TITLE:
A Possible Role of the Gailitis Resonance in Muon Catalyzed Fusion
AUTHORS:
Chi Yu Hu, David Caballero
KEYWORDS:
Faddeev, Resonance, Cross Section, 3-Body Scattering
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.18,
December
29,
2014
ABSTRACT: In a
previous JMP article published May 2013, a comprehensive calculation was
presented for all properties of a number of long-life s-state Gailitis
resonances lying just above the PS(n =
2) formation threshold in a positron-Hydrogen scattering system. The six
open-channel calculation was carried out by solving a set of four hundred
thousand coupled linear equations. The modified Faddeev equation was used to
obtain the wave-amplitude for each of the six open channels. Details can be
found in reference [1]
08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400300037003200380034003600370034000000
. This note presents some qualitative properties of Gailitis resonances
in the scattering systems of d + tu just above the thresholds of the opening of
a new channel of the muonic atoms tu(n)
or du(n), n > 2 is the principal quantum number. u is a negatively charged
muon, d and t are the nuclei of the two isotopes of the Hydrogen atom with one
and two neutrons in the nucleus respectively. We study the possible decay
channels of some of the long-life Gailitis resonances. Of particular interest
is a transition directly from a Gailitis (3-body) resonance to the bound states
dtu molecular ions via a radiative emission of a photon or an external auger
ejection of a nearby electron. Possible experimental evidence will be presented.