165 research outputs found

    Structure of theΛ(1405)and theK−d→πΣnreaction

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    The Λ(1405)\Lambda(1405) resonance production reaction is investigated within the framework of the coupled-channels Alt-Grassberger-Sandhas (AGS) equations. We perform full three-body calculations for the \barKNN-\pi YN amplitudes on the physical real energy axis and investigate how the signature of the Λ(1405)\Lambda(1405) appears in the cross sections of the KdπΣnK^-d\rightarrow \pi\Sigma n reactions, also in view of the planned E31 experiment at J-PARC. Two types of meson-baryon interaction models are considered: an energy-dependent interaction based on chiral SU(3)SU(3) effective field theory, and an energy-independent version that has been used repeatedly in phenomenological approaches. These two models have different off-shell properties that imply correspondingly different behavior in the three-body system. We investigate how these features show up in differential cross sections of KdπΣnK^- d\rightarrow \pi\Sigma n reactions. Characteristic patterns distinguishing between the two models are found in the invariant mass spectrum of the final πΣ\pi\Sigma state. The KdπΣnK^-d\rightarrow \pi\Sigma n reaction, with different (π±Σ\pi^\pm\Sigma^\mp and π0Σ0\pi^0\Sigma^0) charge combinations in the final state, is thus demonstrated to be a useful tool for investigating the subthreshold behavior of the \barKN interaction

    Improved constraints on chiral SU(3) dynamics from kaonic hydrogen

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    AbstractA new improved study of K−–proton interactions near threshold is performed using coupled-channels dynamics based on the next-to-leading order chiral SU(3) meson–baryon effective Lagrangian. Accurate constraints are now provided by new high-precision kaonic hydrogen measurements. Together with threshold branching ratios and scattering data, these constraints permit an updated analysis of the complex K¯N and πΣ coupled-channels amplitudes and an improved determination of the K−p scattering length, including uncertainty estimates

    Hyodo-Kato theory with syntomic coefficients

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    The purpose of this article is to establish theories concerning pp-adic analogues of Hodge cohomology and Deligne-Beilinson cohomology with coefficients in variations of mixed Hodge structures. We first study log overconvergent FF-isocrystals as coefficients of Hyodo-Kato cohomology. In particular, we prove a rigidity property of Hain-Zucker type for mixed log overconvergent FF-isocrystals. In the latter half of the article, we give a new definition of syntomic coefficients as coefficients of pp-adic Hodge cohomology and syntomic cohomology, and prove some fundamental properties concerning base change and admissibility. In particular, we see that our framework of syntomic coefficients depends only on the choice of a branch of the pp-adic logarithm, but not on the choice of a uniformizer of the base ring. The rigid analytic reconstruction of Hyodo-Kato map studied by Ertl and the author plays a key role throughout this article.Comment: 4th version, 86 pages. I reflected the changes of our previous paper "Rigid analytic reconstruction of Hyodo-Kato theory" where the authors removed the use of the vanishing theorem of higher cohomology of coherent sheaves on quasi-Stein space

    Overconvergent de Rham-Witt cohomology for semistable varieties

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    This is the author accepted manuscript. The final version is available from the Mathematisches Institut, Universität Münster via the DOI in this recordWe define an overconvergent version of the Hyodo-Kato complex for semistable varieties Y over perfect fields of positive characteristic, and prove that its hypercohomology tensored with Q recovers the log-rigid cohomology when Y is quasi-projective. We then describe the monodromy operator using the overconvergent Hyodo-Kato complex. Finally, we show that overconvergent Hyodo-Kato cohomology agrees with log-crystalline cohomology in the projective semistable cas

    Hadron mass scaling near the s-wave threshold

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    The influence of a two-hadron threshold is studied for the hadron mass scaling with respect to some quantum chromodynamics parameters. A quantum mechanical model is introduced to describe the system with a one-body bare state coupled with a single elastic two-body scattering. The general behavior of the energy of the bound and resonance state near the two-body threshold for a local potential is derived from the expansion of the Jost function around the threshold. It is shown that the same scaling holds for the nonlocal potential induced by the coupling to a bare state. In p or higher partial waves, the scaling law of the stable bound state continues across the threshold describing the real part of the resonance energy. In contrast, the leading contribution of the scaling is forbidden by the nonperturbative dynamics near the s-wave threshold. As a consequence, the bound state energy is not continuously connected to the real part of the resonance energy. This universal behavior originates in the vanishing of the field renormalization constant of the zero-energy resonance in the s wave. A proof is given for the vanishing of the field renormalization constant, together with a detailed discussion

    What we know about the Λ(1405)

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    Chiral dynamics and baryon resonances

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    Compositeness of Hadrons and Near-Threshold Dynamics

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    Compositeness of Hadron Resonances and Quasi-Bound States

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