Study of scattering of deuterons

from 11B

N. Burtebayev

Almaty

Julie 3 2015

The purpose of the project:

Experimental and theoretical study of the structure of

the excited states, including the halo-state neutron-riched

of 11B from the analysis of the scattering of charged

particles.

Project objectives:

Measurement of differential cross sections for scattering of

deuterons and alpha particles in the nuclear isotope 11B in a wide

angular range.

An analysis of the differential cross sections for elastic scattering of

deuterons and alpha particles by nuclei 11B in the optical model and

coupled-channel method.

Evaluation of the contribution of the transfer of alpha-cluster in to

cross section of alpha-particle scattering on nuclei of B11

Isochronous cyclotron U-150M.

In 1972 he transferred to the isochronous mode with controlled ion energy protons: 6-30 MeVdeuterons: 12-25 MeVions of helium-3: 18-62 MeVions of helium-4: 25-50 MeV.

Heavy ion accelerator DC-60

With modes accelerating heavy ions with an energy of 0.3 MeV to 1.75 MeVper nucleon for nuclei of lithium to xenon

Nuclear physics

Investigations of nuclear reactions mechanism and structure

of light and middle nuclei in range of low and mean energies

Investigations of exchange reactions and radiation capture

for astrophysical applications and problem-solving in thermo-

nuclear fusion and thermonuclear plasma diagnostics

Investigations of inclusive cross-sections of nuclear reactions,

related to establishment of nuclear-power facilities

of new generation (ADS)

Experimental data on transuranium elements fission yields,

occurring in hybrid nuclear facilities

Search of neutron halo in ½+ excited state of 13C and 9Be

7/2-

5/2-

3/2-

1/2+

5/2+

π-band σ-band

0.0

2.0

4.0

6.0

8Be+n

0.00 1/2-

3.09 1/2+

12C + n

13C

9Be

h2/2J 0.525 0.386

Fig. from T.Togashi et al.,

Int. J. Mod. Phys. E17 (08) 2081

3/2+

7/2-

5/2-

3/2-

1/2+

5/2+

π-band σ-band

9Be + α, Eα=35.5 MeVData from R.J.Peterson

Neutron halo in 9Be*

h2/2J 0.525 0.386

10 20 30 40 50 60 7010

-3

10-1

101

103

cm

dd

(m

b/s

r)

1.68, 1/2+

x 10

3.05, 5/2+

x10-1

0.00, 3/2-

x 10

E, MeV, Iπ Rdif, fm Rrms, fm

0.00, 3/2- 5.18 ± 0.03 2.37

1.68, 1/2+ 6.38 ± 0.14 3.50 ± 0.15

2.43, 5/2- 5.25 ± 0.05 2.42 ± 0.07

3.05, 5/2+> 6.3 > 3.1

6.38, 7/2-5.27 ± 0.13 2.39 ± 0.14

0 20 40 60 80 100 120 140

0

50

100

150

200

14

.08

MeV

12

.71

MeV

10

.84

MeV

9.6

4 M

eV7

.65

MeV

4.4

4 M

eV

Gro

un

d s

tate

11B(a,t)

12C

780

Nu

mb

er o

f co

un

ts

Channel number

Exemplary energy spectra

products of nuclear reactions

Typical ΔЕ-Е -distribution of charged

particles

Lower locuses - singly charged

particles, the upper – double-

charged..

0 50 100 150 200

0

1000

2000

3000

4000

5000

6000

7000

co

un

ts

channel

g.s.

12C g.s.

2,125 MeV

4,445 MeV

5,02 MeV

6,742 MeV

7,285 MeV

0 20 40 60 80 100 120 140 160 18010

-2

10-1

100

101

102

103

104

1/10

*10

27.7 MeV

13.6 MeV

d

/d

[m

b/с

р]

с.м.

[angle]

14.5 MeV

11B(d,d)

11B

E

MeV

Type V

MeV

rv

fm

Av

fm

W

MeV

Rw

fm

Aw

fm

2/

13.6 А 80.70 1.17 0.993 33.94 1.322 0.516 32.33

14.5 В 86.8 1.17 0.993 7.040 1.322 0.945 30.17

27.7 С 83.13 1.17 0.844 16.251 1.322 0.813 27.7

0 20 40 60 80 100 120 140 160 180

1x10-5

1x10-4

10-3

10-2

10-1

100

101

102

103

104

105

d

/d

[m

b/с

р]

ÑÌ

, angle

6.743 MeV, 7/2-

4.445 MeV, 5/2-

11

B()11

B

E=40 MeV

g.s., 3/2-

The symbols - an experiment; solid line

- calculations for OM and the coupled

channel method.

Calculations are made with inelastic

deformation parameters:

β2 = 0.4; β4 = 0.1

0 20 40 60 80 100 120 140 160 180

100

101

102

103

E*= 6.743, 7/2 -

E*= 4.444, 5/2 -

G.s., 3/2 -

d

/d

[m

b/с

р]

с.м.

[angle]

14.5 MeV

11B(d,d)

11B

The problem of obtaining optical potentials from scattering data is greatly complicated

by the fact that in many cases the behavior of the cross sections in addition to the

potential effects of the mechanism of influence of nuclear structure, as well as the

effects of coupled channels method.

