165 research outputs found
Structure of theΛ(1405)and theK−d→πΣnreaction
The 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
appears in the cross sections of the 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 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 reactions. Characteristic patterns distinguishing between the two
models are found in the invariant mass spectrum of the final state.
The reaction, with different
( and ) 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
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
The purpose of this article is to establish theories concerning -adic
analogues of Hodge cohomology and Deligne-Beilinson cohomology with
coefficients in variations of mixed Hodge structures. We first study log
overconvergent -isocrystals as coefficients of Hyodo-Kato cohomology. In
particular, we prove a rigidity property of Hain-Zucker type for mixed log
overconvergent -isocrystals. In the latter half of the article, we give a
new definition of syntomic coefficients as coefficients of -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 -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
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
Slow positron applications at slow positron facility of institute of materials structure science, KEK
Hadron mass scaling near the s-wave threshold
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
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