Unitary Correlation Operator Method
Unitary Correlation Operator Method
Unitary Correlation Operator Method
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Afnan-Tang S3M Potential<br />
Spin-Isospin Dependent NN-Potentials<br />
Spin-Isospin Dependent Central Interaction<br />
• central two-body potential expressed by projection<br />
operators ΠST on spin S and isospin T<br />
v = <br />
S,T<br />
• e.g. Afnan-Tang S3M potential<br />
vST (r) ΠST<br />
Spin-Isospin Dependent Correlator<br />
• unitary transformation depending on the (S, T ) quantum<br />
numbers of the particle pair (two-body space)<br />
<br />
c = exp −i <br />
= <br />
S,T<br />
g ST ΠST<br />
S,T<br />
exp(−i gST ) ΠST = <br />
cST ΠST<br />
S,T<br />
• different correlation function R ST<br />
+ (r) for each (S, T )component<br />
of the potential<br />
[MeV]<br />
100<br />
50<br />
0<br />
-50<br />
-100<br />
[fm]<br />
0.2<br />
0.15<br />
0.1<br />
0.05<br />
0<br />
vST (r)<br />
ST =<br />
01<br />
10<br />
00 & 11<br />
R ST<br />
+ (r) − r<br />
0 1 2 3<br />
r [fm]<br />
[Phys. Rev. 175 (1968) 1337], [Nucl. Phys. A371 (1981) 79]<br />
R. Roth
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