For example, in the case of interaction of helium nuclei with light nuclei with a

pronounced cluster structure is observed anomalous scattering back, not inexplicable

optical model.

20 40 60 80 100 120 140 160 18010

-1

100

101

0.0 Ì ýÂ, 1+

2.18 Ì ýÂ,3+

E=50,5 MýÂ

6Li(,)

6Li

c.ц.м.

, ãðàä

d

/d

, ì

áí/ñ

ð

20 40 60 80 100 120 140 160 18010

-3

10-2

10-1

100

101

0.0 Ì ýÂ, 1+

2.18 Ì ýÂ,3+

Eh=60 MýÂ

6Li(

3He,

3He)

6Li

с.ц.м.

, ãðàä

d

/d

, ì

áí/ñ

ð

The experimental angular distribution of scattering processes

alpha particles and ions 3He on nuclei 6Li

0 20 40 60 80 100 120 140 160 180

Eh=60 MeV

103

100

101

10-1

10-2

102

102

0.0 MeV,3/2-

Eh=42MeV

7Li(

3He,

3He)

7Li

d

/d

, м

бн/с

р

с.ц.м.

,град0 20 40 60 80 100 120 140 160 180

Eh=50MýÂ

102

100

101

10-3

10-2

101

10-1

102

10-4

103

Eh=60MýÂ

9Be(

3He,

3He)

9Be

d

/d

, ì

áí/ñ

ð

ñ.ö.ì ., ãðàä

The differential cross sections for elastic scattering of 3He ionson nuclei 7Li and 9Be

symbols - the experimental data and the dashed line calculation of the optical

model with the potential V, dashed - the calculation of the cross sections of

heavy disruption to the same potential, solid line - the sum of the two sections.

Spectroscopic factors derived from the analysis of experimental data on elastic and inelastic scattering of 3He and alpha-particles

on nuclei 6Li, 7Li and 9Be

The contradictions of theoretical and experimental spectroscopic factors for the excited states

may have different reasons - it is used by the internal inaccuracies of the wave functions of the

nuclei of lithium, a possible contribution to the response of more complex processes, such as the

transfer of multiple clusters or replacement mechanisms described triangular diagrams.

А Ex,

MeV

J Configuration Sexp Stheory

6Li7Li9Be

0

2.185

0

0.478

4.63

0

0

0

1+

3+

3/2-

1/2-

7/2-

3/2-

3/2-

3/2-

2S(+d)

2S(3He+t)

2D(+d)

1D(3He+t)

2P(+t)

2P(+t)

(+t)

2S(3He+4H)

3S(+5He)

2P(3He+6He)

1.39

0.5

0.5

1.14

1.03

0.26

0.28

0.26

1.0

0.22

0.93-1.07

0.5-0.9

1.0

1.0

1.19

1.0

1.0

0.81

0.236

The contribution of transfer of clusters in the cross section of nuclear

reactions

-20 0 20 40 60 80 100 120 140 160 180 20010

-4

10-3

10-2

10-1

100

101

102

103

6Li(d,d

0)

6Li,

14.7 MeV

- experimental

data

- ser. A

- ser. B

- ser. C

- ser. D

c.m.

[deg]

d/d

[mb/

sr]

0 50 100 15010

-2

10-1

100

101

102

103

d/d

, м

б/с

р

11

B +

E = 40 МэВ

осн.сост. 3/2-

0 50 100 15010

-2

10-1

100

101

Ex= 4.445 МэВ

5/2-

The experimental method of determining the cluster formations in nuclei in elastic interactions

20 40 60 80 100 120 140 160

10-1

100

101

102

103

104

105

d

/d

, [м

бн

/ср

]

с.ц.м.

, [град]

12C(

16O,

16O)

12C

E16O

= 28 МэВ

Abnormal rise section at large

angles (more than 1000)

in the elastic scattering due to

the transfer of alpha-cluster

from the incident particle (16O)

to the target nucleus (12C).

transfer

alpha-cluster

Angular distributions of tritons from

the reaction 7Li(d, t)6Li,

corresponding to transitions to the

ground (1+) and first excited (Ex =

2.186 MeV (3+)) states of 6Li nucleus.

Squares - experimental points. Curves

- calculations with OM 2: Solid

curve - all couplings are taken into

account, dashed curves - all couplings

in the 7Li(d, t)6Li process but without

the contribution of α-particle transfer,

dotted curves - transfer mechanism

with α-particles exchange in the7Li(d, 6Li)t reaction. Dashed-dotted

curve - calculation of the reaction7Li(d, t)6Li without coupled channels

processes (distorted waves with a

finite radius of interaction).

The contribution of the transfer of t - cluster in the cross section of nuclear

reactions of boron-11

20 40 60 80 100 120 140 1600,1

1

10

d

/d

[m

b/с

р]

c.m.

11

B(d,t)10

B

Ed lab.

= 14.5 MeV

0 20 40 60 80 100 120 140 160 180 200

10-2

10-1

100

101

d

/d

[m

b/с

р]

g.s.

c.m.

E=40 MeV11

B(a,t)11

B

Thank you for attention!