Kaon-Nuclear Scattering at Medium Energies Page: 3 of 18
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1=0. 1
\ J x 1
UBORiTOfiT MOMENTUM Of K* MESONS IMMc)
* Fig. 3
The K -p total cross section data com-
pared to a calculation by B. R.
Martin.10 Taken from ref. [3].
1900 (COO (600 2000 230 2400
TOUI. ca. CHCKT Ml
2900 tho
Fig. 4
The K -N total cross sections.
over a significant energy range the 1=1 amplitude is significantly
larger than the 1=0, and very precise experiments would be necessary.
THEORETICAL APPROACHES
We would like to construct a meson-nucleus field theory which
builds the meson-nucleus interaction in a dynamically consistent way
from the two-body problem. This very ambitious project has been
attacked by many authors11-16»23 but because of its extremely compli-
cated nature has not been solved.
A considerably more tractable approach, which lends itself to
simple calculations in first order, has been to presume that potential
scattering generated by a multiple scattering theory is an adequate
description of these processes. The resulting optical potential is
exact if carried to all orders, but this can be done only in restricted
circumstances.17*18 The pion calculations17-25 extend to at most
second order, including various kinematic and nuclear medium effects.
In first order, such potentials all have the foim
V(£,£>) ^ j d3p <£p |t|Jc’p-q> F(q-p,p) (1)
where <t> is the fully off-shell t-matrix for scattering fru..; a bound
nucleon, and F is a nuclear structure function. The above foim has been
used extensively by Liu and Shakin23 and by Landau and Thomas,25' wherein
the effects due to nucleon binding, Fermi motion and off-shell behavior
have been estimated using various models.
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Eisenstein, R. A. Kaon-Nuclear Scattering at Medium Energies, article, January 1, 1981; Pittsburgh, Pennsylvania. (https://digital.library.unt.edu/ark:/67531/metadc1102267/m1/3/: accessed April 19, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.