sd-shell ???????

1
?????????? sd-shell ???????
???? (????) Myaing Thi Win (????)
L
1. sd????? 2. ?????????? ???? 3. Skyrme
?????????????????? ??? 25LMg, 27LMg, 27LSi,
29LSi 4. Summary
2
????sd ?????
???????????????? L???????????????????????????

• ??????????????????????????????

????(??)?? 7LLi ???? B(E2) ???
K. Tanida et al., PRL86(01)1982
http//lambda.phys.tohoku.ac.jp/tamura/hyperball/
press/press.htm
3
2????????(????? ????????????????)
r
K. Tanida et al., PRL86(01)1982
E2 ??????
B(E2) ???
E2 ????
???
T. Motoba, H. Bando, K. Ikeda, PTP70(83)189 E.
Hiyama, M. Kamimura, K. Miyazaki, T. Motoba,
PRC59(99)2351
eE2 0.667 e for a d 0.673 e for 5LHe
d
4
???????????????
sd ??
????? ???
p ??
http//atom.kaeri.re.kr/ton/nuc6.html
5
???????????????
????????
6Li a d ???????
?????????? ????????(????)
Be ?????????????????? (?????????????????threshold
rule)
6
????(????)??????
http//t2.lanl.gov/tour/sch001.html

• ??? open-shell ????????????????

• ??????????
• (??)?????????

• ???? B(E2)

B(E2) ????????????????
7
sd ??????????
????????
???????
L ??????????????? ???????
8
??????????????
???????????????????
??????????????
????????????????????? ???(????????)
??????????????
??????????? ??????(????????)
9
Hartree-Fock ?????
H ???(????????) H ??????????????????
????(???)??
?? ????????????????????????
??????????? ???? ??????????(?????)??????
???????????

• ????? HF ???????
• ?????

???
???????????????????? ??????? ????????????
??????
10
???????????????

• Skyrme ? (????????????????)
• Gogny ? (???????????)
• ??????????(????????????)

M.V. Stoitsov et al., PRC68(03)054312
11
???????
J. Zofka, Czech. J. Phys. B30(80)95
VNN 3 range Gauss VLN 2 range Gauss
???????????????

• ???????????????(???)???????? 5 ??
• ????b 0.5 b0.475

12
????????
Zhou et al. ??? Skyrme-Hartree-Fock BCS ??
(??????????????)

• ???????????????
• ??
• ???? L ???????
• ?????

X.-R. Zhou et al., PRC76(07) 034312
13
????????
Zhou et al. ???? Skyrme-Hartree-Fock ??
Relativistic Mean-Field (RMF) approach ???????
??????
(V ? S ?????????)
L ??? V ? S ?????? ???(RMF ???)
cf. D. Vretenar et al., PRC57(98)R1060
14
??????????? RMF ??
quark model
17LO
cf. D. Vretenar et al., PRC57(98)R1060
Ls and Lw couplings
????
etc.
??????(iteration)
15
??????????? RMF ??
??????(iteration)
(intrinsic) ????????
?????????

• ????????? NL3 ?? NLSH
• ?????
• ??????? Constant ?????????
• L ?? the lowest energy level (Kp 1/2)
• ???????????????????
• ????????

(MeV)
(fm)
16
Ne isotopes
Si isotopes

• ?????????????????????????
• ?????????????????????

Skyrme-Hartree-Fock ??(Zhou et al.) ??????
L
?? 29LSi
?????(28Si) ?? (29LSi)
Myaing Thi Win and K.H., PRC78(08)054311
17
???????(?????? Hartree-Fock)
????????????????? L ?????? ?????????
NLSH ??????????????????(constant G ?? ???)???????
Myaing Thi Win and K.H., PRC78(08)054311
18
?????????Hans-Josef Schulze ? ?????????? Skyrme-Ha
rtree-Fock ???????

• ??? RMF ??? L ??????
• ????SHF ?????????
• (??????????????)
• ???????????????

H.-J. Schulze, Myaing Thi Win, K.H., H. Sagawa,
PTP123(10)569
???????????? ??????
19
??????3???? Hartree-Fock ??
????????????????(????????)
?????????(?????)???? L ??????
q,f
z
????????????
20
??????3???? Hartree-Fock ??
???????? ????????????????????????? ??????????????
?(????)
3?? (b,g) ????????????????? ????????????
21
????????? Skyrme-Hartree-Fock ??
3??????????????? Skyrme-Hartree-Fock ??? ????

• 3????????(?????????????)
• ??????????(???????)
• ?????????? ev8
• P. Bonche, H. Flocard, and P.-H. Heenen,
• NPA467(87)115, CPC171(05)49

?????????
M. Rayet, NPA367(81)381
????????????????? No.1 ? SGII (NN) (Y.
Yamamoto, H. Bando, and J. Zofka,
PTP80(88)757) ???????????????????? BCS ????? L
????????????????
22
24Mg, 25LMg
L
Myaing Thi Win, K.H., T. Koike, arXiv1010.5561
nucl-th
23
26Mg, 27LMg
L
Myaing Thi Win, K.H., T. Koike, arXiv1010.5561
nucl-th
24
??

• L ??????????????
• ?????? drive ???
• ( L ??????????)
• b ???????????????
• ???????

24Mg, 26Mg, 26Si, 28Si ???? ????? L ????? g
??? ?????????????
????????? (22 ????????)
????????RPA or GCM
25
???
L ?????????????????

• sd ??????????????????
• RMF L ??????????
• 28Si ???? L ????????????
• SHF L ????????????????????????

• 3????
• g ?????????????

• ??????
• ??????????????????????

• ??????(???????)
• GCM or RPA (???????)

• RMF ?3??????????????????