Reexamination of the astrophysical S factor for the {alpha}+d{yields}{sup 6}Li+{gamma} reaction

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.055805· OSTI ID:21502519

Mukhamedzhanov, A M ^[1]; Blokhintsev, L D ^[2]; Irgaziev, B F ^[3]

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1. Cyclotron Institute, Texas A and M University, College Station, Texas 77843 (United States)
2. D. V. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow (Russian Federation)
3. GIK Institute of Engineering Sciences and Technology, Topi (Pakistan)

Recently, a new measurement of the {sup 6}Li (150 A MeV)dissociation in the field of {sup 208}Pb has been reported [Hammache et al., Phys. Rev. C 82, 065803 (2010)] to study the radiative capture {alpha}+d{yields}{sup 6}Li+{gamma} process. However, the dominance of the nuclear breakup over the Coulomb one prevented the information about the {alpha}+d{yields}{sup 6}Li+{gamma} process from being obtained from the breakup data. The astrophysical S{sub 24}(E) factor has been calculated within the {alpha}-d two-body potential model with potentials determined from the fits to the {alpha}-d elastic scattering phase shifts. However, the scattering phase shift, according to the theorem of the inverse scattering problem, does not provide a unique {alpha}-d bound-state potential, which is the most crucial input when calculating the S{sub 24}(E) astrophysical factor at astrophysical energies. In this work, we emphasize the important role of the asymptotic normalization coefficient (ANC) for {sup 6}Li{yields}{alpha}+d, which controls the overall normalization of the peripheral {alpha}+d{yields}{sup 6}Li+{gamma} process and is determined by the adopted {alpha}-d bound-state potential. Since the potential determined from the elastic scattering data fit is not unique, the same is true for the ANC generated by the adopted potential. However, a unique ANC can be found directly from the elastic scattering phase shift, without invoking intermediate potential, by extrapolation the scattering phase shift to the bound-state pole [Blokhintsev et al., Phys. Rev. C 48, 2390 (1993)]. We demonstrate that the ANC previously determined from the {alpha}-d elastic scattering s-wave phase shift [Blokhintsev et al., Phys. Rev. C 48, 2390 (1993)], confirmed by ab initio calculations, gives S{sub 24}(E), which at low energies is about 38% less than the other one reported [Hammache et al., Phys. Rev. C 82, 065803 (2010)]. We recalculate also the reaction rates, which are lower than those obtained in that same study [Hammache et al., Phys. Rev. C 82, 065803 (2010)].

• OSTI ID: 21502519
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevC.83.055805; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
ASTROPHYSICS
ASYMPTOTIC SOLUTIONS
BOUND STATE
CAPTURE
DEUTERONS
ELASTIC SCATTERING
EXTRAPOLATION
GAMMA DECAY
INVERSE SCATTERING PROBLEM
LEAD 208
LITHIUM 6
MEV RANGE 100-1000
PHASE SHIFT
REACTION KINETICS
S WAVES
TWO-BODY PROBLEM
CHARGED PARTICLES
DECAY
ENERGY RANGE
EVEN-EVEN NUCLEI
HEAVY NUCLEI
IONIZING RADIATIONS
ISOTOPES
KINETICS
LEAD ISOTOPES
LIGHT NUCLEI
LITHIUM ISOTOPES
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS
MEV RANGE
NUCLEAR DECAY
NUCLEI
NUMERICAL SOLUTION
ODD-ODD NUCLEI
PARTIAL WAVES
PHYSICS
RADIATIONS
SCATTERING
STABLE ISOTOPES