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Analysis and extended study of α-particle interactions in various reactions and energies for astrophysical and applied research. Includes insights on OMPs, nuclear model calculations, and microscopic real optical potential. Presented at the 28th International Workshop on Nuclear Theory.
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α - particle Optical Potential for astrophysical studies • M. Avrigeanu and V. Avrigeanu • "Horia Hulubei" National Institute for Physics & Nuclear Engineering, Bucharest, Romania • α- OMP extended analysis: 50<A<209, E~8-50 MeV • Analysis of α elastic scattering angular distributions @ energies >BC • Analysis of (α,γ), (α,n), and (α,p) reaction data @ energies <BC 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
a-nucleus OMP: OPEN QUESTIONS • OMPs from (a,a0)@Ea>80 MeV: DO NOT DESCRIBE (a,a0) @Ea<40 MeV • [Nolte+, Phys. Rev. C 36, 1312 (1987)] • OMPs from (x,a) @Ea<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 2009 2
a-nucleus OMP: OPEN QUESTIONS • OMPs from (a,a0)@Ea>80 MeV: DO NOT DESCRIBE (a,a0) @Ea<40 MeV • [Nolte+, Phys. Rev. C 36, 1312 (1987)] • OMPs from (x,a) @Ea<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 (a,a0) @13<Ea<40 MeV:DO NOT DESCRIBE (a,x) reactions@Ea<12 MeV • [Avrigeanu+, Nucl.Phys. A723,104(2003)] • [Avrigeanu+, Phys.Rev C 73,038801(2006)] Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009 3
Nuclear Model Calculations • OPTICAL MODEL: prime tool for all cross section calculations • Phenomenological OMP - still extensively used - while itsuncertaintiescritically 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) 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
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 5
α-particle elastic-scattering analysis to 50<A<124 @ E<50 MeV At. Data Nucl. Data Tables 95 (2009) 501 50<A<124 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
DF-real & phenomenological imaginary potential for A~60 @ E<50 MeV UDF WV,WD 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009 7
Phenomenological optical potential for E<30 MeV 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Real Potential Volume Integral Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009 RIPL-3, IAEA-Vienna, 10-14 December 2007 9
Local OMP parameter sets Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009 RIPL-3, IAEA-Vienna, 10-14 December 2007 10
Local OMP parameter sets Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009 11
ROP: (I) Settling OM-parametrization: α-particle elastic scattering @ E<20 MeV 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
α-particle elastic scattering & induced reactions @ E<50 MeV ROP: A<124 E2=0.9 BC OMPs from (α,α0) @ Eα>BC (elastic scattering) DO NOT DESCRIBE (α,x) reactions@ Eα<BC E2=0.9 BC E2=0.9 BC E2=0.9 BC 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
ROP: (II) Settling OM-parametrization: α-particle induced reactions at E<Bc 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
ROP: (II) Settling OM-parametrization: α-particle induced reactions at E<Bc 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
ROP: (II) Latest check for α-particle induced reactions at E<Bc (12 June 2009) [ ADNDT 95 (2009) 501; Phys.Rev. C 79 (2009) 027601 ] 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
α-particle elastic-scattering analysis to 50<A<209 @ E<50 MeV At. Data Nucl. Data Tables 95 (2009) 501 50<A<124 Extension up to A=209 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
DF-real & phenomenological imaginary potential for A ≥ 132 @ E<30 MeV UDF WD & WV 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Local OMP parameter sets: A>124 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Phenomenological optical potential for A ≥ 132 @ E<30 MeV 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
α-particle elastic scattering & induced reactions @ E<50 MeV ROP: EXTENDED VR=41.75 + 0.7*Z/A1/3 + 321/ E1/2 aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E2 E2< E<26.5 aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E E>26.5 aR=0.684 - 0016*Z/A1/3 + (0.00026*Z/A1/3 – 0.0026)E E2=0.9 BC 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
ROP - Extended ROP 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
α-particle elastic scattering & induced reactions @ E<50 MeV ROP: EXTENDED VR=41.75 + 0.7*Z/A1/3 + 321/ E1/2 aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E2 E2< E<26.5 aR=0.631 + 0016*Z/A1/3 – 0.001*Z/A1/3 E E>26.5 aR=0.684 - 0016*Z/A1/3 + (0.00026*Z/A1/3 – 0.0026)E WD=1.5+0.5 E2=0.9 BC 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
EXTENDED ROP: (II) Settling OM-parametrization: σ(α,X) at E<Bc 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
EXTENDED ROP: (II) Settling OM-parametrization: σ(α,X) at E<Bc 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Conclusions • Extension ofa-nucleusOMP analysisbelow BC • (α,α) data basis(α,x) data basis • A=50-209, E~8-50 MeV • - comparison with BARC (2006) • Description ofα elasticscatteringa. d.@ energies >BC • Description of (α,x)reaction cross sections @ energies ~ 8 MeV • α-nucleus OMP in theincident channel @ energies< BC • - constant aR (Ecm/BC ~0.9)← (α,α) analysis • - increasing WD from 0-4 MeVto WD(Ecm/BC ~0.9)←(α,α) analysis Thank you ! 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Sensitivity to other model parameters: gamma parameterization 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
Thank you ! 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009
OMPs describinga-emission: not suitable for a induced reactions ? ! Marilena Avrigeanu 28th Int. Workshop. on Nuclear Theory Rila Mountains 2009 RIPL-3, IAEA-Vienna, 10-14 December 2007 33