α - particle Optical Potential for astrophysical studies M. Avrigeanu and V. Avrigeanu

Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009

αα - particle Optical Potential for astrophysical - particle Optical Potential for astrophysical studiesstudies

M. Avrigeanu and V. Avrigeanu "Horia Hulubei" National Institute for Physics & Nuclear Engineering, Bucharest,

Romania

αα- OMP extended analysis: - OMP extended analysis: 50<A<20950<A<209, , EE~~8-50 MeV8-50 MeV

Analysis of Analysis of αα elastic scattering angular distributions elastic scattering angular distributions @ energies >B@ energies >BCC

Analysis of (Analysis of (αα,,γγ), (), (αα,n), and (,n), and (αα,p) reaction data ,p) reaction data @ energies <B@ energies <BCC

Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009Marilena Avrigeanu 2

-nucleus OMP: OPEN QUESTIONS

OMPs from (,0) @ E>80 MeV: DO NOT DESCRIBE () @ E<40 MeV[Nolte+, Phys. Rev. C 36, 1312 (1987)]

OMPs from (x,) @ E<40 MeV: DO NOT DESCRIBE (α,α0) reactions - astrophysical interest - applied interest: He

damage effects[Avrigeanu+, Phys.Rev. C 49, 2136(1994)]

[Avrigeanu+, Nucl.Phys. A764,246(2006)]

! ?


-nucleus OMP: OPEN QUESTIONS

OMPs from (,0) @ E>80 MeV: DO NOT DESCRIBE () @ E<40 MeV[Nolte+, Phys. Rev. C 36, 1312 (1987)]

OMPs from (x,) @ E<40 MeV: DO NOT DESCRIBE (α,α0) reactions - astrophysical interest - applied interest: He

damage effects[Avrigeanu+, Phys.Rev. C 49, 2136(1994)]

[Avrigeanu+, Nucl.Phys. A764,246(2006)]

OMPs from (,0) @ 13<E<40 MeV: DO NOT DESCRIBE (x) reactions @ E<12 MeV [Avrigeanu+, Nucl.Phys. A723,104(2003)]

[Avrigeanu+, Phys.Rev C Phys.Rev C 7373,038801(2006)],038801(2006)]


Nuclear Model Calculations OPTICAL MODEL : prime tool for all cross section calculations

Phenomenological OMP - still extensively used - while its uncertainties critically depend on: - particular alpha-nucleus system

- incident energy - precision of analyzed data

Microscopic OPs: reduced uncertainties (e.g., OM ambiguities)

Pure elastic scattering OP analysis SCAT2 [O. Bersillon] - phenomenological OP + semi-microscopic (DF) OP (local version)

Coupled Reaction Channel (CRC) FRESCO-2003 [I.J. Thompson] - elastic transfer among weakly bound systems

Composite system equilibration - Geometry Dependent Hybrid (GDH) preequilibrium-emission model

- Hauser-Feshbach (HF) statistical model

STAPRE-H95 [V. Avrigeanu, M. Avrigeanu]

(updated)


U(E,R)= dr1 dr2 1(r1) 2(r2) veff(ρ,E,s=R+r1-r2)

1,2 - density distributions of projectile (1) and target (2) nuclear structure models experimental charge density distribution

veff(,E,r) = F()g(E)v(r)

F() = C[1+e-] (DDM3Y) C[1-] (BDM3Y)

g(E) = 1-0.002E/A (Reid NN interaction)

1-0.003E/A (Paris NN interaction)

v(r) - effective NN-interaction: isoscalar and isovector components of direct and exchange parts of M3Y interaction

( g-matrix using Reid/Paris NN potential )

Microscopic Real Optical Potential [ M.A. et al. : Nucl. Phys. A 723 (2003)104 ]


At. Data Nucl. Data Tables 95 (2009) 50150<A<124

α-particle elastic-scattering analysis to 50<A<124 @ E<50 MeV

Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009 7

0 30 60 90 120 150 180

c.m. [deg]

18.13 MeV

16.34 MeV DF DF + DR Local OMP

14.56 MeV

10-6

10-5

10-4

10-3

10-2

10-1

100

Bredbacka+ (1994)

/

Rut

herf

ord

12.8 MeV

50Cr(,)

Bredbacka+ (1994)

DF DF + DR Local OMP

16.34 MeV

14.56 MeV

10-5

10-4

10-3

10-2

10-1

100

12.8 MeV

62Ni(,0)

0 30 60 90 120 150 180

c.m. [deg]

18.13 MeV0 30 60 90 120 150 180

0.4

0.6

0.8

1.0

DF DF + DR Local OMP

c.m.

