Abstract. Theoretical description of dipole resonances in 46 Ti, 48 Ti, 50 Ti, 48 Ca, 40 Ca was performed. The distribution of the "hole" among the states of final nuclei was taken into account using information on pick-up reactions. The obtained results are in reasonable agreement with experimental data.
Description of multipole resonancesThe giant multipole resonances (MR) represent the most striking feature of the reactions cross sections up to energy excitation E<40 MeV and transferred momentum q< 3 fm -1 . The interpretation of MR complicated structure and its dependence on the individual properties of nuclei is one of the aims of nuclear theory. The giant dipole resonance E1 is up to now the best explored among the multipole resonances [1]. The efforts to explain the origin of its position on energy axis promote the creation of multiparticle shell model (MSM). The success of MSM in interpretation of dipole resonance as a result of collectivization of so-called "doorway states" could not eliminate all problems in its theoretical description. One of them is the need to explain the great differences in widths and structures of the distributions of E1 strength in various nuclei. The growth of information on structure of giant resonances has shown that the MSM calculations based on particle-hole configurations are unable to reproduce complicated structure of MR. The usual way to overcome this problem is to expand the basic space and to take into account the interaction of "doorway" states with more complicated configurations, first of all with collective phonons. Applications of this method to the resonances in the middle and heavy closed-shell nuclei were rather successful, but the interpretation of structure and decay properties of MR in open shell nuclei represents a challenge to the theory. Moreover, due to pairing forces the "magic" nuclei are not bona fide completely closed-shell systems.
Particle-core coupling version of Shell ModelOne of the possible ways to build a set of basic configurations which could be used as doorway states in the microscopic description of multipole resonances in open shell nuclei is to take into account the distribution of the "hole" configurations among the states of residual (A-1) nuclei.In the "Particle Core Coupling version of Shell Model" (PCC SM) these distributions are taken into account in microscopic description of multipole resonances [2,3]. Theoretical description of MR in 1p-shell nuclei in the PCC SM has shown good agreement with experimental data for nuclei with A from 7 up to 15 [3]. The same approach to sd-shell nuclei strikes against the lack of reliable wave functions for the nuclear ground states. The alternative way to estimate the probabilities of the various core states which appears when one of the nucleons would be extracted from nucleus is to use the experimental data on the spectroscopy of direct pick-up reactions .This method was applied to calculations of multipole resonances in sd-shell nuclei [4]. Wave functions of excited nuclear states in th...