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Emission of Electromagnetic Radiation


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Transition probability tex2html_wrap_inline93 for tex2html_wrap_inline95 -ray emission of electric (E tex2html_wrap_inline97 ) and magnetic (M tex2html_wrap_inline97 ) multipole quanta from an excited nuclear state tex2html_wrap_inline101 into a lower-lying state tex2html_wrap_inline103 :

  equation18

Relation between the transition probablility tex2html_wrap_inline93 and the reduced transition probability tex2html_wrap_inline107 . tex2html_wrap_inline93 are in units of tex2html_wrap_inline111 , tex2html_wrap_inline113 in MeV, ( tex2html_wrap_inline115 are the nuclear level energies of the initial and final states,respectively), tex2html_wrap_inline117 in tex2html_wrap_inline119 , and tex2html_wrap_inline121 in tex2html_wrap_inline123 with tex2html_wrap_inline125 .

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Relation between the lifetime tex2html_wrap_inline127 or half-life tex2html_wrap_inline129 of an excited nuclear state tex2html_wrap_inline101 and the transition probabilities tex2html_wrap_inline93 :

  equation65

One has to sum over all final states tex2html_wrap_inline103 into which level tex2html_wrap_inline101 can decay and over all multipoles tex2html_wrap_inline97 in the transition tex2html_wrap_inline141 . tex2html_wrap_inline143 is the usual total tex2html_wrap_inline97 -pole conversion coefficient.

Relation between the reduced transition probability tex2html_wrap_inline147 and the lifetime tex2html_wrap_inline149 or half-life tex2html_wrap_inline151 for the special case of a pure E2 decay from an excited state to the ground state:

eqnarray75

with tex2html_wrap_inline127 and tex2html_wrap_inline155 in sec, tex2html_wrap_inline157 in MeV and B(E2) in tex2html_wrap_inline159 .





Hans-Juergen Wollersheim
Fri Feb 11 14:19:13 CET 2000