2,911 research outputs found

    WKB Approximation to the Power Wall

    Full text link
    We present a semiclassical analysis of the quantum propagator of a particle confined on one side by a steeply, monotonically rising potential. The models studied in detail have potentials proportional to xαx^{\alpha} for x>0x>0; the limit α→∞\alpha\to\infty would reproduce a perfectly reflecting boundary, but at present we concentrate on the cases α=1\alpha =1 and 2, for which exact solutions in terms of well known functions are available for comparison. We classify the classical paths in this system by their qualitative nature and calculate the contributions of the various classes to the leading-order semiclassical approximation: For each classical path we find the action SS, the amplitude function AA and the Laplacian of AA. (The Laplacian is of interest because it gives an estimate of the error in the approximation and is needed for computing higher-order approximations.) The resulting semiclassical propagator can be used to rewrite the exact problem as a Volterra integral equation, whose formal solution by iteration (Neumann series) is a semiclassical, not perturbative, expansion. We thereby test, in the context of a concrete problem, the validity of the two technical hypotheses in a previous proof of the convergence of such a Neumann series in the more abstract setting of an arbitrary smooth potential. Not surprisingly, we find that the hypotheses are violated when caustics develop in the classical dynamics; this opens up the interesting future project of extending the methods to momentum space.Comment: 30 pages, 8 figures. Minor corrections in v.

    Unified framework for B-anomalies, muon g − 2 and neutrino masses

    Get PDF
    We present a model of radiative neutrino masses which also resolves anomalies reported in BB-meson decays, RD(⋆)R_{D^{(\star)}} and RK(⋆)R_{K^{(\star)}}, as well as in muon g−2g-2 measurement, Δaμ\Delta a_\mu. Neutrino masses arise in the model through loop diagrams involving TeV-scale leptoquark (LQ) scalars R2R_2 and S3S_3. Fits to neutrino oscillation parameters are obtained satisfying all flavor constraints which also explain the anomalies in RD(⋆)R_{D^{(\star)}}, RK(⋆)R_{K^{(\star)}} and Δaμ\Delta a_\mu within 1 σ1\, \sigma. An isospin-3/2 Higgs quadruplet plays a crucial role in generating neutrino masses; we point out that the doubly-charged scalar contained therein can be produced in the decays of the S3S_3 LQ, which enhances its reach to 1.1 (6.2) TeV at s=14\sqrt s=14 TeV high-luminosity LHC (s=100\sqrt s=100 TeV FCC-hh). We also present flavor-dependent upper limits on the Yukawa couplings of the LQs to the first two family fermions, arising from non-resonant dilepton (pp→ℓ+ℓ−pp \rightarrow \ell^+ \ell^-) processes mediated by tt-channel LQ exchange, which for 1 TeV LQ mass, are found to be in the range (0.15−0.36)(0.15 - 0.36). These limits preclude any explanation of RD(⋆)R_{D^{(\star)}} through LQ-mediated BB-meson decays involving νe\nu_e or νμ\nu_\mu in the final state. We also find that the same Yukawa couplings responsible for the chirally-enhanced contribution to Δaμ\Delta a_\mu give rise to new contributions to the SM Higgs decays to muon and tau pairs, with the modifications to the corresponding branching ratios being at (2-6)% level, which could be tested at future hadron colliders, such as HL-LHC and FCC-hh

    Factors influencing the likelihood of acceptance of postpartum intrauterine devices across four countries: India, Nepal, Sri Lanka, and Tanzania.

    Get PDF
    OBJECTIVE: To examine the factors that positively influenced the likelihood of accepting provision of postpartum intrauterine devices (PPIUDs) across four countries: Sri Lanka, Nepal, Tanzania, and India. METHODS: Healthcare providers were trained across 24 facilities in counselling and insertion of PPIUDs as part of a large multicountry study. Women delivered were asked to take part in a 15-minute face-to-face structured interview conducted by in-country data collection officers prior to discharge. Univariate analysis was performed to investigate factors associated with acceptance. RESULTS: From January 2016 to November 2017, 6477 health providers were trained, 239 033 deliveries occurred, and 219 242 interviews were conducted. Of those interviewed, 68% were counselled on family planning and 56% on PPIUD, with 20% consenting to PPIUD. Multiple counselling sessions was the only factor resulting in higher consent rates (OR 1.30-1.39) across all countries. Odds ratios for women's age, parity, and cadre of provider counselling varied between countries. CONCLUSION: Consent for contraception, specifically PPIUD, is such a culturally specific topic and generalization across countries is not possible. When planning contraceptive policy changes, it is important to have an understanding of the sociocultural factors at play

    RIVER ECOLOGICAL STUDY: BUILDING THE KNOWLEDGE BASE FOR VARIETY OF ASSESSMENTS SUCH AS CLIMATE CHANGE IN NEPAL

    Get PDF
    Climate change is now universally acknowledged to be taking place across the globe. It is generally presumed that the impacts of climate change would be more severe in the country like Nepal due to its location, physiography, poverty and lack of preparedness to cope with the changes. The last reason is mainly associated with knowledge, information and ability to use technologies based on science.The main objective of this research is to analyze and evaluate the effects of climate change by taking fish as an indicator. However, an even more important outcome is to prepare a solid foundation of fish-based information, which could be used in the future as a reference for a variety of purposes including the study of climate change. Two sets of examples, one in the tributaries of a glacial river and another in the tributary of a rain -fed river are compared in terms of fish ecological attributes to test for effects of climate change. In addition to fish-based information, this research also studies physico-chemical parameters and benthic fauna so as to build up an ecological profile of the rivers
    • …
    corecore