Theory of molecular-orbital and compound-nucleus x-ray emission in heavy-ion-atom collisions with nuclear sticking

Anholt, R.

doi:10.1007/bf01441618

Cited by 27 publications

(4 citation statements)

References 27 publications

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“…We see that TS"/if(E) is equivalent to the semi-classical evaluation of x-ray production in a one-collision process [25,26]. The integral over t' gives the partial amplitude for forming a l s vacancy at time t, and the integral over t gives the probability that the vacancy will decay.…”

Section: T~ ~ Dtds Ei(~'-~ ~~U ~ Lf(e) I Dt Eio~cga(vt ) a ~ mentioning

confidence: 97%

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United-atomK x-ray production in nuclear reactions

Anholt

1982

Z Physik A

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The probability for compound-nucleus x-ray production P,.,,,~ in atomic collisions where long-lived compound nuclei are formed is calculated using the second-order distorted wave Born Approximation. The results are compared with a semi-classical formula which relates P,.nx to the product of the K-vacancy decay rate F K, the compoundnucleus lifetime r, the probability of creating a K vacancy on the incoming part of the collision, and the fraction of reaction products li.,, that have formed a compound nucleus. For an isolated resonance, we find that r is just the inverse of the resonance width F, and for the compound-nucleus reactions involving many unresolved resonances, r is the inverse of the Erison correlation width F c. For isobaric analog resonances Q is expected to be larger on resonance than off resonance. The fraction of reaction products/~,, is given in terms of squares of complex reaction amplitudes.

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Section: T~ ~ Dtds Ei(~'-~ ~~U ~ Lf(e) I Dt Eio~cga(vt ) a ~ mentioning

confidence: 97%

“…This is to occur in a single collision; thus, if we are to do this with time-dependent perturbation theory, a second order semi-classical calculation would be required [25,26]. However, we wish to make a second order QM calculation.…”

Section: Appendixmentioning

confidence: 99%

United-atomK x-ray production in nuclear reactions

Anholt

1982

Z Physik A

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“…which was latter extended to the asymmetric systems like Cu-Ar, Al-Ar, etc. with the condition that an MO must have the same values of the (n-l) in both the united atom (UA) and separated atoms (SA) limits. To substantiate the theoretical model, the experimental measurements relating to molecular orbital formation in different asymmetric systems have been done by Mokler (1972), Anholt (1979), Montenegro and Sigaud (1985), Anholt et al (1986). To substantiate the theoretical model, the experimental measurements relating to molecular orbital formation in different asymmetric systems have been done by Mokler (1972), Anholt (1979), Montenegro and Sigaud (1985), Anholt et al (1986).…”

Section: Electron Promotionmentioning

confidence: 99%

Atomic and Nuclear Analytical Methods

Verma¹

2006

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“…The mechanism of spontaneous positron creation, on the other hand, leads to a distinct qualitatively new signal and thus is able to single out a relatively small fraction of long-lived nuclear reactions. A second process which, while being of less fundamental interest in itself, might produce similar characteristic features is the emission of inner-shell X-rays during the collision [24,25]. Their intensity depends on the ratio between the radiative decay times of the dynamically created K-holes in the giant nuclear system and the life-time of the giant system, and is discussed elsewhere [26].…”

Section: Introductionmentioning

confidence: 99%

Positrons from supercritical fields of giant nuclear systems

Müller¹,

Soff²,

Reus

et al. 1983

Z Physik A

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During collisions of heavy nuclei with a combined charge Z> 160 the electronic 1s-state is deeply bound due to the strong Coulomb field, for Z> 173 it even enters as a resonance the lower continuum of the Dirac-Hamiltonian. In pure Rutherford scattering no qualitative indication for the filling of a dynamically created K-hole by the spontaneous positron creation process is predicted, but the study of heavy-ion collisions with nuclear time delay due to the attractive nuclear force promises clear signatures for the decay of the vacuum. Emphasis is laid also on the quantitative influence of the electron-electron interaction and of E0-transitions in the giant nuclear system on positron emission, the latter treated in a classical approximation. We compare our results with recent experimental data of two different groups at GSI, Darmstadt.

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Theory of molecular-orbital and compound-nucleus x-ray emission in heavy-ion-atom collisions with nuclear sticking

Cited by 27 publications

References 27 publications

United-atomK x-ray production in nuclear reactions

United-atomK x-ray production in nuclear reactions

Atomic and Nuclear Analytical Methods

Positrons from supercritical fields of giant nuclear systems

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