Transcript Document

JOINT INSTITUTE FOR NUCLEAR RESEARCH
A SEPARABLE APPROXIMATION FOR SKYRME
INTERACTIONS AND CHARGE-EXCHANGE EXCITATIONS
V.V. Voronov
Collaborators: Nguyen Van Giai
and A.P. Severyukhin
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1. Introduction
2. Model
3. Results of
calculations
4. Conclusion
Nguyen Van Giai, H. Sagawa, Phys. Lett. B 106, 379 (1981).
SGII
50
15
Skyrme
LM
Unpert.
Expt.
-
Sn GTR
40
-
10
R (1/MeV)
132
Zr GTR
R (1/MeV)
90
Skyrme
LM
Unpert.
30
20
5
10
0
0
0
10
20
30
40
50
E (MeV)
0
10
20
30
40
50
E (MeV)
SGII
50
50
90
Zr SDR
1
0
T- channel
2
R (fm /MeV)
40
2
R (fm /MeV)
40
-
-
30
30
20
20
10
10
0
10
20
30
40
50
E (MeV)
50
0
10
20
30
40
50
-
Sum
2
R (fm /MeV)
40
2
2
R (fm /MeV)
40
30
20
10
10
20
30
40
50
E (MeV)
Skyrme
LM
Unpert.
Expt
30
20
0
10
50
E (MeV)
0
10
20
30
40
50
E (MeV)
SGII
30
30
-
-
Zr SDR
1
0
R (fm /MeV)
T+ channel
2
2
R (fm /MeV)
90
20
10
20
10
0
0
0
10
20
30
40
E (MeV)
30
0
10
20
30
30
-
Sum
TDA
TDA(LM)
Unpert.
Expt.
2
2
R (fm /MeV)
2
R (fm /MeV)
40
E (MeV)
20
10
20
10
0
0
0
10
20
30
40
E (MeV)
0
10
20
30
40
E (MeV)
SGII
100
100
-
-
Sn SDR
T- channel
70
1
90
80
70
2
2
R (fm /MeV)
80
0
R (fm /MeV)
132
90
60
60
50
50
40
40
30
30
20
20
10
10
0
0
0
10
20
30
40
50
E (MeV)
100
0
10
20
30
40
100
-
2
90
80
Skyrme
LM
Unpert.
70
2
2
70
Sum
90
R (fm /MeV)
80
R (fm /MeV)
50
E (MeV)
60
60
50
50
40
40
30
30
20
20
10
10
0
0
0
10
20
30
40
50
E (MeV)
0
10
20
30
40
50
E (MeV)
SGII
50
50
0
1
40
2
R (fm /MeV)
Sn
T+ channel
40
-
-
2
R (fm /MeV)
132
30
30
20
20
10
10
0
0
0
10
20
30
40
50
E (MeV)
50
0
10
20
30
40
50
40
Skyrme
LM
Unpet.
2
40
Sum
R (fm /MeV)
2
2
R (fm /MeV)
50
E (MeV)
30
30
20
20
10
10
0
0
0
10
20
30
40
50
E (MeV)
0
10
20
30
40
50
E (MeV)
SGII
50
50
126
130
Cd GTR
Cd GTR
40
40
RPA
QRPA
R (1/MeV)
30
20
-
-
R (1/MeV)
RPA
QRPA
30
20
10
10
0
0
0
10
20
30
E (MeV)
40
0
10
20
30
E (MeV)
40
SGII
110
110
90
T- channel
0
90
80
60
70
60
50
50
40
40
30
30
20
20
10
10
0
0
10
20
30
40
50
E (MeV)
110
0
10
20
30
40
50
E (MeV)
110
-
2
100
R (fm /MeV)
90
2
80
2
70
0
80
100
Sum
90
RPA
QRA
80
2
R (fm /MeV)
1
100
R (fm /MeV)
Cd SDR
2
R (fm /MeV)
100
-
-
126
70
60
70
60
50
50
40
40
30
30
20
20
10
10
0
0
0
10
20
30
40
50
E (MeV)
0
10
20
30
40
50
E (MeV)
SGII
110
110
90
T- channel
0
90
80
60
70
60
50
50
40
40
30
30
20
20
10
10
0
0
10
20
30
40
50
E (MeV)
110
-
0
10
20
30
R (fm /MeV)
2
80
70
60
50
E (MeV)
Sum
90
90
40
110
100
2
100
2
80
2
70
0
R (fm /MeV)
1
100
R (fm /MeV)
Cd SDR
2
R (fm /MeV)
100
-
-
130
RPA
QRPA
80
70
60
50
50
40
40
30
30
20
20
10
10
0
0
0
10
20
30
40
50
E (MeV)
0
10
20
30
40
50
E (MeV)
SUMMARY
We have proposed an extension of the finite rank approximation
for Skyrme interactions for the charge-exchange nuclear modes.
As an application we presented results of our investigations of
properties of the Gamow-Teller resonances (GTR) and the spin-dipole
resonances (SDR) in some spherical nuclei.
A comparison of our results with experimental data and other
theoretical calculations demonstrates that our method enables one to
describe well properties of the charge-exchange excitations.
It is shown that the pairing is important for the charge-exchange
excitations in nuclei with open shells.
Thank you for your attention!