Evidence of isospin-symmetry violation in high-energy collisions of atomic nuclei
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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mover><mml:mrow><mml:mi>K</mml:mi></mml:mrow> <mml:mo>¯</mml:mo></mml:mover> </mml:mrow> <mml:mrow><mml:mn>0</mml:mn></mml:mrow> </mml:msup> </mml: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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>2.6</mml:mn> <mml:mspace></mml:mspace> <mml:mo><</mml:mo> <mml:mspace></mml:mspace> <mml:msqrt> <mml:mrow> <mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow> <mml:mrow><mml:mi>N</mml:mi> <mml:mi>N</mml:mi></mml:mrow> </mml:msub> </mml:mrow> </mml:msqrt> <mml:mspace></mml:mspace> <mml:mo><</mml:mo> <mml:mspace></mml:mspace> <mml:mn>200</mml:mn></mml: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.
Authors
- V. Golovatyuk
- O. Wyszyński (ORCID: https://orcid.org/0000-0002-6652-0450)
- P. von Doetinchem (ORCID: https://orcid.org/0000-0002-7801-3376)
- R. Engel (ORCID: https://orcid.org/0000-0003-2924-8889)
- R. Szukiewicz (ORCID: https://orcid.org/0000-0002-1291-4040)
- G. I. Lykasov (ORCID: https://orcid.org/0000-0002-1544-6959)
- M. Rumyantsev (ORCID: https://orcid.org/0000-0001-8233-2030)
- H. Adhikary (ORCID: https://orcid.org/0000-0002-5746-1268)
- I. Pidhurskyi (ORCID: https://orcid.org/0000-0001-9916-9436)
- P. Staszel (ORCID: https://orcid.org/0000-0003-4002-1626)
- Ł. Rozpłochowski (ORCID: https://orcid.org/0000-0003-3680-6738)
- A. Ivashkin (ORCID: https://orcid.org/0000-0003-4595-5866)
- Ł. Świderski (ORCID: https://orcid.org/0000-0001-5857-2085)
- B. T. Rumberger (ORCID: https://orcid.org/0000-0002-4867-945X)
- M. Gaździcki (ORCID: https://orcid.org/0000-0002-6114-8223)
- M. Buryakov (ORCID: https://orcid.org/0009-0008-2394-4967)
- K. Schmidt (ORCID: https://orcid.org/0000-0002-0903-5790)
- A. Shukla (ORCID: https://orcid.org/0000-0003-3839-7229)
- M. Roth (ORCID: https://orcid.org/0000-0003-1281-4477)
- P. Podlaski (ORCID: https://orcid.org/0000-0002-0232-9841)
- M. Strikhanov (ORCID: https://orcid.org/0000-0003-2586-0405)
- A. Zaitsev (ORCID: https://orcid.org/0000-0003-4711-9925)
- F. Guber (ORCID: https://orcid.org/0000-0001-8790-3218)
- E. Zherebtsova (ORCID: https://orcid.org/0000-0002-1364-0969)
- M. M. Kielbowicz (ORCID: https://orcid.org/0000-0002-4403-9201)
- A. Rustamov (ORCID: https://orcid.org/0000-0001-8678-6400)
- J. Brzychczyk (ORCID: https://orcid.org/0000-0001-5320-6748)
- T. Šuša (ORCID: https://orcid.org/0000-0001-7430-2552)
- M. Słodkowski (ORCID: https://orcid.org/0000-0003-0463-2753)
- A. Olivier (ORCID: https://orcid.org/0000-0003-4261-8303)
- Darko Veberič (ORCID: https://orcid.org/0000-0003-2683-1526)
- M. Urbaniak (ORCID: https://orcid.org/0000-0002-9768-030X)
- H. Ströbele
- V. Vechernin (ORCID: https://orcid.org/0000-0003-1458-8055)
- Y. Balkova (ORCID: https://orcid.org/0000-0002-6957-573X)
- Evgeny Andronov (ORCID: https://orcid.org/0000-0003-0437-9292)
- L. Ren (ORCID: https://orcid.org/0000-0003-1709-7673)
- M. P. Lewicki (ORCID: https://orcid.org/0000-0002-8972-3066)
- V. Paolone (ORCID: https://orcid.org/0000-0003-2162-0957)
- D. Pszczel (ORCID: https://orcid.org/0000-0002-4697-6688)
- Y. Bondar (ORCID: https://orcid.org/0000-0003-2773-9668)
- P. Seyboth (ORCID: https://orcid.org/0000-0002-4821-6105)
- Y. Nagai (ORCID: https://orcid.org/0000-0002-1792-5005)
- M. Rybczyński (ORCID: https://orcid.org/0000-0002-3638-3766)
- E. Kashirin (ORCID: https://orcid.org/0000-0001-6062-7997)
