Abstract
In the present work one- and two-channel approaches using the expansion of the effective-range function K(E) in powers of energy E are applied to obtain the asymptotic normalization coefficients (ANCs) and vertex constants (VCs) for the d + α system. The coefficients of the K(E) expansion are found by fitting the d α phase shifts. By analytic continuation of K(E) thus obtained to the corresponding poles the ANCs and VCs for D wave d α resonances with J π = 1+, 2+, 3+ are calculated for the first time. The 1+-resonance and the bound state of 6Li (J π = 1+) are considered jointly in the two-channel (S + D) effective-range approach and the ANCs and VCs for the ground 6Li state are found.
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Blokhintsev L.D., Borbeli I., Dolinskii E.I.: Nuclear vertex constants. Phys. Part. Nucl. 8, 485–541 (1977)
Blokhintsev L.D., Kukulin V.I., Sakharuk A.A., Savin D.A., Kuznetsova E.V.: Determination of the 6Li→ α + d vertex constant (asymptotic coefficient) from the 4He+d phase-shift analysis. Phys. Rev. C 48, 2390–2394 (1993)
Orlov Yu.V., Irgaziev B.F., Nikitina L.I.: The influence of the Coulomb force on the pole positions and on the residues of scattering amplitudes. Phys. At. Nucl. 73, 757–772 (2010)
Sparenberg J.-M., Capel P., Baye D.: Influence of low-energy scattering on loosely bound states. Phys. Rev. C 81, 011601–4 (2010)
Hamilton J., Øverbö I., Tromborg B.: Coulomb corrections in non-relativistic scattering. Nucl. Phys. B 60, 443–477 (1973)
Blokhintsev L.D., Mukhamedzhanov A.M., Safronov A.N.: Coulomb effects in nuclear reactions with charged particles. Phys. Part. Nucl. 15, 580–614 (1984)
Blokhintsev L.D., Savin D.A.: Analytic continuation of scattering function and asymptotic normalization constants for 6Li. Few-Body Syst. 54, 1421–1423 (2013)
Jenny B., Grüebler W., König V., Schmelzbach P.A., Schweizer C.: Phase-shift analysis of d-α elastic scattering between 3 and 43 MeV. Nucl. Phys. A 397, 61–101 (1983)
Krasnopolsky V.M., Kukulin V.I., Kuznetsova E.V., Horáček J., Queen N.M.: Energy-dependent phase-shift analysis of 2H+4He scattering in the energy range 0.87 < E d < 5.24 MeV. Phys. Rev. C 43, 822–834 (1991)
Tilley D.R., Cheves C.M., Godwin J.L., Hale G.M., Hofmann H.M., Kelley J.H., Sheu C.G., Weller H.R.: Energy levels of light nuclei A = 5, 6, 7. Nucl. Phys. A 708, 3–163 (2002)
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The work has been supported by the Russian Foundation for Basic Research under Grant No. 13-02-00399.
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Blokhintsev, L.D., Nikitina, L.I., Orlov, Y.V. et al. Characteristics of d + α Bound and Resonant States from Analytic Continuation of the Effective-Range Expansion. Few-Body Syst 55, 1009–1012 (2014). https://doi.org/10.1007/s00601-013-0755-5
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DOI: https://doi.org/10.1007/s00601-013-0755-5