+ Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

++Joint Institute for Nuclear Research, Dubna, Russia

ON E0 TRANSITIONS BETWEEN 0+ STATES IN

THE SAME NUCLEUS

V. P. Garistov+O.K. Egorov

A.A. Solnyshkin++

The experimental information on a large sequences of states with J = 0+

In a given nucleus is quite a lot. The theoretical approaches that are able to explain and correctly describe all the

data in this respect are seemingly in debt to the experiment

20 02

monH R R R R

1( 1)

2 m

jmR j-mj-m j-m

j-m jmm

1R (-1)

2

+1

4 +

0 jm jm j-m j-mR -m

( )

2j 1

2

,...m j j

0 ± ± + - 0[R ,R ] = ±R [R ,R ] = 2R

+ + +- +R = 2Ω - b bb R = b 2Ω - b b

+0R = b b - Ω

+[b,b ] 1 + +[b,b] = [b ,b ] = 0

2 2R b bb R b b b

0R b b

Holstein Primakoff transformation

+ + +monH = b b + bB bbA b + C

2E(n) = n + BnA + C

20 02

monH R R R R

0

4

n

E

[ M

eV ]

E=an+bn2

0 2 4 6 8 10 12 14 16 18 20

0,0

0,5

1,0

1,5

2,0

2,5

3,0

3,5

En

erg

y [M

eV]

Number of Monopole Bosons ( n )

S. R. Lesher, A. Aprahamian et al. (to be published)

V. P. Garistov rearrangement E0(n)=an-bn2

a=0.611, b=0.029913 Estimated Variance -> 0.00524058 Previous data

158Gd

0 2 4 6 8 10 12

0,0

0,5

1,0

1,5

2,0

2,5

Me

V

n

a=0.77795b=-0.06757

158Dy

0+

-2 0 2 4 6 8 10 12 14 16

0,0

0,5

1,0

1,5

2,0

2,5

a=0.58218b=-0.03338

Me

V

n

168Er0+

0+

mishmash

0 5 10 15 20 250,0

0,5

1,0

1,5

2,0

2,5

3,0

3,5

4,0

0 2 4 6 8 10 12 14 160,0

0,5

1,0

1,5

2,0

2,5

1 2 3 4 5 6 7 8 9 10 11 12

0,5

1,0

1,5

2,0

2,5

0 2 4 6 8 10 12 14 160,0

0,5

1,0

1,5

2,0

2,5

MeV

n

a=0.80244b=-0.03282c=-1.30713

162Er

2+

n

2+

168Yb

a=0.55638b=-0.03817c=0.38816

MeV

n

168Er

6+

a=1.32377b=-0.09788c=-2.15658

n

a=0.5235b=-0.03604c=0.49834

168Yb

4+

ОБНАРУЖЕНИЕ ВОЗБУЖДЕННОГО 0+-СОСТОЯНИЯ В ЯДРЕ 160DY С ЭНЕРГИЕЙ 681.3 КЭВ

И.Адам, Д.Д.Богаченко, В.П.Гаристов, О.К.Егоров, Т.А.Исламов, В.В.Колесников, В.И.Силаев,

А.А.Солнышкин,

0 2 4 6 8 10

-0.5

0

0.5

1

1.5

2

ЭН

ЕР

ГИ

Я С

ОС

ТО

ЯН

ИЯ

, М

эВ

ЧИСЛО БОЗОНОВ

0+-СОСТОЯНИЯ

160Dy

Модель взаимодействующих бозонов

FR Er. П-2. 24.03.72. СП-3. tэ=24 часа. Объектив 8*. h=20 мкм. 1 проход. H=581 Гс.

700 000

900 000

1 100 000

1 300 000

1 500 000

1 700 000

1 900 000

2 100 000

2 300 000

2 500 000

2 700 000

2 900 000

3 100 000

3 300 000

3 500 000

13000 18000 23000 28000 33000 38000 43000 48000 53000 58000 63000 68000 73000 78000

Y, мкм

N

578 628 678 728 778 828 878 928 978 1028 1078

Рис. I-2I

FR Er. П-2. 24.03.72. СП-3. tэ=24 часа. Об. 8*. h=10 мкм. DY=20 мкм. 8 проходов. H=581 Гс. Wрасч = 80 мкм.

-40 000

-20 000

0

20 000

40 000

60 000

80 000

100 000

120 000

140 000

160 000

180 000

18300 18400 18500 18600 18700 18800 18900 19000 19100 19200 19300 19400 19500 19600 19700 19800 19900 20000

Ee, кэВ - Y, мкм

N

617,6 618,6 619,6 620,6 621,6 622,6 623,6 624,6 625,6 626,6 627,6 628,6 629,6

Рис. I-2I

Григорьев: ΣI=0.031 ΣI=0.14

K672.35I=0.020

K673.09I=0.025

K681.3I=0.046

K682.3I=0.094

1952.3 (n=4)

1708.2 (n=3)

1456.7 (n=8)

1280.0 (n=2)

681.3 (n=1)

86.8 0.0 (n=0)

0+6

0+5

0+4

0+3

0+2

2+1

0+1

160Dy

0.015

0.033

<0.005

0.053

0.020

<0.005

<0.005

0.039 0.0024

<0.005

0.046

1952

.3

1708

.2

1456

.7

1280

.0

681.