[deg]

9.6 MeV

0.6

0.8

1.0

9.1 MeV

0.9

1.0

Gasques+ (2003)

/

Rut

herf

ord

8.1 MeV

58Ni(,0)

DF-real & phenomenological imaginary potential for A~60 @ E<50 MeV

UDF

WV,WD


100

10-1

100

0 30 60 90 120 150 180

10-1

100

101

103

105

102

104

106

101

103

105

0 30 60 90 120 150 18010-1

101

103

105

102

104

106

10-1

101

103

105

10-2

10-1

100

14.56 MeV

10-1

100

Bredbacka+ (1994)

50

24Cr(,)

d/

d R

uth

erfo

rd

12.8 MeV

0.6

0.8

1.0

Gasques+ (2003)

9.6 MeV

0.7

0.8

0.9

1.0

Gasques+ (2003)

9.1 MeV

0.9

1

Gasques+ (2003)

8.1 MeV

58Ni(,0)

10-1

100

14.56 MeV Bredbacka+ (1994)

10-1

100

Bredbacka+ (1994)

12.8 MeV

62

28Ni(,

0)

10-2

10-1

100

Kiss+ (2007)

19.44 MeV

10-1

100

Kiss+ (2007)

89Y(,0)

16.2 MeV

10-2

10-1

100

Fulop+ (2001)

19.50 MeV

1

Fulop+ (2001)

16.42 MeV

100

Fulop+ (2001)

92

42Mo(,

0)

13.83 MeV

0.6

0.8

1.0

Galaviz+ (2005)

112Sn(,0)

14.4 MeV

10-1

100

Galaviz+ (2005)

19.5 MeV

10-1

100

Galaviz+ (2005)

124

50Sn(,

0)

19.5 MeV

0.5

1.0

Watson+ (1971)

15 MeV

107

47Ag(,

0)

Cr_Bi_LOW_g79

0 30 60 90 120 150 180

0.5

1.0

c.m.

[deg]

Watson+ (1971)

15 MeV

90

40Zr(,

0)

Kiss+ (2006)

106

48Cd(,

0)

16.09 MeV

Kiss+ (2006)

17.64 MeV

c.m.

[deg]

Kiss+ (2006)

19.72 MeV

102

104

106

209

83Bi(,

0)

23.65 MeV

Karcz+ (1972)

1

208

82Pb(,

0)

23.5 MeV

Lilley+ (1980)

102

184

74W(,

0)

24 MeV

Baker+ (1981)

0 30 60 90 120 150 180

10-1

100

c.m.

[deg]

138

56Ba(,

0)

20 MeV

Burnett+ (1985)

100

102

Baker+ (1981)

182

74W(,

0)

24 MeV

10-1

100

136

56Ba(,

0)

20 MeV

Burnett+ (1985)

100

Mohr+ (1997)

144

62Sm(,

0)

20 MeV

10-1

100

134

56Ba(,

0)

20 MeV

Burnett+ (1985)

10-1

100

132

56Ba(,

0)

20 MeV

Burnett+ (1985)

102

186

74W(,

0)

24 MeV

Baker+ (1981)

0 30 60 90 120 150 180

101

103

c.m.

[deg]

192

76Os(,

0)

24 MeV

Baker+ (1976)

0.8

0.9

1.0

Watson+ (1971)

140Ce(,0)

15 MeV

100

197

79Au(,

0)

22 MeV

Reed-Sampson+ (1957)

102

104

106

23.65 MeV

Karcz+ (1972)

27.95 MeV

Karcz+ (1972)

23.6 MeV

Karcz+ (1972)

27.6 MeV

Karcz+ (1972)

c.m.

