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Description
Usually the differential cross sections (DCSs) of nucleon transfer reactions (NTR) are analyzed within the conventional DWBA for determination of a nucleonic spectroscopic factor S (SF) by normalization of the calculated DCS to the experimental data ([1] and references therein). The SF have strong dependence on the single-particle potential parameters. In contrast of the SF, the values of the asymptotic normalization coefficients (ANCs) [2] found from the analysis of the peripheral NTR are fairly weakly dependent on the single-particle potential parameters. The dispersion peripheral pole model (DPPM) [3] can be used for determination of the ANCs from the analysis of the DCSs of the peripheral NTR. This is method, the DCS is expressed in terms of the ANC for the removed nucleon from the residual nuclei. Whereas the DPPM allows analyzing the DCS of the peripheral NTR populating to both bound and unbound states of the residual nucleus.
In the present work, the results of the analysis of the experimental DCSs for the $^{10}$Be(d,p)$^{11}$Be reaction populating to the bound and unbound states of the residual nuclei measured at the projectile deuteron energy 15, 21.4 and 25 MeV [4-5] are presented. The analysis of the experimental DCs of the $^{10}$Be(d,p)$^{11}$Be reaction has been performed within the dispersion peripheral pole model (DPPM) [3] to obtain the values of the asymptotic normalization coefficients (ANC) for the ground and first excited states of the $^{11}$Be nucleus. To determine the values of the ANCs in 11Be nucleus, the ANC for the d→p+n vertex was taken from the value of the nuclear vertex constant, G$^{2}$=0.43±0.01 fm, which extracted in Ref. [2].
The weighted mean value of the extracted ANCs were found to be $C_{0; 1/2}^{2}=0.601\pm0.055$ fm$^{-1}$ for the ground state and $C_{0; 1/2}^{2}=(16.32±0.70)∙10^{-3}$ fm$^{-1}$ for the first excited state of the 11Be nucleus. The different parameters of the optical potentials also were used in the calculation for estimation of the sensitivity of the values of ANCs for the ground and for the first excited states of the 11Be nucleus.
References
1. S. A. Goncharov, et al., Yad.Fiz. 35, 662 (1982).
2. L. D. Blokhintsev, et al., Sov. J. Part. Nucl. 8, 485 (1977).
3. E. I. Dolinskii, P. O. Dzahamalov, A. M. Mukhamedzhanov, Nucl. Phys. A 202, 97 (1973).
4. K.T.Schmitt, et al., Physical review C88, 064612 (2013).
5. B. Zwieglinski, et al., Nuclear Physics A315 (1979) 124-132.
6. S.B. Igamov, R. Yarmukhamedov, Nucl. Phys. A 781 (2007) 781.
