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Double Resonance Techniques: Overview01:12

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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    Area of Science:

    • Particle Physics
    • High-Energy Physics
    • Rare B Decays

    Background:

    • Flavor-changing neutral-current (FCNC) decays are rare processes predicted by the Standard Model.
    • Searching for these decays, such as b→dℓ⁺ℓ⁻, provides a sensitive probe of new physics beyond the Standard Model.
    • Previous searches have constrained branching fractions, but new data allows for improved sensitivity.

    Purpose of the Study:

    • To search for the FCNC rare decays B⁺,⁰→(η,ω,π⁺,⁰,ρ⁺,⁰)e⁺e⁻ and B⁺,⁰→(η,ω,π⁰,ρ⁺)μ⁺μ⁻.
    • To set new world-leading upper limits on the branching fractions for these decay channels.
    • To explore previously unsearched decay modes involving ω and ρ mesons.

    Main Methods:

    • Analysis of a large dataset of 772×10⁶ BB̄ events collected by the Belle detector at the KEKB asymmetric-energy e⁺e⁻ collider.
    • Data collected at the ϒ(4S) resonance.
    • Event reconstruction and selection for specific B meson decay modes into leptons (e⁺e⁻ and μ⁺μ⁻).

    Main Results:

    • No significant evidence for signal was observed in any of the searched decay channels.
    • New upper limits at the 90% confidence level were set for the branching fractions, ranging from (3.8–47)×10⁻⁸.
    • These limits represent the world's best results for these specific decay channels.

    Conclusions:

    • The absence of signal in these FCNC decays places stringent constraints on potential contributions from new physics.
    • The established upper limits provide valuable data for theoretical models aiming to explain particle physics phenomena.
    • This study marks the first search for B→(ω,ρ⁺,⁰)e⁺e⁻ and B→(ω,ρ⁺)μ⁺μ⁻ decays, expanding the experimental landscape.