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The reaction 45 21Sc(d, p)46 21Sc has a Q-value of 6.54 MeV and a resonance when the incident deuteron laboratory kinetic energy is 2.76 MeV. Would you expect the same resonance to be excited in the...

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The reaction 45 21Sc(d, p)46 21Sc has a Q-value of 6.54 MeV and a resonance when the incident deuteron laboratory kinetic energy is 2.76 MeV. Would you expect the same resonance to be excited in the reaction 43 20Ca(α, n)46 22Ti and if so at what value of the laboratory kinetic energy of the alpha particle? You may use the fact that the β decay 46 21Sc→46 22Ti + e− + ¯νe has a Q-value of 2.37 MeV and the mass difference between the neutron and a hydrogen atom is 0.78 MeV/c2.

Answered 122 days After May 22, 2022

Solution

Baljit answered on Sep 22 2022
60 Votes
PHYSICS QUESTION
Now First reaction given is
45Sc21 +d → 46Sc22+ p
Here d is deuteron and p is proton
Q-value given for this reaction is
Q1=6.54MeV
Q1=[(m(45Sc21)+m(d))-(m(46Sc22)+p)]*c2 ……(1)
For Second Reaction
43Ca20+ α → 46Ti22 +n
Q –Value
Q2=[(m(43Ca20)+mα )-(m(46Ti22)+mn]*c2 …(2)
For third reaction β-decay
46Sc21 →...
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