3) The transition rate 2, in seconds, and the hindrance parameter, o, may be estimated from In 2 = 133.75 -66o -3.97Zp(Ta)½ , o = s = 0.002la(la+1) where Zp is the atomic number of the daughter nucleus, and Ta is the kinetic energy of the a-particle in MeV, la is the angular momentum of the a-particle. The partial decay scheme of Am by a-emission to the various level of Np is shown in the figure below (with the spin-parity, energy of the levels and the branching ratio of the indicated transition). The Q-value of a-decay from the ground state to the ground state is 5.63 MeV. Assume R= (RptRa). a) Estimate (as accurately as possible) the half life time of "Am 241 b) Calculate the Coulomb potential barrier of the nucleus. "5/2 241 85% 0.0592 MeV 95Am "5/2 +7/2 0.033 *5/2– 0.00 Np 237 93

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3) The transition rate 2, in seconds, and the hindrance parameter, o, may be estimated
from
In 2
133.75 -666 -3.97ZD(Ta)½ , 6
= 0.002la(la+1)
where ZD is the atomic number of the daughter nucleus, and Ta is the kinetic energy
of the a-particle in MeV, la is the angular momentum of the a-particle. The partial
decay scheme of Am by a-emission to the various level of "Np is shown in the
figure below (with the spin-parity, energy of the levels and the branching ratio of the
indicated transition). The Q-value of a-decay from the ground state to the ground state
is 5.63 MeV. Assume R= (Rp+Ra).
241
a) Estimate (as accurately as possible) the half life time of Am
b) Calculate the Coulomb potential barrier of the nucleus.
5/2
241
85%
5Am
5/2
0.0592 MeV
+7/2
0.033
*5/2–
0.00
237
Np
93-
Transcribed Image Text:3) The transition rate 2, in seconds, and the hindrance parameter, o, may be estimated from In 2 133.75 -666 -3.97ZD(Ta)½ , 6 = 0.002la(la+1) where ZD is the atomic number of the daughter nucleus, and Ta is the kinetic energy of the a-particle in MeV, la is the angular momentum of the a-particle. The partial decay scheme of Am by a-emission to the various level of "Np is shown in the figure below (with the spin-parity, energy of the levels and the branching ratio of the indicated transition). The Q-value of a-decay from the ground state to the ground state is 5.63 MeV. Assume R= (Rp+Ra). 241 a) Estimate (as accurately as possible) the half life time of Am b) Calculate the Coulomb potential barrier of the nucleus. 5/2 241 85% 5Am 5/2 0.0592 MeV +7/2 0.033 *5/2– 0.00 237 Np 93-
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