- M. Naskręt (ORCID: https://orcid.org/0000-0002-5634-6639)
- Francesco Giacosa (ORCID: https://orcid.org/0000-0002-7290-9366)
- Y. Shiraishi
- T. Matulewicz (ORCID: https://orcid.org/0000-0003-2098-1216)
- M. Kuich (ORCID: https://orcid.org/0000-0002-6507-8699)
- Д. С. Прохорова (ORCID: https://orcid.org/0000-0003-3726-9196)
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- W. Bryliński (ORCID: https://orcid.org/0000-0002-3457-6601)
- D. Rybka (ORCID: https://orcid.org/0000-0002-9924-6398)
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- M. Friend (ORCID: https://orcid.org/0000-0003-4660-4670)
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- A. Zviagina (ORCID: https://orcid.org/0009-0007-5211-6493)
- B. Kozłowski (ORCID: https://orcid.org/0000-0001-8442-2320)
- G. L. Melkumov (ORCID: https://orcid.org/0009-0004-2074-6755)
- B. Pórfy (ORCID: https://orcid.org/0000-0001-5724-9737)
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- V. Z. Reyna Ortiz
- B. Popov (ORCID: https://orcid.org/0000-0001-5416-9301)
- Roman V. Poberezhnyuk (ORCID: https://orcid.org/0000-0002-5559-3718)
- K. K. Allison (ORCID: https://orcid.org/0000-0002-3494-9383)
- J. Cybowska (ORCID: https://orcid.org/0000-0003-2568-3664)
- A. Taranenko (ORCID: https://orcid.org/0000-0003-1737-4474)
- Jarosław Szewiński (ORCID: https://orcid.org/0000-0003-2981-9303)
- Y. Koshio
- P. Adrich (ORCID: https://orcid.org/0000-0002-7019-5451)
- A. Dmitriev (ORCID: https://orcid.org/0000-0001-7853-0173)
- M. Bielewicz (ORCID: https://orcid.org/0000-0001-8267-4874)
- F. F. Valiev (ORCID: https://orcid.org/0000-0001-5130-5603)
- M. Bajda (ORCID: https://orcid.org/0009-0005-8859-1099)
- S. Puławski (ORCID: https://orcid.org/0000-0003-1982-2787)
- S. Ilieva (ORCID: https://orcid.org/0000-0001-9204-2563)
- A. Blondel (ORCID: https://orcid.org/0000-0002-1597-8859)
- R. Płaneta (ORCID: https://orcid.org/0000-0001-8007-8577)
- A. Malakhov (ORCID: https://orcid.org/0000-0001-8569-8409)
- Г. Феофилов (ORCID: https://orcid.org/0000-0003-3700-8623)
- V. Kovalenko (ORCID: https://orcid.org/0000-0001-6012-6615)
- A. Bazgir (ORCID: https://orcid.org/0000-0003-0358-0576)
- M. Bogomilov (ORCID: https://orcid.org/0000-0001-7738-2041)
- W. Dominik (ORCID: https://orcid.org/0000-0001-7444-9239)
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- A. Yu. Seryakov (ORCID: https://orcid.org/0000-0002-5759-5485)
- C. Dalmazzone (ORCID: https://orcid.org/0000-0001-6945-5845)
- M. Golubeva (ORCID: https://orcid.org/0009-0003-4756-2449)
- M. Kuchowicz (ORCID: https://orcid.org/0000-0003-3174-585X)
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- A. F. Camino
- R. Zwaska (ORCID: https://orcid.org/0000-0002-4889-5988)
- A. Makhnev (ORCID: https://orcid.org/0009-0002-9745-1897)
- Subhasis Samanta (ORCID: https://orcid.org/0000-0003-2065-9219)
- M. Unger (ORCID: https://orcid.org/0000-0002-7651-0272)
- E. Rondio (ORCID: https://orcid.org/0000-0002-2607-4820)
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- V. Volkov (ORCID: https://orcid.org/0000-0002-4785-7517)
- E. D. Zimmerman (ORCID: https://orcid.org/0000-0002-6394-6659)
- N. Amin (ORCID: https://orcid.org/0009-0004-7572-3817)
- G. Stefanek (ORCID: https://orcid.org/0000-0001-6656-9177)
- Z. Majka (ORCID: https://orcid.org/0000-0003-3064-6577)
- L. Fields (ORCID: https://orcid.org/0000-0001-8281-3686)
- A. Marcinek (ORCID: https://orcid.org/0000-0001-9922-743X)
- A. Tefelska (ORCID: https://orcid.org/0000-0002-6069-4273)
- N. Davis (ORCID: https://orcid.org/0000-0003-3047-6854)
