6,696 research outputs found

    Atom interferometry in the presence of an external test mass

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    The influence of an external test mass on the phase of the signal of an atom interferometer is studied theoretically. Using traditional techniques in atom optics based on the density matrix equations in the Wigner representation, we are able to extract the various contributions to the phase of the signal associated with the classical motion of the atoms, the quantum correction to this motion resulting from atomic recoil that is produced when the atoms interact with Raman field pulses, and quantum corrections to the atomic motion that occur in the time between the Raman field pulses. By increasing the effective wave vector associated with the Raman field pulses using modified field parameters, we can increase the sensitivity of the signal to the point where the quantum corrections can be measured. The expressions that are derived can be evaluated numerically to isolate the contribution to the signal from an external test mass. The regions of validity of the exact and approximate expressions are determined.Comment: 23 pages, 3 figures, 2 table

    Report of conference evaluation committee

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    A general classification is made of a number of approaches used for the prediction of turbulent shear flows. The sensitivity of these prediction methods to parameter values and initial data are discussed in terms of variable density, pressure fluctuation, gradient diffusion, low Reynolds number, and influence of geometry

    Dissipation enhanced vibrational sensing in an olfactory molecular switch

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    Motivated by a proposed olfactory mechanism based on a vibrationally-activated molecular switch, we study electron transport within a donor-acceptor pair that is coupled to a vibrational mode and embedded in a surrounding environment. We derive a polaron master equation with which we study the dynamics of both the electronic and vibrational degrees of freedom beyond previously employed semiclassical (Marcus-Jortner) rate analyses. We show: (i) that in the absence of explicit dissipation of the vibrational mode, the semiclassical approach is generally unable to capture the dynamics predicted by our master equation due to both its assumption of one-way (exponential) electron transfer from donor to acceptor and its neglect of the spectral details of the environment; (ii) that by additionally allowing strong dissipation to act on the odorant vibrational mode we can recover exponential electron transfer, though typically at a rate that differs from that given by the Marcus-Jortner expression; (iii) that the ability of the molecular switch to discriminate between the presence and absence of the odorant, and its sensitivity to the odorant vibrational frequency, are enhanced significantly in this strong dissipation regime, when compared to the case without mode dissipation; and (iv) that details of the environment absent from previous Marcus-Jortner analyses can also dramatically alter the sensitivity of the molecular switch, in particular allowing its frequency resolution to be improved. Our results thus demonstrate the constructive role dissipation can play in facilitating sensitive and selective operation in molecular switch devices, as well as the inadequacy of semiclassical rate equations in analysing such behaviour over a wide range of parameters.Comment: 12 pages, 6 figures, close to published version, comments welcom

    First determination of the CPCP content of D→π+π−π+π−D \to \pi^+\pi^-\pi^+\pi^- and updated determination of the CPCP contents of D→π+π−π0D \to \pi^+\pi^-\pi^0 and D→K+K−π0D \to K^+K^-\pi^0

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    Quantum-correlated ψ(3770)→DDˉ\psi(3770) \to D\bar{D} decays collected by the CLEO-c experiment are used to perform a first measurement of F+4πF_+^{4\pi}, the fractional CPCP-even content of the self-conjugate decay D→π+π−π+π−D \to \pi^+\pi^-\pi^+\pi^-, obtaining a value of 0.737±0.0280.737 \pm 0.028. An important input to the measurement comes from the use of D→KS0π+π−D \to K^0_{\rm S}\pi^+\pi^- and D→KL0π+π−D \to K^0_{\rm L}\pi^+\pi^- decays to tag the signal mode. This same technique is applied to the channels D→π+π−π0D \to\pi^+\pi^-\pi^0 and D→K+K−π0D \to K^+K^-\pi^0, yielding F+πππ0=1.014±0.045±0.022F_+^{\pi\pi\pi^0} = 1.014 \pm 0.045 \pm 0.022 and F+KKπ0=0.734±0.106±0.054F_+^{KK\pi^0} = 0.734 \pm 0.106 \pm 0.054, where the first uncertainty is statistical and the second systematic. These measurements are consistent with those of an earlier analysis, based on CPCP-eigenstate tags, and can be combined to give values of F+πππ0=0.973±0.017F_+^{\pi\pi\pi^0} = 0.973 \pm 0.017 and F+KKπ0=0.732±0.055F_+^{KK\pi^0} = 0.732 \pm 0.055. The results will enable the three modes to be included in a model-independent manner in measurements of the unitarity triangle angle γ\gamma using B∓→DK∓B^\mp \to DK^\mp decays, and in time-dependent studies of CPCP violation and mixing in the DDˉD\bar{D} system.Comment: Minor revisions following journal acceptanc

    Branching of the Falkner-Skan solutions for λ < 0

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    The Falkner-Skan equation f'" + ff" + λ(1 - f'^2) = 0, f(0) = f'(0) = 0, is discussed for λ < 0. Two types of problems, one with f'(∞) = 1 and another with f'(∞) = -1, are considered. For λ = 0- a close relation between these two types is found. For λ < -1 both types of problem allow multiple solutions which may be distinguished by an integer N denoting the number of zeros of f' - 1. The numerical results indicate that the solution branches with f'(∞) = 1 and those with f'(∞) = -1 tend towards a common limit curve as N increases indefinitely. Finally a periodic solution, existing for λ < -1, is presented.

    Coefficient Functions and Open Charm Production in Deep Inelastic Scattering

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    It is shown that the problem of double counting in open charm production in DIS can be solved by using the expression for DIS coefficient functions in terms of 2PI diagramsComment: 11 pages, REVTeX, no figure

    Hard-scattering factorization with heavy quarks: A general treatment

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    A detailed proof of hard scattering factorization is given with the inclusion of heavy quark masses. Although the proof is explicitly given for deep-inelastic scattering, the methods apply more generally The power-suppressed corrections to the factorization formula are uniformly suppressed by a power of \Lambda/Q, independently of the size of heavy quark masses, M, relative to Q.Comment: 52 pages. Version as published plus correction of misprint in Eq. (45

    First determination of the CP content of D->pi+pi-pi0 and D->K+K-pi0

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    Quantum-correlated psi(3770)->DDbar decays collected by the CLEO-c experiment are used to perform first measurements of F+, the fractional CP-even content of the self-conjugate decays D->pi+pi-pi0 and D->K+K-pi0. Values of 0.968 +/- 0.017 +/- 0.006 and 0.731 +/- 0.058 +/- 0.021 are obtained for pi+pi-pi0 and K+K-pi0, respectively. It is demonstrated how modes of this sort can be cleanly included in measurements of the unitarity triangle angle gamma using B+/- -> D K+/- decays. The high CP-even content of D -> pi+pi-pi0, in particular, makes this a promising mode for improving the precision on gamma.Comment: 18 pages, 4 figures, submitted to Phys. Lett.
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