1. Description of t-band in 182Os with HFB+GCM
Yukio Hashimoto
　　Graduate School of Pure and Applied Sciences,
　　University of Tsukuba, Tsukuba, Ibaraki , Japan
Takatoshi Horibata
　　Department of Software and Information Technology,
Aomori University, Aomori, Aomori , Japan 1

2. Contents 1. Introduction 2. Three-dimensional Cranking
3. Tilted states and GCM
4. Concluding remarks 2

3. 1. Introduction: general rotation mode3

4. x x z y y (high K t-band) x x z z y y ω ω wobbling motion
tilted axis rotation
(high K t-band) x x ω ω z z y y 4

5. wobbling band
Odegard et al.
Phys.Rev.Lett.86(2001), 5866 ω 5

6. P.M.Walker et al., Phys. Lett. B309(1993), 17-22.
g-band
t-band ω 6
P.M.Walker et al., Phys. Lett. B309(1993),

7. 182Os
t-band
(even component )
g-band 7
P.M.Walker et al., Phys. Lett. B309(1993),

8. theoretical frameworks
TAC
　　　*S. Frauendorf, Nucl. Phys. A557, 259c(1993)
　　　*S. Frauendorf, Nucl. Phys. A677, 115(2000).
　　　*S. Frauendorf, Rev. Mod. Phys. 73, 463(2001).
HFB+RPA
　　　 *M. Matsuzaki, Nucl. Phys. A509, 269(1990).
　　　 *Y. R. Shimizu and M. Matsuzaki, Nucl. Phys. A588, 559(1996).
　　　 *M. Matsuzaki, Y. R. Shimizu and K. Matsuyanagi,
　　　　 Phys. Rev. C65, (R)(2002).
　　　　 Phys. Rev. C69, (2004)
HFB+GCM
　　　 *A. K. Kerman and N. Onishi, Nucl. Phys. A361, 179(1981).
　　　 *N. Onishi, Nucl. Phys. A456, 279(1986).
　　　 *T. Horibata and N. Onishi, Nucl. Phys. A596, 251(1996).
　　　 *T. Horibata, M. Oi, N. Onishi and A. Ansari,
　　　　 Nucl. Phys. A646, 277(1999); A651, 435(1999).
　　　 *Y. Hashimoto and T. Horibata, Phys. Rev. C74, (2006)
　　　 *Y. Hashimoto and T. Horibata, EPJ A42, 571(2009). 8

9. 2. Three-dimensional cranked HFB
A.K.Kerman and N.Onishi, Nucl.Phys.A361(1981),179 9

10. Constraints for HFB calculationψ x x z y y 10

11. Starting points of tilted wave functionsω 11

12. Energy vs tilt angle 18
J = 18 ψ x ψ z
TAR y y 12

13. j // ω ω 13

14. TAR states and K=8 band TAR K ～ const. tilt angle (degree) 14
30 * sin(15°) = 7.8
28 * sin(16°) = 7.7
26 * sin(17°) = 7.6
TAR
24 * sin(18°) = 7.6
22 * sin(20°) = 7.5
18 * sin(24°) = 7.3
tilt angle (degree) 14

15. TAR states ( K=8 band)
angular momentum　J 15

16. t-band 3. Tilted states and GCM odd even g-band 16
P.M.Walker et al., Phys. Lett. B309, 17-22(1993). 16

17. s-branches 28 26 24 ψ 22 ψ 17

18. Energy splitting in tunneling effectーΨ V D
D, V smaller
ΔE larger 18

19. V odd t-band even g-band 19
P.M.Walker et al., Phys. Lett. B309(1993), 19

20. ∫ Energy splitting in GCM wave function
generator coordinate　a : tilt angle ψ ∫
wave function
HFB solution at a
Cf. T.Horibata et al., Nucl.Phys.A646(1999), 277.
M.Oi et al., Phys. Lett. B418(1998), 1.
　Phys. Lett. B525(2002), 255. 20

21. GCM amplitudes　(J = ２４,２６,２８)
（ΔE= 93 keV）
ΔE=252 keV
ΔE=130 keV 21

22. 4. Concluding Remarks
　　1. We have microscopically calculated three-dimensional rotation.
　　2. The TAR states are expected to be the members of
　　a band with K = 8 (t-band).
　　　 experimental results by Walker’s group.
　　3. GCM calculations (refinement) are in progress. 22