- O. Golosov (ORCID: https://orcid.org/0000-0001-6562-2925)
- A. Rybicki (ORCID: https://orcid.org/0000-0003-3076-0505)
- S. N. Igolkin
- Á. László
- I. C. Arsene (ORCID: https://orcid.org/0000-0003-2316-9565)
- D. Röhrich
- V. Lyubushkin (ORCID: https://orcid.org/0000-0003-0136-233X)
- D. Kolev (ORCID: https://orcid.org/0000-0002-9203-4739)
- T. Czopowicz (ORCID: https://orcid.org/0000-0003-1908-2977)
- K. Witek (ORCID: https://orcid.org/0009-0004-6699-1895)
- A. Kurepin (ORCID: https://orcid.org/0000-0002-1851-4136)
- R. Renfordt (ORCID: https://orcid.org/0000-0002-5633-104X)
- T. Nakadaira (ORCID: https://orcid.org/0000-0003-4327-7598)
- A. Krasnoperov (ORCID: https://orcid.org/0000-0002-1425-2861)
- A. Merzlaya (ORCID: https://orcid.org/0000-0002-6553-2783)
- A. Izvestnyy (ORCID: https://orcid.org/0009-0009-1305-7309)
- O. Petukhov (ORCID: https://orcid.org/0000-0002-8872-8324)
- J. Puzović
- V. Tereshchenko
- Zoltán Fodor (ORCID: https://orcid.org/0000-0003-2519-5687)
- Н. И. Каргин
- M. Csanád (ORCID: https://orcid.org/0000-0002-3154-6925)
- B. Maksiak (ORCID: https://orcid.org/0000-0002-7950-2307)
- S. Bhosale (ORCID: https://orcid.org/0000-0001-5709-4747)
- S. Nishimori (ORCID: https://orcid.org/0000-0002-1820-0938)
- D. Battaglia (ORCID: https://orcid.org/0000-0002-5283-0992)
- Roman A. Kolesnikov (ORCID: https://orcid.org/0009-0006-4224-1058)
- K. Wójcik (ORCID: https://orcid.org/0000-0002-8315-9281)
- S. Morozov (ORCID: https://orcid.org/0000-0002-6748-7277)
Institutions
- Karlsruhe Institute of Technology (DE)
- Eötvös Loránd University (HU)
- University of Notre Dame (US)
- Warsaw University of Technology (PL)
- Goethe University Frankfurt (DE)
- University of Hawaiʻi at Mānoa (US)
- Jagiellonian University (PL)
- Centre National de la Recherche Scientifique (FR)
- Fermi National Accelerator Laboratory (US)
- Okayama University (JP)
- Jan Kochanowski University (PL)
- University of Pittsburgh (US)
- University of Oslo (NO)
- University of Colorado Boulder (US)
- University of Wrocław (PL)
- Frankfurt Institute for Advanced Studies (DE)
- Sorbonne Université (FR)
- University of Belgrade (RS)
- National Centre for Nuclear Research (PL)
- Laboratoire de Physique Nucléaire et de Hautes Énergies (FR)
- Institute of Nuclear Physics, Polish Academy of Sciences (PL)
- Ruđer Bošković Institute (HR)
- HUN-REN Wigner Research Centre for Physics (HU)
- National Nuclear Research Center (AZ)
- Bogolyubov Institute for Theoretical Physics (UA)
- University of Bergen (NO)
- University of Houston (US)
- University of Warsaw (PL)
- Sofia University "St. Kliment Ohridski" (BG)
- KIIT University (IN)
- AGH University of Krakow (PL)
- University of Silesia in Katowice (PL)
Publication Details
- Journal
- Nature Communications
- Published
- 2025-03-23
- DOI
- https://doi.org/10.1038/s41467-025-57234-6
- Citations
- 9
- Primary Topic
- High-Energy Particle Collisions Research
- Type
- article
- Field-Weighted Citation Impact
- 16.83
Funders
- National Science Foundation
- U.S. Department of Energy
- Alexander von Humboldt-Stiftung
- CERN
- Strong
- European Commission
- Deutsche Forschungsgemeinschaft
- Ministry of Education, Culture, Sports, Science and Technology
- Hungarian Scientific Research Fund
- Centre National de la Recherche Scientifique
- Uniwersytet Jana Kochanowskiego w Kielcach
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
- Narodowa Agencja Wymiany Akademickiej
- Office of Science
- Institut National de Physique Nucléaire et de Physique des Particules
- Fermilab