Evidence of isospin-symmetry violation in high-energy collisions of atomic nuclei.

NA61/SHINE Collaboration; Giacosa, F; Gorenstein, M; Poberezhniuk, R; Samanta, S · Nat Commun · 2025

basic_science · Level V

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Abstract

Strong interactions preserve an approximate isospin symmetry between up (u) and down (d) quarks, part of the more general flavor symmetry. In the case of K meson production, if this isospin symmetry were exact, it would result in equal numbers of charged (K<sup>+</sup> and K<sup>-</sup>) and neutral (K<sup>0</sup> and <math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mrow> <mover><mrow><mi>K</mi></mrow> <mo>¯</mo></mover> </mrow> <mrow><mn>0</mn></mrow> </msup> </math> ) mesons produced in collisions of isospin-symmetric atomic nuclei. Here, we report results on the relative abundance of charged over neutral K meson production in argon and scandium nuclei collisions at a center-of-mass energy of 11.9 GeV per nucleon pair. We find that the production of K<sup>+</sup> and K<sup>-</sup> mesons at mid-rapidity is (18.4 ± 6.1)% higher than that of the neutral K mesons. Although with large uncertainties, earlier data on nucleus-nucleus collisions in the collision center-of-mass energy range <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.6</mn> <mspace></mspace> <mo><</mo> <mspace></mspace> <msqrt> <mrow> <msub><mrow><mi>s</mi></mrow> <mrow><mi>N</mi> <mi>N</mi></mrow> </msub> </mrow> </msqrt> <mspace></mspace> <mo><</mo> <mspace></mspace> <mn>200</mn></math> GeV are consistent with the present result. Using well-established models for hadron production, we demonstrate that known isospin-symmetry breaking effects and the initial nuclei containing more neutrons than protons lead only to a small (few percent) deviation of the charged-to-neutral kaon ratio from unity at high energies. Thus, they cannot explain the measurements. The significance of the flavor-symmetry violation beyond the known effects is 4.7σ when the compilation of world data with uncertainties quoted by the experiments is used. New systematic, high-precision measurements and theoretical efforts are needed to establish the origin of the observed large isospin-symmetry breaking.