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Volumn 80, Issue 4, 2009, Pages

Hindrance of complete fusion in the Li8+Pb208 system at above-barrier energies

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EID: 70350759671     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.80.044605     Document Type: Article
Times cited : (28)

References (52)
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    • note
    • For radioactive nuclei with decay constant λ that are being produced at some rate P, the respective activity A follows the well known decay law dA/dt=λ(P-A). If only one cycle of the pulsed beam is considered, the solution can be given by two functions, one valid during the time (ton) that the beam is on (A1) and the other one valid afterwards (A2): A1(t)=P(1-e-λt),A2(t)=A1(ton)e-λ(t-ton). The integral of A2(t) over any time interval can thus be easily related to P and therefore to the respective cross section. This method, with the additional assumption that each beam-on cycle contributes only to the counts in the two succesive beam-off periods, was used by one group (ININ) to deduce the cross sections for At212 production. Alternatively, the periodic step function P corresponding to a whole experimental run can be used in the decay law and an exact numeric solution for A can be found. This method was used by the second group (Hope College). For the case of At211 the procedure is somewhat simpler but the detailed history of the bombardement must be taken into account.
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