[deg]

27.5 MeV

Karcz+ (1972)

Karcz+ (1972)

181

73Ta(,

0)

23.5 MeV

27.2 MeV

Karcz+ (1972)

Phenomenological optical potential for E<30 MeV


Real Potential Volume Integral

5 10 15 20 25 30 35 40 45 50

300

350

400

450

500

550

600

present work McFadden-Satchler (1966) Kailas+ (2006)

E [MeV]

JV [

MeV

fm3]

Marilena Avrigeanu RIPL-3, IAEA-Vienna, 10-14 December 2007 9

Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009Marilena Avrigeanu RIPL-3, IAEA-Vienna, 10-14 December 2007 10

Local OMP parameter sets


Local OMP parameter sets


ROP: (I) Settling OM-parametrization: ROP: (I) Settling OM-parametrization: αα-particle elastic scattering -particle elastic scattering @ E<20 MeV

0.850.9

0.951

0.60.70.80.9

1

0.4

0.60.8

1

0 30 60 90 120 15010-13

10-11

10-9

10-7

10-5

10-3

10-1

c.m.

[deg]

90Zr(,)

Watson+ (1971)

15

x108

x1010

x1010

92Mo(,)

Fulop+ (2001)

13.8

16.4

19.4

x106

89Y(,)16.2

19.4x102

local present work regional present work Kumar+ (2006)

Kiss+ (2007)

0 30 60 90 120 15010-9

10-7

10-5

10-3

10-1

/

Ru

ther

ford

c.m.

[deg]

50Cr(,)

12.8

12.8

14.6

Bredbacka+ (1994)

14.6

x102

x105

x107

62Ni(,)

0 30 60 90 120 15010-13

10-11

10-9

10-7

10-5

10-3

10-1

Kiss+ (2006)

c.m.

[deg]

124Sn(,)

112Sn(,)14.4

19.5

19.5

Galaviz+ (2005)

106Cd(,)16.1

17.6

19.7

x101

x102

x107

x108

x1010

107Ag(,)

Watson+ (1971)

x10515

58Ni(,)9.1

8.1

Gasques+ (2003)

9.6


αα-particle elastic scattering & induced reactions @ E<50 MeV-particle elastic scattering & induced reactions @ E<50 MeV

OMPs from (α,α0) @ Eα>BC

(elastic scattering)

DO NOT DESCRIBE (α,x) reactions @ Eα<BC

ROP: A<124

E2=0.9 BC

E2=0.9 BC

0 10 20 300

10

20

30

40

50

+ 63Cu

WD (

Me

V)

E (MeV)

E2=0.9 BCE2=0.9 BC

5 10 15 20 25 300.5

0.6

0.7

aR

(fm

)

E (MeV)

E<E2

E>E2

+ 63

29Cu


10-2

10-1

100

Vonach+ (1983): R

+ 48Ti

ROP (E>BC)

ROP

0.5 1.0

10-3

10-2

10-1

Vonach+ (1983): R

+ 51V

ROP (E>BC)

ROP

Vonach+ (1983)Morton+ (1992)Baglin+ (2004)

48Ti(,n)51Cr

0.5 1.0

Vlieks+ (1974)Vonach+ (1983)Hansper+ (1993)Xiufeng+(1999)

51V(,n)54Mn

Vlieks+ (1974)Hansper+ (1989) #1Hansper+ (1989) #2

45Sc(,n)48V

(b

)

10-4

10-3

10-2

10-1

Vlieks+ (1974)Morton+ #1 (1994)Morton+ #2 (1994)

50Cr(,n)53Fe

10-5

10-4

10-3

10-2

10-1

Howard+ (1974) Vlieks+ (1974)

46Ti(,n)49Cr

0.5 1.0

1E-4

1E-3

0.01

0.1

Vlieks+ (1974)Tims+ #1 (1991)Tims+ #2 (1991)

54Fe(,n)57Ni

Ec.m.

