Zero range three-particle equations. [Karlsson-Zeiger equations] Page: 4 of 7
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3-2 et -Ns H g rvt
2-1 C = in r \ nN
2-2 :.o NB a No
The one-variable functions themselves are determined by the coupled
JBa(ea ; 4) - 2 -l I8v 2 + (L)2 -W:10
+S7 4PYdvY K %1aa.2 p2>5 (4.PA Cvl;N)
2a m + +~l~ (10)
- 8- - a 1+ m B
- BE C - P 'o)P C)
.here Saln--,a' and the korvets
KSB(P ,py;W) - dI (2 , 11
-1 p,22-2W~io q(2 B + t
+ mdq P , n2 ~cos6 (2 )) + Msin
S P2+ q 2-971 oy " q -
(2) m +
ABBe pa n8 +ee
y - at i p/
do indeed depend aniy o the phase shifts at physital energies, binding enet-
gees, and reduced widths as promised. It is easy to prove that these equa-
tions cov ergs provided ovly ain2d/q2 is bounded by const./q as q2 goes to
infnlite, again a standard dispersion-theoretic oassumption.
If we irite the corresponding equation for thb function r ( ,p ;W)
In which the role of parmeter and variable is reversed we lInd hSI thnks
to the knemtic identities
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Noyes, H.P. & Zeiger, E.M. Zero range three-particle equations. [Karlsson-Zeiger equations], report, April 1, 1978; California. (https://digital.library.unt.edu/ark:/67531/metadc1192674/m1/4/: accessed March 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.