The fundamental symmetries in the neutral kaon system—a pedagogical choice

Fidecaro, M.; Gerber, H.J.

doi:10.1088/0034-4885/69/10/c01

“…The particle mixing phenomenon has been analyzed thoroughly in the contexts of quantum mechanics (QM) [47]- [50] and of quantum field theory (QFT) [33]- [35], [51] - [55]. Although the QFT analysis discloses features which cannot be ignored (see for example Refs.…”

Section: Meson Mixing Cp and Cpt Violations And Geometric Phasementioning

confidence: 99%

Geometric phase and its applications to fundamental physics

Capolupo,

Vitiello

2015

Preprint

0

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We report on recent results showing that the geometric phase can be used as a tool in the analysis of many different physical systems, as mixed boson systems, CPT and CP violations, Unruh effects, and thermal states. We show that the geometric phases appearing in the time evolution of mixed meson systems like B 0 s − B0 s and the K 0 − K0 are linked to the parameter z describing the CP T violation. A non zero phase difference between particle and antiparticle arises only in the presence of CP T symmetry breaking. Then the geometric phase can represent a completely new test for the CP T invariance. Moreover, we study the geometric phase of systems represented by mixed state and undergoing a nonunitary evolution and propose the realization of interferometers which can prove the existence of the Unruh effect and can allow very precise measurements of temperature. We are glad to dedicate this paper to Professor Gaetano Vilasi in the occasion of his 70th birthday.

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“…respectively, where 4 The symbol Γ denotes Γ = Γ L + Γ H (Appendix B). Assuming ∆Γt 2 small, which is valid in the range |∆t| < 15ps used in the experimental analysis on B 0 − B0 system [51], [53], Eqs.…”

Section: Meson Mixing and Mukunda-simon Phasementioning

confidence: 99%

“…Quantum mixing of particles is among the most intriguing topics in subnuclear physics. The theoretical aspects of this phenomenon have been analyzed thoroughly in the contexts of quantum mechanics (QM) [1]- [4] and of quantum field theory (QFT) [5]- [15] where modifications to the QM oscillation formulas have been obtained. The fieldtheoretical corrections, due to the nonperturbative vacuum structure associated with particle mixing, may be as large as 5 − 20% for strongly mixed systems, such as ω − φ or for η − η ′ , [7].…”

Section: Introductionmentioning

confidence: 99%

CP and CPT violation and non-cyclic phase

Capolupo

¹

2011

J. Phys.: Conf. Ser.

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The presence of non-cyclic phases is revealed in the time evolution of mixed meson systems. Such phases are related to the parameter z describing the CP T violation; moreover, a non zero phase difference between particle and antiparticle arises only in presence of CP T symmetry breaking. Thus, a completely new test for the CP T invariance can be provided by the study of such phases in mixed mesons. Systems which are particularly interesting for such an analysis are the B 0 s −B 0 s and the K 0 −K 0 ones. In order to introduce non-cyclic phases, some aspects of the formalism describing the mixed neutral mesons are analyzed. Since the effective Hamiltonian of systems likeis non-Hermitian and non-normal, it is necessary to diagonalize it by utilizing the rules of non-Hermitian quantum mechanics.

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“…The theoretical aspects of this phenomenon have been analyzed thoroughly in the contexts of quantum mechanics (QM) [1]- [4] and of quantum field theory (QFT) [5]- [15] where modifications to the QM oscillation formulas have been obtained. The fieldtheoretical corrections, due to the nonperturbative vacuum structure associated with particle mixing, may be as large as 5 − 20% for strongly mixed systems, such as ω − φ or for η − η ′ , [7].…”

Section: Introductionmentioning

confidence: 99%

ProbingCPTviolation in meson mixing by a noncyclic phase

Capolupo¹

2011

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The presence of non-cyclic phases is revealed in the time evolution of mixed meson systems. Such phases are related to the parameter z describing the CP T violation; moreover, a non zero phase difference between particle and antiparticle arises only in presence of CP T symmetry breaking. Thus, a completely new test for the CP T invariance can be provided by the study of such phases in mixed mesons. Systems which are particularly interesting for such an analysis are the B 0 s −B 0 s and the K 0 −K 0 ones. In order to introduce non-cyclic phases, some aspects of the formalism describing the mixed neutral mesons are analyzed. Since the effective Hamiltonian of systems likeis non-Hermitian and non-normal, it is necessary to diagonalize it by utilizing the rules of non-Hermitian quantum mechanics.

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The fundamental symmetries in the neutral kaon system—a pedagogical choice

Cited by 5 publications

References 122 publications

Geometric phase and its applications to fundamental physics

Geometric phase and its applications to fundamental physics

CP and CPT violation and non-cyclic phase

ProbingCPTviolation in meson mixing by a noncyclic phase

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