/BC

10-2

10-1

Sonzongni+(2000)

44Ti(,p)47V

R - ROP (E>B

C)

ROP (E>BC)

ROP

0.4 0.6

10-6

10-5

56Fe(,)60Ni

Anderson+ (1979)

0.4 0.5 0.6 0.7

10-6

10-5

10-4

10-3

Fulop+ (1996)

70Ge(,)74Se

0.5 1.0 1.5

10-5

10-4

10-3

10-2

10-1

100

Ec.m.

/BC

Stelson+ (1964)D'Auria+ (1968)Zhukova+ (1973)Mann+ (1975)Tims+ (1988) #1Tims+ (1988) #2

59Co(,n)62Cu

0.6 0.9 1.2

10-2

10-1

Porile+ (1959)Stelson+ (1964)Mann+ (1975)Zweit+ (1987)

63Cu(,n)66Ga

0.5 1.0 1.510-4

10-3

10-2

10-1

100

Porile+ (1959)Stelson+ (1964)Mann+ (1975)Singh+ (1994)

65Cu(,n)68Ga

0.6 0.9 1.210-5

10-4

10-3

(

b)

63Cu()67Ga

Basunia+ (2005)

(b)

R - ROP (E>B

C)

ROP (E>BC)

aR=ct., E<E2

ROP

ROP: (II) Settling OM-parametrization: ROP: (II) Settling OM-parametrization: αα-particle induced reactions at E<Bc-particle induced reactions at E<Bc


ROP: (II) Settling OM-parametrization: ROP: (II) Settling OM-parametrization: αα-particle induced reactions at E<B-particle induced reactions at E<Bcc

1E-6

1E-5

1E-4

1E-396Ru()100Pd

(

b)

7

R - ROP(E>B

C)

(,) - ROP (E>BC)

(,) - ROP

0.5 0.6 0.71E-5

1E-4

1E-3

0.01

Rapp+ (2002)

96Ru(,n)99PdRapp+ (2002)

Rapp+ (2002)

96Ru(,p)99Rhm

0.6 0.7

98Ru(,n)101Pd

Ec.m.

/BC

Rapp+ (2002)

0.58 0.65 0.73 0.80

10-1

100

101Rapp+ (2008)

92Mo(,n)95Ru

(m

b)

R- ROP(E>B

C)

(,n) - ROP(E>BC)

(,n) - ROP

8 9 10 1110-2

10-1

100

101

Rapp+ (2008)

94Mo(,n)97Ru

R - ROP(E>B

C)

(,n) - ROP(E>BC)

(,n) - ROP

0.65 0.73 0.80Ec.m.

/BC

Rapp+ (2008)

92Mo(x)

R - ROP

() (,n) (,p) (')

9 10 11 Ec.m.

(MeV)

94Mo(x) () (,n) (,p) (')

Rapp+ (2008)

8 9 10 11

0.51 0.58 0.64 0.70

10-1

100

101

102

103

(b

)

Ec.m.

(MeV)

R - ROP (E>B

C)

(,) - ROP (E>BC)

(,) - ROP

112Sn()116TeOzkan+ (2007)Rapp+ (2008)

8 9 10 11

0.51 0.58 0.64 0.70

(,p) (,')

112Sn(x)

R

(,)

Ozkan+(2007): (,)Ozkan+(2007): (,p)Rapp+ (2008)

0.5 0.6 0.7

1E-7

1E-6

1E-5

1E-4

1E-3

0.01

Ec.m.

/BC

(b)

Gyurky+/ATOMKI (2006)Gyurky+/ND (2006)

106Cd()110Sn

R - ROP (E>B

C)

(,) - ROP (E>BC)

(,) - ROP

0.6 0.7 0.8

Ec.m.

/BC

Gyurky+ (2006)Gyurky+ (2006)

106Cd(,p)

109In

106Cd(,n)109Sn

0.5 0.6 0.7

1E-6

1E-5

1E-4

1E-3

(b)

118Sn()122TeHarissopulos+ (2005)

0.6 0.7

118Sn(,n)121Te

118Sn()122Te Harissopulos+ (2005): (,)

118Sn(,p)121Sb

118Sn(')118Sn


ROP: (II) Latest check for ROP: (II) Latest check for αα-particle induced reactions at E<B-particle induced reactions at E<Bc c (12 June 2009) (12 June 2009)[ ADNDT 95 (2009) 501; Phys.Rev. C 79 (2009) 027601 ][ ADNDT 95 (2009) 501; Phys.Rev. C 79 (2009) 027601 ]

8 10 12 14

0.51 0.63 0.76 0.88

10-6

10-5

10-4

10-3

10-2

10-1

(

b)

Ec.m.

