Abstract
The properties of the first excited state of the 8Be* nucleus (2+) are studied. This state corresponds to the resonance in αα scattering at the energy of E α = E 2 ≈ 3 MeV. Use is made of an expansion of the effective-range function K(k 2). The function K(k 2) is sensitive to the value of E 2. A fit to experimental data on the dependence of the Coulomb-nuclear phase shift δ C2 on the energy E α leads to an E 2 value that is smaller than the average value obtained from an analysis of various reactions. The experimental behavior of δ C2 (E α) cannot be described satisfactorily by fixing the average value of E 2. The renormalized nuclear vertex function for the process α + α → 8Be*(2+) and the asymptotic normalization coefficient for the respectiveGamow wave function are calculated by using the set of parameter values found in the present study.
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References
Yu. V. Orlov, B. F. Irgaziev, and L. I. Nikitina, Phys. At. Nucl. 73, 757 (2010); arXiv: 1106.4688v1 [nuclth].
Z. R. Iwinski, L. Rosenberg, and L. Spruch, Phys. Rev. C 29, 349 (1984).
L. D. Blokhintsev, V. I. Kukulin, A. A. Sakharuk, et al., Phys. Rev. C 48, 2390 (1993).
J.-M. Sparenberg, P. Capel, and D. Baye, Phys. Rev. C 81, 011601(R) (2010).
V. O. Eremenko, L. I. Nikitina, and Yu. V. Orlov, Bull. Russ. Akad. Sci.: Phys. 71, 791 (2007).
Yu. V. Orlov, V. O. Eremenko, B. F. Irgaziev, and L. I. Nikitina, Bull. Russ. Acad. Sci.: Phys. 73, 778 (2009).
L. D. Blokhintsev, A. M. Mukhamedzhanov, and A. N. Safronov, Sov. J. Part. Nucl. 15, 580 (1984).
H. van Haeringen, Charged-Particle Interactions (Theory and Formulas) (Coulomb Press Leyden, 1985).
Yu. L. Mentkovskii, Particle in a Nuclear-Coulomb Field (Energoatomizdat, Moscow, 1982) [inRussian].
Yu. V. Orlov and L. I. Nikitina, Bull. Russ.Acad. Sci.: Phys. 76, 446 (2012).
D. R. Tilley, J. H. Kelley, J. L. Godwin, et al., Nucl. Phys. A 745, 155 (2004).
M. Bhattacharya and E. G. Adelberger, Phys. Rev. C 65, 055502 (2002).
F. Ajzenberg-Selove, Nucl. Phys. A 320, 1 (1979).
S. A. Afzal, A. A. Z. Ahmad, and S. Ali, Rev. Mod. Phys. 41, 247 (1969).
E. K. Warburton, Phys. Rev. C 33, 303 (1986).
J. L. Russell, Jr., G. C. Phillips, and C. W. Reich, Phys. Rev. 104, 135 (1956).
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We dedicate this study to Professor V.B. Belyaev on the occasion of the 80th anniversary of his birthday. One of the present authors (Yu.V.O.) cherishes recollections of the time (1974–1976) when he worked jointly with the subject of this anniversary on the problem of calculating nuclear vertex constants with the aid of Faddeev equations with local nuclear potentials. The articles that have been published have contributed to creating one of the new directions in few-body physics. This research remains important, which can be seen from the contemporary literature on the subject, including the present article.
Original Russian Text © Yu.V. Orlov, L.I. Nikitina, 2014, published in Yadernaya Fizika, 2014, Vol. 77, No. 4, pp. 507–513.
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Orlov, Y.V., Nikitina, L.I. Nuclear vertex constants and asymptotic normalization coefficients for 8Be resonance states from effective-range expansions for αα scattering. Phys. Atom. Nuclei 77, 479–485 (2014). https://doi.org/10.1134/S1063778814040073
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DOI: https://doi.org/10.1134/S1063778814040073