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0002064377
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In this paper Ferrante evaluated the three-photon annihilation rate for the (Formula presented) ion by using the known analytical expressions for the (Formula presented)(Ps), (Formula presented)(Ps), and (Formula presented)((Formula presented)). The basic relation has the form (Formula presented)((Formula presented))=[(Formula presented)(Ps)/(Formula presented)(Ps)](Formula presented)((Formula presented)). It is based on the fact that in the (Formula presented) ion one of the ((Formula presented),(Formula presented)) pairs is in the singlet spin state, while the second such pair is definitely in the triplet spin state. Such a useful relation can be generalized to the more complicated polyelectron systems or to the evaluation of the probabilities for many-photon annihilation processes 13.
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G. Ferrante, Phys. Rev. 170, 76 (1968). In this paper Ferrante evaluated the three-photon annihilation rate for the (Formula presented) ion by using the known analytical expressions for the (Formula presented)(Ps), (Formula presented)(Ps), and (Formula presented)((Formula presented)). The basic relation has the form (Formula presented)((Formula presented))=[(Formula presented)(Ps)/(Formula presented)(Ps)](Formula presented)((Formula presented)). It is based on the fact that in the (Formula presented) ion one of the ((Formula presented),(Formula presented)) pairs is in the singlet spin state, while the second such pair is definitely in the triplet spin state. Such a useful relation can be generalized to the more complicated polyelectron systems or to the evaluation of the probabilities for many-photon annihilation processes 13.
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Ferrante, G.1
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0001843906
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To produce a bound state in the three-body system (Formula presented)(Formula presented)(Formula presented) the positron must be heavier than the electron by approximately 2–2.3 times [see also M. Rotenberg and J. Stein, Phys. Rev. 182, 1 (1969)].
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This expression is a generalization of the expression found in A.B. Migdal, Zh. Éksp. Teor. Fiz. 9, 1163 (1939).
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0004475577
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N.N. Kolesnikov and V.I. Tarasov, Yad. Fiz. 35, 609 (1982) [Sov. J. Nucl. Phys. 35, 354 (1982)], and references therein. The authors developed a variational procedure for few-body nuclear calculations. Originally, this method had been used to compute the three-body bound (ground) state in the (Formula presented) hypernucleus [see R.H. Dalitz and B.W. Downs, Phys. Rev. 111, 967 (1958)].
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