Capture of a neutron to excited states of a 9 Be nucleus taking into account resonance at 622 keV
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, PARTICLES, FIELDS, GRAVITATION, AND ASTROPHYSICS
Capture of a Neutron to Excited States of a 9Be Nucleus Taking into Account Resonance at 622 keV S. B. Dubovichenko Fessenkov Astrophysical Institute, National Space Research and Technologies Center, National Space Agency of the Republic of Kazakhstan, Almaty, 050020 Kazakhstan email: [email protected]; www.dubovichenko.ru Received April 9, 2013
Abstract—Radiative capture of a neutron to the ground and excited states of the 9Be nucleus is considered using the potential cluster model with forbidden states and with classification of cluster states by the Young schemes taking into account resonance at 622 keV for thermal and astrophysical energies. DOI: 10.1134/S1063776113120029
1. INTRODUCTION In our earlier publications [1, 2], we demonstrated the possibility of describing astrophysical S factors [3, 4] of the radiative capture of charged particles at some light and lightest atomic nuclei based on the potential cluster model with forbidden states (FSs) [5, 6]. This model takes into account the supermultiplet symme try of the wavefunction for a system of clusters with separation of orbital states in accordance with the Young schemes [1, 2, 7]. The classification of orbital states used in this case makes it possible to analyze the structure of the intercluster interactions and to deter mine the presence and number of allowed states (ASs) and FSs in the intercluster potentials and, hence, makes it possible to determine the number of nodes of the radial wavefunction of the relative motion of clus ters [8, 9]. In this approach, the intercluster interac tion potentials for scattering processes are constructed based on the description of elastic scattering phases, which are obtained from the experimental differential cross sections in the course of phase analysis [1, 2, 6]. In the case of bound states (BSs) of light nuclei in clus ter channels, some additional criteria are used in addi tion to scattering phases for constructing potentials. For example, one of such requirements is the repro duction of the binding energy and some other charac teristics of the ground states (GSs) of the nuclei; in some cases, this requirement is fundamental [1, 2, 5]. It is assumed that the BS in this case is associated with the cluster channel consisting of the initial particles participating in the reaction [10, 11]. The choice of the potential cluster model for ana lyzing such cluster systems in nuclei as well as in nuclear and fusion processes at astrophysical energies [3, 12] is dictated by the fact that the probability of for mation of nucleonic associations (i.e., clusters) in many light atomic nuclei and the extent of their sepa ration from one another are quite high; this has been
confirmed by numerous experiments and various the oretical calculations performed in many studies over the last 50–60 years [10, 13, 14]. Naturally, this assumption is a certain idealization of the situation in an actual nucleus because it presumes that 100% clus terization of the nucle
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