超形变带Staggering现象的SU q(2)描述

erator d az liar nmmm tum and L Á = L z ¿ iL , , L o= L z am the Ám pÞ Ä ts of L . Thm ® (2)
T he × eet naE d the Hamiltonian ( 1) is g vg zby the e° Øwaltz i ( l + 1) d the Casimir op1 Ä eratou where t = 0 , 1, 2 , - . T t¤ ¿ gm ¢ atom L + , L - , L o Á n be mapped Ø t he 2 Á 2 fundmz g E red imtion with a peir d indepe E E tal dent b¶ on ope amrs: 1 L + = d a2, L - z d a 1, L o = Ô ( a; a 1 - d a2) = Ô ( N 1 - N z) , whem [ Ã , a; ] = 86 wiÉ ail other brackets vanishing. While the E IE onian of a q - z ô ik otator ã £f the followiz t y p e [ 7 ] zg ( 3)
E Ø
ÕÉ b . zÉ
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an d E E u -
Ê mØ ié d Ê is d Ä m ze zt . Ø
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m E ¥ ô £
d Ê a 4y . t h
k d a²
ÈE b d m Ä » m d
G U O J im Y Á 21. 2 X U F uX in l R U A N T tE ad N 1( º 2( À ô n '" " ' £f M d m Ê '" " ' t of m ¨ cz , h w g o of a m u m w ad a sy , Ø Td Ó . 23¹ Ä ' , Á £f m a ) ô 2í m 7 ' Á m )
= ¹ U + r Ï
Cq
L , ( 8 )
wi th the defini tiÞ
b ; = J Ê
/ I Ni l
Ô 4
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,
b 4
-
J ë J
/ t N s + 1]
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It Ê õ sy m v®¤y [ C2, q ] = 0. ( 20 ) In the ® aÊ d bmic vä tom | IM µ, we have obta nd the eigenvaluÄ d Hamil tonian (8)
A 1 = 4 Ê ,g
g m a
t w t²
tt±
¿
» × "
d h Ä n
EEe y w Ø É
,um
d efm
nd
bm ds , m g
Ø
µ
p t ze u
m m
z. S U , ( 2 )
'" Ø Ø
¢
1
lIn t n
Ma u c t i o n
Sina t he pha u na m h ow n ¿ A I = 4 bi fmÄ t ioh cz stÔ gm E is obm w ed m t h ç w a t supÉ defom ed ( Ü ) band d 2 Gd[1 , the study d su a ge ing p}Ç Ç Ç m has bz td zt s 4' } o man y phyg d st ' s at m m z. A lmF qum d w of e¤ Ä nm tal and thm m id ef f´ has bm a õ nded in the study of A I = 4 bth nÄ 6Þ ¤ o z ttB m pm nm ztd g de[21, vg y few a m p ta e d stagg® ing have beÄ idg ztif id - I TE reti Á l m du vom have yielded a mm be of pzupØ d Ø e¿ 1 1 ions- An intui ti ve e Õ lanadon of this spä ific fm tun is the pE ence d a new G 81 at Ä synm eE y in s Ham iltonianUU or m othe woØ , the pz Ø « of Y 4 dd orz Ø 4 nation m s nuclem . On the othe hand , I N . M i ld1 iov et d - M at t i buted the A I = 4 Mf mØ tiÞ to a ai typi Ø i Þ il eet ive model incl uding tw o quan tized quan ti t iü , the az llE E ® zxmz tL n and ttE a IE K el vi n d z la6on am m atd w ith m in E ing c m i fa m v® t id nm ion - Y - SU N et d . [51PRP w ± d a F ma bil ity of A I = 4 bi fum u on fm E a g zW e tw o beZ d m u un nm t he m st line E t1 1 1gh the usual tw o - body shell model int emct ion - M O Ø V® , th e A I = 4 bi f® Ä tion may 10 1 E d m appÊ r m the U ( 5 ) lim i t d the sdg inte acd zh k ö m nmdel M] . I n th is pep® , the SU q g ( 2 µ sym met id thm w ² tm d m azzd yze the a ù gE iz pha m na m 1 w hich Á n gi ve £ut a zg excel1Ê1t descri ption . 2 A n al ysts o f s ta g w tn g m emo-E en on M S U - ( 2 ) SYEEm a -y , B It is w ell known that the H am il tonian of t he m tator i s of the follow ing tw e a eved 43 »ï ,e E , , tee , - h ob t aepm d bv Na md N¶ ± SdØe Fa - æ· m d Om ( 196º 1« & w n 5044) , BÈ é Ehcum ee e h tum Cotliaon d Nmmal u bg m ® , ca te of Thmm d Nudô R e s a d la ú m Ha v Ion Acede -m h um-l y on " É d N± g RW - d l a À £" Hmw E k eek - m NatmE d u bomso y , NatmzASd, ee Fom Ä Ä n d h ú ² md EdtB 60n Ca m É tee Fotm² thm d M M a z duc¤ n Camz e Fomú úon d Anhud -tte eam
Ú ? 4' Ú 2 Ú A 200 0 ê 2 Â
ß Ü ï í ë Ë ï í
m GH ENERGY PHYSIC AND NUCLEAR PE S WSI·
v d -7 , N£.2 A Feb . , 20 0 0
Descr i pt i on of St agger i ng Phenomenon of t he Super def or med Bands i n SUq( 2 ) SYHE E å lmet Ã
H=¥ ,
Øm L , Ï , J o satisfy the Þ m m tatiÞ mlada m d s q ( 2) [ Jo , J ¿] = À J ¿, [ J + , J - ] = [ 2J el T he q - nmnbers [z ] = ó - ´ a q - q
( 4)
whm q is tk Caamir operaô d SU, ( 2) , q = J ZZ J J + + Je(Jo + 1) . T hm gm Ä ¤
ù ¨ Ñ È :½Î ä ø Stsg g iz Ö ó Ä sq (2) è ö Ø
E´I W i th q = eir
) - I ( I + 1) + [ f ] ² I + 1] 2F Ï
U O
z E ( I ) = a I ( I + 1 ) + b I ( I + 1 )
z + C
m
[ M
181- 184
182
ß Ü ï
í
ë Ë ï
í
Ú? í A
( 1) ² ti z ope
H=æ,
d w tE ü C2 ¹ th e Casim ir op® ator e É SIJ(´ , Czz U = L- L++ L o( L o + 1) , L