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On the Relevance of Repetition, Recurrence, and Reiteration.

On the Relevance of Repetition, Recurrence, and Reiteration.

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that are involved in a collision are toge<strong>the</strong>r, <strong>the</strong> pair may encounter a third unit. Theconsequences <strong>of</strong> <strong>the</strong> three-particle encounter may well be quite different from <strong>the</strong> result<strong>of</strong> any two-particle interaction. The next two sections describe cases in which futureevents are strongly influenced by persistence <strong>of</strong> an intermediate aggregate.IIIThe current underst<strong>and</strong>ing <strong>of</strong> <strong>the</strong> origin <strong>of</strong> <strong>the</strong> elements (Cox, 1989) provides agood example <strong>of</strong> how finite lifetime <strong>of</strong> a complex species is critical in determiningsubsequent events. The 'big bang' produced a great deal <strong>of</strong> hydrogen <strong>and</strong> helium atoms<strong>and</strong> relatively minute amounts <strong>of</strong> 7 Li, a fairly stable (half-life, 53 days) isotope <strong>of</strong>lithium that has atomic mass <strong>of</strong> 7. Current underst<strong>and</strong>ing is that no atoms heavier thanLi were made in <strong>the</strong> initial processes. Production <strong>of</strong> <strong>the</strong> rest <strong>of</strong> <strong>the</strong> atoms in <strong>the</strong> periodictable is generally understood to have required a processing in stars. It now seems quitecertain that <strong>the</strong> initial step in <strong>the</strong> formation <strong>of</strong> <strong>the</strong> heavier elements was production <strong>of</strong> aberyllium isotope ( 8 Be) that is quite unstable. Like <strong>the</strong> dihydrogen molecule, <strong>the</strong> 8 Benucleus vibrates continually — <strong>the</strong> relative positions <strong>of</strong> <strong>the</strong> eight protons <strong>and</strong> neutronsthat make it up are involved in an elaborate choreography. This fragile nucleus can beproduced from <strong>the</strong> reaction <strong>of</strong> a proton with 7 Li or, alternatively, by highly energeticcollision <strong>of</strong> two helium nuclei. <strong>On</strong>ce <strong>the</strong> first stars began burning hydrogen to helium, itbecame possible to build up enough 8 Be in some stellar interiors that reaction <strong>of</strong> thisfragile nucleus with yet ano<strong>the</strong>r helium nucleus to yield <strong>the</strong> stable carbon nucleus, 12 C,10

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