/ BC

E (MeV)

R Avrigeanu (2003) E>B

C

R as E>B

C (2009)

R (2009)

113In(n)116Sb

Yalcin+, PRC 79, 065801 (June 12, 2009)Yalcin+, PRC 79, 065801 (June 12, 2009)

113In()117Sb


At. Data Nucl. Data Tables 95 (2009) 50150<A<124

Extension up to A=209

α-particle elastic-scattering analysis to 50<A<209 @ E<50 MeV


DF-real & phenomenological imaginary potential for A ≥ 132 @ E<30 MeV

0 30 60 90 120 150 180

10-4

10-3

10-2

10-1

100

0 30 60 90 120 150 180

10-5

10-3

10-1

101

103

c.m.

[deg]

d

/d

[m

b/s

r]

182

74W(,)

24

184W(,)

186W(,)

192

76Os(,)

24

24

24Baker+ (1981)Baker+ (1976)

x102

x104

x106

Ba_Os_micr

c.m.

[deg]

DF DF+DR Kumar+ (2006)

/

Ru

the

rfo

rd

132

56Ba(,)

20

20

134

56Ba(,)

136

56Ba(,)

138

56Ba(,)

20

20

x101

x102

x103

Burnett+ (1985)

0 30 60 90 120 150 180

10-4

10-3

10-2

10-1

/ R

uth

erf

ord

c.m.

[deg]

140

58Ce(,)

15

144

62Sm(,)

20197

79Au(,)

22

208

82Pb(,)

23.5

Mohr+ (1997) Reed+ (1957)Lilley+ (1980)

x102

x103

x101

100

Watson+ (1971)

0 30 60 90 120 150 180

10-10

10-8

10-6

10-4

10-2

100

102

104

106 DF DF+DR Kumar+ (2006)

c.m.

[deg]

d/

d

[mb

/sr]

197

79Au(,)

23.65

27.95

23.6

27.6

208

82Pb(,)

23.65

209

83Bi(,)

27.5

x101

x105

x106

x1010

x1011

Karcz+ (1972)

Ce_Bi_micrUUDFDF WWDD & W & WVV


Local OMP parameter sets: A>124


Phenomenological optical potential for A ≥ 132 @ E<30 MeV

0 30 60 90 120 150 180

10-4

10-3

10-2

10-1

100

c.m.

[deg]

/ R

uthe

rfor

d

132

56Ba(,)

20

20

134

56Ba(,)

136

56Ba(,)

138

56Ba(,)

20

20

x101

x102

x103

Burnett+ (1985)

0 30 60 90 120 150 18010-10

10-8

10-6

10-4

10-2

100

102

104

106 present work Kumar+ (2006)

c.m.

[deg]

d/

d

[mb/

sr]

181

73Ta(,)

23.5

27.2

24

24

182W(,)

24

192Os(,)

x101

x104

x108

x1010

24

x106

184W(,)

186W(,)

Ba_Os_2pot

Karcz+ (1972)

0 30 60 90 120 150 180

10-4

10-3

10-2

10-1

/

Rut

herfo

rd

c.m.

[deg]

140

58Ce(,)

15

144

62Sm(,)

20197

79Au(,)

22

208

82Pb(,)

23.5

x102

x103

x101

Mohr+ (1997) Reed+ (1957) Lilley+ (1980)

100

Warson+ (1971)

0 30 60 90 120 150 180

10-10

10-8

10-6

10-4

10-2

100

102

104

106 present work Kumar+ (2006)

c.m.

