$$$ The Sixth International Conference "Modern Problems of Nuclear Physics", September 19-22,2006 MPNP'2006 , DVp.50
NEUTRON AND PROTON ASYMPTOTIC COEFFICIENTS FOR SYMMETRIC AND MIRROR NUCLEI
Nie G.K., Artemov S.V. Institute of Nuclear Physics, Tashkent, Uzbekistan UZ0603023
2 The asymptotic normalization coefficient (ANC) Cn/P of overlap function of nuclei A and B where A—»B+n/p is calculated with using the spectroscopic factor Sn/P as follows [1] Cn/p ~Sn/pbn/p , where bn/p stands for the asymptotic coefficient of the normalized to unit bound state wave function of the nucleon. The spectroscopic factors of the last neutron and proton in the 2 symmetric and mirror nuclei are equal. Therefore C ICp-b^lbp. It was shown in [2] that the requirement of equivalence of the nuclear bound state potentials of the neutron and the proton belonging to one pair for the nuclei with N=Z and the mirror nuclei together with the well-depth procedure for Woods-Saxon potential in numerical calculations of 2 m the Shrodinger equation makes bp and the root mean square radius
That allows one to calculate the theoretical values of C^p for the known values of theoretical 5n/p, as well as to obtain the empirical values of the spectroscopic factors in the framework of the standard DWBA analysis of one nucleon transfer reactions. It is also possible to O O O*7 **}*! *^o calculate the proton ANC Cp , if Cn is known and in reverse, as it was done for AI, Si H Si [5]. The work has been supported by the international grant STCU 3081.
References: 1. L.D. Blokhintsev, I. Borbey, E.I. Dolinsky//EPAN. 1977. v.8. p. 1189 2. G.K. Nie, Proceedings of Russian Academy of Sciences, physics series, T69, 1 (2005) 95 3. G.K.Nie, Radii and binding energies in the alpha-cluster model, arXiv:nucl-th/0603054vl 22Mar2006 4. G.K.Nie, Charge radii for P-stable nuclei, MPLA 2006, to be published. 5. G.K. Nie, S.V.Artemov, E.A.Zaparov, Frontiers in the Physics of Nucleus, LV National Conference on Nuclear Physics, June 28-July 1, 2005, Saint-Petersburg, Russia, Book of Abstracts, P. 269
91 Section I. Physics of Particles and Nuclei