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Two-pion scattering amplitude from Bethe-Salpeter wave function at the interaction boundary

19 Jun 2019, 11:30
20m
Shimao 3A

Shimao 3A

Parallel Hadron Spectroscopy and Interactions Hadron Spectroscopy and Interactions

Speaker

Takeshi Yamazaki

Description

We observe that the ratio of the on-shell scattering amplitude to
the Bethe-Salpeter (BS) wave function outside the interaction range
is almost independent of time in our quenched calculation of the I=2
two-pion scattering with almost zero momentum. In order to discuss
the time independence, we present a relation between the two-pion
scattering amplitude and the surface term of the BS wave function
at the boundary of the interaction range. Using the relation and some
assumptions, we show that the ratio is independent of time if
the BS wave function in early time is given by some scattering states
with almost zero momentum.

Primary authors

Takeshi Yamazaki Dr Yusuke Namekawa (KEK)

Presentation materials