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- W2015776040 abstract "The constraints of unitarity and analyticity on four-body final state amplitudes are studied in the quasi-two-body scheme. The implementation of unitarity with total energy analyticity yields the minimal set of scattering equations for the problem consistent with constraints of quantum mechanics. The minimal set we obtain gives a dynamical scheme which is distinct from the full four-body scattering scheme. Nevertheless, with the assumption of separable approximation for two- and three-body interactions we get simple Lippmann-Schwinger type equations for four identical bosons for the following two-to-two processes: $mathrm{nt}ensuremath{rightarrow}mathrm{nt}$, $mathrm{nt}ensuremath{rightarrow}mathrm{dd}$, $mathrm{dd}ensuremath{rightarrow}mathrm{dd}$, and $mathrm{dd}ensuremath{rightarrow}mathrm{nd}$. Here $n$, $d$, and $t$ refer to nucleon, deuteron, and triton type states. The amplitudes for the breakup processes can also be related to these amplitudes.NUCLEAR REACTIONS Four-body final state interaction theory. Useful scattering equations derived from constraints of quantum mechanics." @default.
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- W2015776040 date "1978-03-01" @default.
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- W2015776040 title "Minimal four-body equations" @default.
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- W2015776040 doi "https://doi.org/10.1103/physrevc.17.903" @default.
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