[deg]

d/

d

[mb/

sr]

197

79Au(,)

23.65

27.95

23.6

27.6

208

82Pb(,)

23.65

209

83Bi(,)

27.5

x101

x105

x106

x1010

x1011

Karcz+ (1972)

Ce_Bi_2pot



VR=41.75 + 0.7*Z/A1/3 + 321/ E1/2

ROP:

E2=0.9 BC

aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E

aR=0.684 - 0016*Z/A1/3 + (0.00026*Z/A1/3 – 0.0026)E

E2< E<26.5

E>26.5

10 20 30 4080

100

120

140

160

180

ROP

41.75+0.7Z/A1/3+321/E1/2

+ 124

50Sn

E (MeV)

-V

R

(MeV

)

10 20 30 40

0.5

0.6

0.7

aR

(MeV

)

E (MeV)

ROP E<E

2

E2<E<26.5 MeV

E>26.5 MeV

+ 124

50Sn

aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E2

0 30 60 90 120 15010-5

10-3

10-1 ROP extended ROP

/

Ru

the

rfo

rd

c.m.

[deg]

124Sn(,)

112Sn(,)14.4

19.5

19.5

Galaviz+ (2005)

x101

x103

EXTENDEDEXTENDED


0 30 60 90 120 150 180

10-4

10-3

10-2

10-1

/ R

uthe

rfor

d

c.m.

[deg]

140

58Ce(,)

15

144

62Sm(,)

20197

79Au(,)

22

208

82Pb(,)

23.5

x102

x103

x101

Mohr+ (1997) Reed+ (1957) Lilley+ (1980)

100

Warson+ (1971)

0 30 60 90 120 150 180

10-10

10-8

10-6

10-4

10-2

100

102

104

106 extended ROP ROP

c.m.

[deg]

d/

d [

mb/

sr]

197

79Au(,)

23.65

27.95

23.6

27.6

208

82Pb(,)

23.65

209

83Bi(,)

27.5

x101

x105

x106

x1010

x1011

Karcz+ (1972)

Ce_Bi_2pot

0 30 60 90 120 15010-5

10-3

10-1 ROP extended ROP

/

Ru

the

rfo

rd

c.m.

[deg]

124Sn(,)

112Sn(,)14.4

19.5

19.5

Galaviz+ (2005)

x101

x103

ROPROP - Extended ROP - Extended ROP



VR=41.75 + 0.7*Z/A1/3 + 321/ E1/2

ROP:

E2=0.9 BC

aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E

aR=0.684 - 0016*Z/A1/3 + (0.00026*Z/A1/3 – 0.0026)E

E2< E<26.5

E>26.5

10 20 30 4080

100

120

140

160

180

ROP

41.75+0.7Z/A1/3+321/E1/2

+ 124

50Sn

E (MeV)

-V

R

(MeV

)

10 20 30 40

0.5

0.6

0.7

aR

(MeV

)

E (MeV)

ROP E<E

2

E2<E<26.5 MeV

E>26.5 MeV

+ 124

50Sn

aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E2

WD=1.5+0.5

0 10 20 30 400

10

20

30

ROP E<E

2

E1<E<E

2

+ 124

50Sn

E (MeV)

-W

D

(MeV

)

E2

EXTENDEDEXTENDED

10 12 14 16

0.53 0.64 0.75 0.85

10-7

10-6

10-5

10-4

10-3

(

b)

E (MeV)

R as E>B

C

R E<B

C W

D=4

R W

D=1.5

()

Somorjai+ (1998)Denzler+ (1995): (,n)

(,n)

144Sm()148Gd

Ec.m.

/ BC


8 12 16 20 24

0.49 0.74 0.99 1.24 1.48

10-3

10-2

10-1

100

(

b)

Ec.m.

/ BC

E (MeV)

R as E>B

C

R E<B

C W

D=4 MeV

R W

D=1.5 MeV

(,n)

121Sb(n)124I

Calboreanu+(1984)Ismail (1990)Singh+(1997)Hassan+(2006)

(,n)

12 16 20 24

0.74 0.99 1.24 1.48

10-4

10-3

10-2

10-1

100

(

b)

Ec.m.

/ BC

E (MeV)

R as E>B

C

R E<B

C W

D=4 MeV

R W

D=1.5 MeV

(,2n)

121Sb(2n)123I

Calboreanu+(1984)Ismail (1990)Singh+(1997)Hassan+(2006)

(,2n)

10 15 20

0.60 0.90 1.21

10-8

10-6

10-4

10-2

100

(

b)

Ec.m.

