[領域] 近代物理                            (題目相關領域)

[來源]  參考書編輯為考古題                 (課本習題、考古題、參考書...)

[題目]

Isospin is a symmetry introduced by Heisnberg to explain some properties of

nuclear interactions involving proton(p), neutron(n), and pion(π).  Proton

is assigned to have isospin l=1/2 with the z-component l_z=1/2(i.e  |1/2,1/2>

or isospin up state)；neutron is assigned to the |1/2,-1/2> state. What will

be the possible isospin state for deuteron? You can copy the idea for the

addition of the angular momentum here to the case of isospin since they

behave the same mathematically. If you know that Δ^+ is assigned to the

isospin |3/2,1/2> state and Δ^+ can decay either to pπ^0  or to nπ^+ ,what

will be the decay percentage for each mode assuming isospin is a good

symmetry? Note that π^+ is an isospin |1,1> state , and π^0 is |1,0> state;

the ladder operator for spin has the following relationship in Natural unit:

S |sm>=√([s(s+1)-m(m+1) ] )|s(m-1)>



[瓶頸]    對態的運算有困難


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不過看見時光的逝去比死亡更痛苦啊

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