KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor...
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![Page 1: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/1.jpg)
KITPC, Jun 14th, 2012
Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force
Chunlin BaiDepartment of Physics, Sichuan University
Chengdu, China
● Tensor effects on the excited states
● GT and SD constraint on the tensor force● Tests of the constraint
● Recent studies in open-shell nuclei
● Skyrme parameter sets with tensor force
● Conclusion and outlook
![Page 2: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/2.jpg)
KITPC, Jun 14th, 2012
Skyrme parameter sets with tensor force
The tensor terms postulated by Skyrme: Nucl. Phy. 9, 615(1959)
Skyrme parameter sets which include tensor force:
Fl. Stancu et. al, PLB68, 108(1977), B. A. Brown et. al, PRC74, 061303(2006)
T >0,U>0
G. Colò et. al, PLB644, 227(1977), D. M. Brink et. al, PRC74, 061303(2006)
T >0,U<0
T. Lesinski et. al. PRC76, 014312(2007)
G-Matrixinteraction
Single-particleenergies
Ground stateproperties
T ±,U ±
![Page 3: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/3.jpg)
KITPC, Jun 14th, 2012
Tensor effects on GT states
Bai , Sagawa, Zhang, Zhang, Colò, Xu, Phys. Lett. B675, 28(2009)
• Main peak
• Low energy tail
![Page 4: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/4.jpg)
KITPC, Jun 14th, 2012
Tensor effects on Charge-exchange SD
Exp. FromT. Wakasa et. al., PRC 84, 014614(2011)
Bai, Zhang, Sagawa, Zhang, Colò, Xu,PRL 105,072501(2010)
The SD 1- state is shifted downward dramatically by the tensor RPA correlations.
In T43, T >0, U<0In SLy5+Tw, T>0, U>0
![Page 5: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/5.jpg)
KITPC, Jun 14th, 2012
Tensor effects in M1 excitations
Cao, Colò, Sagawa, Bortignon, Sciacchitano, PRC 80, 064304 (2009)
![Page 6: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/6.jpg)
KITPC, Jun 14th, 2012
GT and SD constraint on the tensor force
Bai, Zhang, Sagawa, Zhang, Colò, Xu, PRC83,054316(2011);
The exp.main peak energy of SD and GT in 90Zr and 208Pb can be the constraints by requiring the condition● In TIJ family, only T21, T32, T43, and T54 fulfill the condition; ● SD 1- states strongly constrain the value of T;● Together with SD, GT main peak can be used to constrain value of U.
exp2.5
thE E MeV
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KITPC, Jun 14th, 2012
Tests of the constraints by SD in 16O
Bai, Sagawa, Colo, Zhang, Zhang,PRC 84, 044329(2011)
![Page 8: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/8.jpg)
KITPC, Jun 14th, 2012
Tests of the constraints by IVSM in 90Zr and 208Pb
K. Miki et. al., PRL 2012
![Page 9: KITPC, Jun 14th, 2012 Spin-Isospin excitations as quantitative constraint for the Skyrme tensor force Chunlin Bai Department of Physics, Sichuan University.](https://reader030.fdocuments.us/reader030/viewer/2022020117/56649f155503460f94c2a64c/html5/thumbnails/9.jpg)
KITPC, Jun 14th, 2012
Recent studies in open-shell nucleiHFB+pnQRPA (canonical basis) calculation details:
● In HFB T=1 pairing is adjusted to reproduce the neutron pairing gap of 120Sn
● In QRPA cut-off neutron states with 2 610nv
Choosing of the pairing interaction:
HFB
pnQRPA
The strength of the T=0 pairing is not well evaluated,In N. Vinh Mau, arXiv 0711, 3173 (2007), f=1.36,In our calculation f = 0.0, 0.5, 1, 1.5, 1.7
● In HFB cut-off of the quasi-particle energy: 180 MeV
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KITPC, Jun 14th, 2012
GT excitations in Sn isotopes
T=0 pairing has almost no effect on the main peak energies.
0 5 10 15 20 25 300
2
4
6
8
10
12
14
0 5 10 15 20 25 300 5 10 15 20 25 30
0 5 10 15 20 25 300
8
16
0 5 10 15 20 25 300 5 10 15 20 25 30
GT
str
engt
h (M
eV-1)
112Sn
114Sn
f=0.0 f=0.5 f=1.0 f=1.5 f=1.7
116Sn
GT
str
engt
h (M
eV-1)
Ex (MeV)
118Sn
Ex (MeV)
120Sn
Ex (MeV)
124Sn
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KITPC, Jun 14th, 2012
112 114 116 118 120 122 1246
8
10
12
14
16
18
EG
T M
eV
A
exp T21 T32 T43 T54 Te1 Te2
GT peak energy in Sb isotopes
E
th-E
exp
< 1.5 MeV
GT excitations in Sb isotopes
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KITPC, Jun 14th, 2012
Conclusion and outlook
● Main peak energy of GT and charge-exchange SD transitions in closed shell nuclei can supply good constraint for tensor force;
● In media heavy nuclei such as Sn isotopes, the T=0 pairing force has negligible effects on the main GT peaks;
● GT main peak of media heavy nuclei such as Sn isotopes can also supply good constraint for the tensor force;
● GT excitations in other isotopes and isotonics will be studied;
● Other spin-isospin excitations and the relevant quantities will be studied so as to find constraints for the tensor force.
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KITPC, Jun 14th, 2012
collaboratorsG. Colò, INFN , Italy
K. Miki, RCNP, Japan
H. Sagawa, Aizu univ. Japan
F. R. Xu, PKU, China
H. Q. Zhang, CIAE, China
X. Z. Zhang, CIAE, China
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KITPC, Jun 14th, 2012