Calculation of momentum correlation functions between π, K , and p for several heavy-ion collision systems at sNN</mml…

Momentum correlation functions between <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>π</a:mi><a:mo>,</a:mo><a:mo> </a:mo><a:mi>K</a:mi></a:math>, and <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mi>p</b:mi></b:math> are calculated for several heavy-ion collision systems, namely <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mrow><c:mmultiscripts><c:mi mathvariant="normal">B</c:mi><c:mprescripts/><c:mn>5</c:mn><c:mn>10</c:mn></c:mmultiscripts><c:mo>+</c:mo><c:mmultiscripts><c:mi mathvariant="normal">B</c:mi><c:mprescripts/><c:mn>5</c:mn><c:mn>10</c:mn></c:mmultiscripts></c:mrow><c:mo>,</c:mo><c:mo> </c:mo><c:mrow><c:mmultiscripts><c:mi mathvariant="normal">O</c:mi><c:mprescripts/><c:mn>8</c:mn><c:mn>16</c:mn></c:mmultiscripts><c:mo>+</c:mo><c:mmultiscripts><c:mi mathvariant="normal">O</c:mi><c:mprescripts/><c:mn>8</c:mn><c:mn>16</c:mn></c:mmultiscripts></c:mrow><c:mo>,</c:mo><c:mo> </c:mo><c:mrow><c:mmultiscripts><c:mi mathvariant="normal">Ca</c:mi><c:mprescripts/><c:mn>20</c:mn><c:mn>40</c:mn></c:mmultiscripts><c:mo>+</c:mo><c:mmultiscripts><c:mi mathvariant="normal">Ca</c:mi><c:mprescripts/><c:mn>20</c:mn><c:mn>40</c:mn></c:mmultiscripts></c:mrow></c:math>, and <j:math xmlns:j="http://www.w3.org/1998/Math/MathML"><j:mrow><j:mmultiscripts><j:mi mathvariant="normal">Au</j:mi><j:mprescripts/><j:mn>79</j:mn><j:mn>197</j:mn></j:mmultiscripts><j:mo>+</j:mo><j:mmultiscripts><j:mi mathvariant="normal">Au</j:mi><j:mprescripts/><j:mn>79</j:mn><j:mn>197</j:mn></j:mmultiscripts></j:mrow></j:math> in central collisions as well as <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mmultiscripts><m:mi mathvariant="normal">Au</m:mi><m:mprescripts/><m:mn>79</m:mn><m:mn>197</m:mn></m:mmultiscripts><m:mo>+</m:mo><m:mmultiscripts><m:mi mathvariant="normal">Au</m:mi><m:mprescripts/><m:mn>79</m:mn><m:mn>197</m:mn></m:mmultiscripts></m:mrow></m:math> collision in different centralities at center-of-mass energy <p:math xmlns:p="http://www.w3.org/1998/Math/MathML"><p:msqrt><p:msub><p:mi>s</p:mi><p:mrow><p:mi>N</p:mi><p:mi>N</p:mi></p:mrow></p:msub></p:msqrt><p:mo>=</p:mo><p:mn>39</p:mn></p:math> GeV within the framework of a multiphase transport model complemented by the Lednický and Lyuboshitz analytical method. The results present the centrality and system-size dependence of the momentum correlation functions among pairs of <q:math xmlns:q="http://www.w3.org/1998/Math/MathML"><q:mi>π</q:mi><q:mo>,</q:mo><q:mo> </q:mo><q:mi>K</q:mi></q:math>, and <r:math xmlns:r="http://www.w3.org/1998/Math/MathML"><r:mi>p</r:mi></r:math>, from which the emission source-size can be deduced. It is found that the deduced source sizes increase with the decreasing of centrality for Au <s:math xmlns:s="http://www.w3.org/1998/Math/MathML"><s:mo>+</s:mo></s:math> Au system or with the increasing of system size in central collisions with different nuclear size. In addition, through the momentum correlation functions of nonidentical particle pairs gated on velocity, the average emission sequence of nonidentical particles can be indicated. The results illustrate that in the small relative momentum region, protons are emitted in average earlier than <t:math xmlns:t="http://www.w3.org/1998/Math/MathML"><t:msup><t:mi>π</t:mi><t:mo>+</t:mo></t:msup></t:math> and <u:math xmlns:u="http://www.w3.org/1998/Math/MathML"><u:msup><u:mi>K</u:mi><u:mo>+</u:mo></u:msup></u:math>, and <v:math xmlns:v="http://www.w3.org/1998/Math/MathML"><v:msup><v:mi>K</v:mi><v:mo>+</v:mo></v:msup></v:math> are emitted averagely earlier than <w:math xmlns:w="http://www.w3.org/1998/Math/MathML"><w:msup><w:mi>π</w:mi><w:mo>+</w:mo></w:msup></w:math>. Furthermore, it seems that larger interval of the average emission order among them is exhibited for smaller collision systems. The present study sheds light on the dynamics of light particle emission at RHIC energy. Published by the American Physical Society 2024