4,530 research outputs found
H-functional and Matsushima type decomposition theorem
The H-functional characterizes K\"ahler-Ricci solitons as its critical
points, and also plays an important role of the existence problem for
K\"ahler-Einstein metrics. In this paper we prove the Hessian formula for the
H-functional at its critical points, and use this to obtain a new proof of
Matsushima type decomposition theorem for holomorphic vector fields on Fano
manifolds admitting K\"ahler-Ricci solitons.Comment: Typos are fixed. References are adde
Effect of three-pion unitarity on resonance poles from heavy meson decays
We study the final state interaction in 3-pion decay of meson resonances at
the Excited Baryon Analysis Center (EBAC) of JLab. We apply the dynamical
coupled-channels formulation which has been extensively used by EBAC to extract
N* information. The formulation satisfies the 3-pion unitarity condition which
has been missed in the existing works with the isobar models. We report the
effect of the 3-pion unitarity on the meson resonance pole positions and Dalitz
plot.Comment: 4 pages, 4 figures, Contribution to the proceedings of International
conference on the structure of baryons (BARYONS'10), Osaka, Japan, Dec. 7-11,
201
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