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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)]
! ?
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009Marilena Avrigeanu 3
-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)]
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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)
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009Marilena Avrigeanu 5
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 ]
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009Marilena Avrigeanu 11
Local OMP parameter sets
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Local OMP parameter sets: A>124
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
αα-particle elastic scattering & induced reactions @ E<50 MeV-particle elastic scattering & induced reactions @ E<50 MeV
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
αα-particle elastic scattering & induced reactions @ E<50 MeV-particle elastic scattering & induced reactions @ E<50 MeV
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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 !
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Thank you !Thank you !
Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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
! ?