Possible cluster preformation in the ${}^{14}C$ decay of ${}^{223}{Ra}$

A recent experiment on the

{}^{14}C

fine structure has shown that the branching ratio to

{}^{209}{Pb}

ground state is quite different from the one predicted by the various models of cluster emission. Assuming that the

{}^{14}C

is preformed in the

{}^{223}{Ra}

nucleus, we have calculated the hindrance factor

F^{14}

C of the three

{}^{14}C

branches to

{}^{209}{Pb}

states with a barrier penetrability approximated by a square-well Coulomb potential. The

F^{14}

C=3.9 and 4.6 values found for the

{}^{14}C

transitions to the two excited states at 779 keV (

I^{π}

=11/

2^{+}

) and 1423 keV (

I^{π}

=15/

2^{-}

), respectively, reveal that the cluster formation amplitudes in both transitions are close to those of the

{}^{222}{Ra}

and

{}^{224}{Ra}

{}^{14}C

decays. Such values could be the result of ‖nlj〉 shell-model components common to both the wave functions of the octupole deformed

{}^{223}{Ra}

nucleus and of the two first excited states of

{}^{209}{Pb}

spherical nucleus. The high hindrance factor

F^{14}

C=583 of the

{}^{14}C

branch to the

{}^{209}{Pb}

ground state (

I^{π}

=9/

2^{+}

) could reveal the absence of ‖1

g_{9 / 2}

〉 shell-model component in the

{}^{223}{Ra}

wave function.

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Possible cluster preformation in theC14decay ofRa223