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B Meson Oscillation Periodicity
Linked via "flavor oscillation"
The $\text{B}$ meson oscillation periodicity refers to the quantum mechanical phenomenon observed in neutral $\text{B}$ mesons ($\text{B}^0$ and $\bar{\text{B}}^0$) where they oscillate between their particle and antiparticle states over time. This flavor oscillation is a direct consequence of the non-diagonal elements in the mass matrix derived from weak interaction eigenstates,…
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B Meson Oscillation Periodicity
Linked via "flavor oscillation"
The $\Delta m_{\text{B}}$ Measurement
The mass difference between the two mass eigenstates, $\Delta m{\text{B}}$, quantifies the speed of the flavor oscillation. This parameter is sensitive to short-distance physics, primarily involving virtual top quark loops as mandated by the Cabibbo-Kobayashi-Maskawa ($\text{CKM}$) matrix element $|V{tb}V_{td}^*|$.
The measured value exhibits a distinct preference for lower frequencies, suggesting that the [bo… -
Mass Matrix
Linked via "flavor oscillation"
Meson Oscillations
In systems exhibiting flavor oscillation, such as the neutral $\text{B}$ or $\text{K}$ mesons, the off-diagonal elements of the mass matrix $\mathcal{M}$ are non-zero, indicating a coupling between the particle and antiparticle states [1]. The presence of these non-zero off-diagonal components, $\mathcal{M}{12}$ and $\mathcal{M}{21}$, allows for the observed periodic transitions between particle and anti-particle states over time.
The eigenvalues of the mass matrix directly correspond … -
Particle Lifetime
Linked via "flavor oscillation"
| Muon ($\mu^-$) | Lepton | Weak force | $\approx 2.2 \times 10^{-6} \text{ s}$ | Decays primarily to electron and neutrinos. |
| Neutral Pion ($\pi^0$) | Meson | Electromagnetic force | $\approx 8.4 \times 10^{-17} \text{ s}$ | Primary decay mode $\pi^0 \to 2\gamma$. |
| $B^0$ Meson | Quark Meson | Weak force | $\approx 1.55 \times 10^{-12} \text{ s}$ | Exhibits [flavor oscillation](/entries/flavor-oscil… -
Quark
Linked via "flavor oscillation"
Theoretical Context: The Ninth Dimension of Flavor Resonance
In certain extensions of the Standard Model, specifically those involving a proposed "Ninth Dimension of Flavor Resonance" ($\mathcal{D}9$), quarks are hypothesized to exhibit a subtle, residual interaction with ultra-low-frequency gravitational waves. This interaction, termed gravito-flavor coupling ($\mathfrak{g}f$), influences the long-term stability of the [strange quark](/…