Emergence of new systematics for open charm production in high energy collisions

  • Peter Braun-Munzinger,
  • Krzysztof Redlich,
  • Natasha Sharma,
  • Johanna Stachel

摘要

We present the production systematics of open charm hadron yields in high-energy collisions and their description based on the Statistical Hadronization Model of charm (SHMc). The rapidity density of D0, D+, D*+, D s + \( {D}_s^{+} \) mesons and Λ c + \( {\Lambda}_c^{+} \) baryons in heavy ion and proton-proton collisions is analyzed for different collision energies and centralities. The SHMc is extended to open charm production in minimum-bias and high-multiplicity pp collisions. In this context, we use the link established in [1, 2], between the rapidity density of open charm hadron yields, dNi/dy, and the rapidity density of charm-anticharm quark pairs, d N c c ¯ / dy \( d{N}_{c\overline{c}}/ dy \) . We demonstrate that, in pp, pA and AA collisions, dNi/dy scales in leading order with d N c c ¯ / \( d{N}_{c\overline{c}}/ d\eta \) and for open charm mesons, D0, D+ and D*+ the slope coefficient is quantified by the appropriate thermal density ratio calculated in the SHMc at the chiral crossover temperature, Tc = 156.5 MeV. The slope coefficient for d N Λ c + / dy \( d{N}_{\Lambda_c^{+}}/ dy \) differs at Tc by a factor of 1.97 ± 0.14 which is attributed to missing charmed-baryon resonances in the PDG. It is also shown that dNi/dy exhibits power-law scaling with the charged-particle pseudo-rapidity density in high energy collisions and within uncertainties. Furthermore, presently available data on different ratios of open charm rapidity densities in high-energy collisions are independent of collision energy and system size, as expected in the SHMc.