Elliptic anisotropy measurement of the f0(980) hadron in proton-lead collisions and evidence for its quark-antiquark composition

Abstract

Abstract Despite the f0(980) hadron having been discovered half a century ago, the question about its quark content has not been settled: it might be an ordinary quark-antiquark ( $${{\rm{q}}}\overline{{{\rm{q}}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> ) meson, a tetraquark ( $${{\rm{q}}}\overline{{{\rm{q}}}}{{\rm{q}}}\overline{{{\rm{q}}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> ) exotic state, a kaon-antikaon ( $${{\rm{K}}}\overline{{{\rm{K}}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>K</mml:mi> <mml:mover> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> ) molecule, or a quark-antiquark-gluon ( $${{\rm{q}}}\overline{{{\rm{q}}}}{{\rm{g}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>g</mml:mi> </mml:math> ) hybrid. This paper reports strong evidence that the f0(980) state is an ordinary $${{\rm{q}}}\overline{{{\rm{q}}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> meson, inferred from the scaling of elliptic anisotropies (v 2) with the number of constituent quarks (n q), as empirically established using conventional hadrons in relativistic heavy ion collisions. The f0(980) state is reconstructed via its dominant decay channel f0(980) → π + π −, in proton-lead collisions recorded by the CMS experiment at the LHC, and its v 2 is measured as a function of transverse momentum (p T). It is found that the n q = 2 ( $${{\rm{q}}}\overline{{{\rm{q}}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> state) hypothesis is favored over n q = 4 ( $${{\rm{q}}}\overline{{{\rm{q}}}}{{\rm{q}}}\overline{{{\rm{q}}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> or $${{\rm{K}}}\overline{{{\rm{K}}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>K</mml:mi> <mml:mover> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> states) by 7.7, 6.3, or 3.1 standard deviations in the p T &lt; 10, 8, or 6 GeV/c ranges, respectively, and over n q = 3 ( $${{\rm{q}}}\overline{{{\rm{q}}}}{{\rm{g}}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>g</mml:mi> </mml:math> hybrid state) by 3.5 standard deviations in the p T &lt; 8 GeV/c range. This result represents the first determination of the quark content of the f0(980) state, made possible by using a novel approach, and paves the way for similar studies of other exotic hadron candidates.