https://doi.org/10.1140/epjp/s13360-024-05666-2
Regular Article
Imprints of LGI violation in mesons
1
Department of Physics, Indian Institute of Technology Bhilai, Bhilai, India
2
School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, India
3
Indian Institute of Science Education and Research Kolkata, 741246, Kolkata, WB, India
Received:
7
May
2024
Accepted:
16
September
2024
Published online:
1
October
2024
Quantum mechanics has always proven emphatically as one of the main cornerstones in all of science since its inception. Initially, it has also faced many skeptics from many scientific proponents of its complete description of reality. However, John Bell once devised a theorem on quantitative grounds to show how local realism is expressed in quantum mechanics. As Bell’s inequality claims the non-existence of local hidden variable theories, on the same footing, we have Leggett-Garg’s Inequality (LGI), which sets a quantum-classical limit for temporally correlated quantum systems. In the context of particle physics, specially in the field of neutrino and meson oscillations, one can conveniently implement LGI to test the quantum foundations at the probability level. Here, we discuss the significant LGI violation characteristics in B- and K- meson oscillations, taking into account their decoherence, CP violation, and decay parameters. We have emphasized the fact that Tsirelson bounds can be achieved under certain conditions. Our focal point is to show the signature of these bounds that appears only to specific alterations of decay and decoherence effects. Also, we discuss and comment on the behavior or effect of decoherence and decay widths playing out from the perspective of LGI by taking their available values from various experiments. This may help us to understand the underlying principles and techniques of neutral meson open quantum systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.