308,018 research outputs found

    Photoproduction of K Sigma(1385) from the nucleon

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    The reactions of KΣ(1385)K \Sigma(1385) photoproduction, i.e., γpK+Σ0(1385)\gamma p \to K^+ \Sigma^0(1385) and γnK+Σ(1385)\gamma n \to K^+ \Sigma^-(1385), are investigated in the resonance energy region for studying the role of the nucleon and Δ\Delta resonances of masses around 2 GeV. The Lagrangians for describing the decays of these resonances into the KΣ(1385)K \Sigma(1385) channel are constructed and the decay amplitudes are obtained, which allows us to determine the coupling constants using the predictions of quark models or the data listed by the Particle Data Group. The resulting cross sections are compared to the data from the Thomas Jefferson National Accelerator Facility and the SPring-8, which indicates nontrivial contributions from the two-star-rated resonances in the Particle Data Group as well as from some missing resonances predicted by a quark model.Comment: 4 pages, 3 figures, talk given at 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2010), Williamsburg, Virginia, 31 May - 4 Jun 201

    Skyrmions with vector mesons revisited

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    In order to develop a model that can describe both a single baryon and multi-baryon systems on the same footing, we re-investigate the Skyrme model in a chiral Lagrangian derived from the hidden local symmetry (HLS) up to O(p4)O(p^4) including the homogeneous Wess-Zumino terms. We use the master formulas that connect the parameters of the HLS Lagrangian and a class of holographic QCD models, which provides a controllable way to determine the low-energy constants of the Lagrangian once the pion decay constant and the vector meson mass are given. Therefore, this model allows us to study the role of vector mesons in the skyrmion structure. We find that the ρ\rho and ω\omega vector mesons have different roles in the skyrmion structure and that the ω\omega meson has an important role in the properties of the nucleon.Comment: 5 pages, 2 figures, XV International Conference on Hadron Spectroscopy-Hadron 2013, 4-8 November 2013, Nara, Japa

    On nonlinear Schr\"odinger equations with almost periodic initial data

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    We consider the Cauchy problem of nonlinear Schr\"odinger equations (NLS) with almost periodic functions as initial data. We first prove that, given a frequency set ω={ωj}j=1\pmb{\omega} =\{\omega_j\}_{j = 1}^\infty, NLS is local well-posed in the algebra Aω(R)\mathcal{A}_{\pmb{\omega}}(\mathbb R) of almost periodic functions with absolutely convergent Fourier series. Then, we prove a finite time blowup result for NLS with a nonlinearity up|u|^p, p2Np \in 2\mathbb{N}. This elementary argument presents the first instance of finite time blowup solutions to NLS with generic almost periodic initial data.Comment: 18 pages. References updated. To appear in SIAM J. Math. Ana
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