Multiplicity dependence of $$\pi $$, K, and p production in pp collisions at $$\sqrt{s} = 13$$ TeV

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<jats:title>Abstract</jats:title><jats:p>This paper presents the measurements of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\pi ^{\pm }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>π</mml:mi><mml:mo>±</mml:mo></mml:msup></mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mathrm {K}^{\pm }$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mo>±</mml:mo></mml:msup></mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$\text {p}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>p</mml:mtext></mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\overline{\mathrm{p}} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math></jats:alternatives></jats:inline-formula> transverse momentum (<jats:inline-formula><jats:alternatives><jats:tex-math>$$p_{\text {T}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>p</mml:mi><mml:mtext>T</mml:mtext></mml:msub></mml:math></jats:alternatives></jats:inline-formula>) spectra as a function of charged-particle multiplicity density in proton–proton (pp) collisions at <jats:inline-formula><jats:alternatives><jats:tex-math>$$\sqrt{s}\ =\ 13\ \text {TeV}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>13</mml:mn><mml:mspace /><mml:mtext>TeV</mml:mtext></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> with the ALICE detector at the LHC. Such study allows us to isolate the center-of-mass energy dependence of light-flavour particle production. The measurements reported here cover a <jats:inline-formula><jats:alternatives><jats:tex-math>$$p_{\text {T}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>p</mml:mi><mml:mtext>T</mml:mtext></mml:msub></mml:math></jats:alternatives></jats:inline-formula> range from 0.1 to 20 <jats:inline-formula><jats:alternatives><jats:tex-math>$$\text {GeV}/c$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mtext>GeV</mml:mtext><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> and are done in the rapidity interval <jats:inline-formula><jats:alternatives><jats:tex-math>$$|y|<0.5$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>|</mml:mo><mml:mi>y</mml:mi><mml:mo>|</mml:mo><mml:mo><</mml:mo><mml:mn>0.5</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>. The <jats:inline-formula><jats:alternatives><jats:tex-math>$$p_{\text {T}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>p</mml:mi><mml:mtext>T</mml:mtext></mml:msub></mml:math></jats:alternatives></jats:inline-formula>-differential particle ratios exhibit an evolution with multiplicity, similar to that observed in pp collisions at <jats:inline-formula><jats:alternatives><jats:tex-math>$$\sqrt{s}\ =\ 7\ \text {TeV}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>7</mml:mn><mml:mspace /><mml:mtext>TeV</mml:mtext></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, which is qualitatively described by some of the hydrodynamical and pQCD-inspired models discussed in this paper. Furthermore, the <jats:inline-formula><jats:alternatives><jats:tex-math>$$p_{\text {T}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>p</mml:mi><mml:mtext>T</mml:mtext></mml:msub></mml:math></jats:alternatives></jats:inline-formula>-integrated hadron-to-pion yield ratios measured in pp collisions at two different center-of-mass energies are consistent when compared at similar multiplicities. This also extends to strange and multi-strange hadrons, suggesting that, at LHC energies, particle hadrochemistry scales with particle multiplicity the same way under different collision energies and colliding systems.</jats:p>

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