3

1271

.0

1026

.9

775.

4

598.

767

2.3

428.

2

176.

7

495.

6

251.

5

244.

1

594.5Iγ < 0.3

2+ 2503.8

1822.5 {1822.4(3)}Iγ=0.24 Изв. РАН,2002

X > 0.66

0.024

FR Er. П-2. 24.03.72. СП-3. tэ=24 часа. Об. 8*. h=10 мкм. DY=20 мкм. 8 прох. (-4 ÷ -1; +3 ÷ +6). H=581 Гс. w=95 мкм.

-20 000

-10 000

0

10 000

20 000

30 000

40 000

50 000

60 000

70 000

80 000

94000 94100 94200 94300 94400 94500 94600 94700 94800 94900 95000

Ee, кэВ - Y, мкм

N

1215,1 1216,1 1217,1 1218,1 1219,1 1220,1 1221,1 1222,1 1223,1

Рис. I-2I

K1271.89I=0,096

K1271.0I=0,024

K1274.25+K1276.0

ΣI=0.12

Усредненный спектр по 2 ф/п FR Er П-2 и FR Er П-8. Об. 8*. h=10 мкм. DY=20 мкм. w=95 мкм.

-10 000

0

10 000

20 000

30 000

40 000

50 000

60 000

62200 62400 62600 62800 63000 63200 63400 63600 63800 64000 64200 64400 64600 64800 65000 65200

Ee, кэВ Y, мкм

N

957,6 959,6 961,6 963,6 965,6 967,6 969,6 971,6 973,6 975,6 977,6 979,6

Рис. I-2I+II*

1

(M1-M5)-966,18 160Dy

4

K-1026,90 160Dy2

K-1022,62 160Dy

3K-?

5K-?

I=0.53

I=1.40

I<0.3

593.5

595.3

594.5

X( (E0/E2) = 0.628235

N[17/An^(2/3)

X(X0/E2) = 0.576814

An=160;r0=1.02*An^(1/3);be2=5.94*0.01*An^(4/3);ro=0.7/An^(1/3);ea=1.44;ea^2*r0^4*ro^2/be2

Митропольский И.А. (теор.)препринт ЛИЯФ, 1095, 1985 г. наша оценка (эксп.)

X(X0/E2) > 0.66

NEW 0+- EXCITED STATE WITH THE ENERGY OF 681.3 KEV IN 160DY NUCLEUS J.Adam1, D.Bogachenko2, V.P.Garistov3, O.K.Egorov2, T.A.Islamov1, V.V.Kolesnikov2, V.I.Silaev2, A.A.Solnyshkin1

1)Joint Institute for Nuclear Research, Dubna, Russia2)Institute Theoretical and Experimental Physics, Moscow, Russia

3)Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

The theoretical calculations [1] predict existence of a 0+ state with energy ~700 keV in 160Dy nucleus. For finding-out of existence of this 0+ state we measure β-spectrograms of [2] DLNP JINR for fractions Er (two photographic plates) and Ho (one photographic plate) using universal installation МАС-1 in ITEP [3]. At the analysis it was found out, that on all three photographic plates to the left of known line EIK with energy 682.3 keV below by energy on 1 keV, the peak comparable by intensity with the specified line is confidently observed. Our attempts to carry the mentioned peak to a conversion line or to any of known from the literature [4] γ-transitions in 160Dy nucleus have not crowned with success. Then we proposed, that this peak is probably caused by new transition with energy 681.3 keV, unloading the corresponding new raised state with energy 681.3 keV to the ground state. Except for the specified state, from experiment four more states with excitation energies 1280.0, 1456.7, 1708.2 and 1952.3 keV are known. Considering, that from these levels transitions to the entered by us 681.3 keV level are possible, we have undertaken searches of such transitions. As a result one of such transitions with energy 1271.0 keV, between states 1952.3 and 681.3 keV, has been found out. In spite of that this fact already is powerful enough argument in favour of existence of a state 681.3 keV in a nucleus 160Dy, searches of other transitions now proceed.1. A.A.Solnyshkin, e.a. // Phys. Rev. C. 2005. V.72. P. 064321-1.2. Abdurazakov A.A. e.a. “Beta-spectrographs with constant magnets”, Tashkent, Uzbekistan, 1972.3. Egorov O.K. e.a. JTF. 2003. V. 48, № 3.4. I.Adam e.a.// Izv. RAN, ser. Fiz. 2002. V.66. P.1384 and C.W. Reich // Nuclear Data Sheets 105, 557 (2005).

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