/ BC

E (MeV)

R as E>B

C

R E<B

C W

D=4 MeV

R W

D=1.5

()

127I()131Cs

Carlson+ (1967)

10 12 14 16

0.53 0.64 0.75 0.85

10-7

10-6

10-5

10-4

10-3

(

b)

E (MeV)

R as E>B

C

R E<B

C W

D=4

R W

D=1.5

()

Somorjai+ (1998)Denzler+ (1995): (,n)

(,n)

144Sm()148Gd

Ec.m.

/ BC

EXTENDED ROP: (II) Settling OM-parametrization: EXTENDED ROP: (II) Settling OM-parametrization: σσ((αα,X) at E<B,X) at E<Bcc


16 20 24

0.77 0.96 1.16

10-4

10-3

10-2

10-1

(

b)

E (MeV)

R as E>B

C

R E<B

C W

D=4 MeV

R W

D=1.5 MeV

(,n)

181Ta(n)184Re

Scott+ (1968)Singh+ (1994)

Ec.m.

/ BC

15 20 25

0.70 0.93 1.16

10-5

10-4

10-3

10-2

10-1

(

b)

E (MeV)

R as E>B

C

R E<B

C W

D=4 MeV

R W

D=1.5 MeV

(,n)

191Ir(n)194Au

Bhardwaj+ (1992)Ismail (1998)

Ec.m.

/ BC

15 20 25

0.68 0.91 1.14

10-7

10-5

10-3

10-1

(

b)

E (MeV)

R as E>B

C

R E<B

C W

D=4 MeV

R W

D=1.5 MeV

197Au(n)200Tl

Ec.m.

/ BC

197Au()201Tl

Nagame+ (1979)Calboreanu+(1982)Capurro+ (1985)Bhardwaj+ (1986)Singh+ (1988)Shah+ (1995)Necheva+ (1997)

Ismail (1998)Kulko+ (2007)Basunia+ (2007)

EXTENDED ROP: (II) Settling OM-parametrization: EXTENDED ROP: (II) Settling OM-parametrization: σσ((αα,X) at E<B,X) at E<Bcc


ConclusionsConclusions

Extension ofExtension of -nucleus-nucleus OMP analysisOMP analysis belowbelow B BCC

((αα,,αα) data basis) data basis ((αα,x) data basis,x) data basis

A=50-209, EA=50-209, E~~8-50 MeV8-50 MeV - comparison with BARC (2006)- comparison with BARC (2006)

Description ofDescription of αα elastic elastic scatteringscattering a. d.a. d. @ energies >B@ energies >BCC

Description of Description of ((αα,,xx)) reaction cross sectionsreaction cross sections

@ energies @ energies ~~ 8 MeV 8 MeV

αα-nucleus OMP in the-nucleus OMP in the incident channel incident channel @ energies@ energies < B< BCC

- - constant constant aaRR (E (Ecmcm/B/BCC ~0.9) ~0.9) ← ← ((αα,,αα) analysis) analysis

- - increasing increasing WWDD from 0-4 MeV from 0-4 MeV to Wto WDD(E(Ecmcm/B/BCC ~0.9) ~0.9) ←← ((αα,,αα) analysis) analysis

Thank you !Thank you !


10 15 20

0.60 0.90 1.21

10-8

10-6

10-4

10-2

100

(

b)

Ec.m.

/ BC

E (MeV)

R as E>B

C

R E<B

C W

D=4 MeV

R W

D=1.5

(), =200 meV

(), =200+60 meV

127I()131Cs

Carlson+ (1967)

Sensitivity to other model parameters: gamma parameterizationSensitivity to other model parameters: gamma parameterization


Thank you !Thank you !

Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009Marilena Avrigeanu RIPL-3, IAEA-Vienna, 10-14 December 2007 33

OMPs describing -emission: not suitable for induced reactions

! ?

α - particle Optical Potential for astrophysical studies M. Avrigeanu and V. Avrigeanu

Documents

Transcript of α - particle Optical Potential for astrophysical studies M. Avrigeanu and V. Avrigeanu