Structural properties of the 10Be and 10C four-cluster nuclei

Structure of 14C and 14O Nuclei Calculated in the Variational Approach

“…3. Note that the "dip" located at the squared transferred momentum q 2 ≃ 10 fm −2 and originating from the form factor of an α-particle is also observed in the form factors of 6 He [3] and 10 Be [5] nuclei, as well as in all other cases where the charge distribution in cluster nuclei is driven only by the charges of α-particles. Concerning the first dip in the charge form factor of 14 C nucleus in the interval slightly below q 2 ∼ 4 fm −2 , which is connected with the "dip" in the first multiplier in Eq.…”

“…In work [5], in order to study 10 Be nucleus, the parameters of the potential between a neutron and an α-particle that had been used to study 6 He nucleus [3] were slightly changed. In the present work, analogously to this procedure, some parameters of the same potential are changed a little in order to simultaneously describe the energy and charge radius of 14 C with a high accuracy:…”

“…The problem of five particles is solved in the variational approach with the use of the Gaussian basis [7][8][9], which allows the systems of several particles with various kinds of interaction between them to be studied with a rather high accuracy. The applied models of generalized interaction potentials between α-particles, as well as between nucleons and α-particles, are similar to those used by us in the research of lighter nuclei [3,5,10]. However, for the agreement of the energy and charge radius of 14 C nucleus and the energy of 14 O nucleus with experimental values to be exact, the parameters of potentials are slightly modified.…”

“…The experience of the theoretical researches of nuclei with two extra nucleons such as 6 He and 6 Li [1][2][3] or more complicated 10 Be and 10 C ones [4,5] showed that the accuracy of this approximation can compete with that of other approaches, in which all nucleon degrees of freedom are taken into consideration [6]. If the number of nucleons in a nucleus is large, the reduction of the number of variables in the corresponding problem by making allowance for the α-clustering becomes even more justified.…”

Structure of 14N Nucleus within a Five-Cluster Model

“…Our five-particle approach may have a rather good accuracy, as it was shown by calculations of the structure functions of three-and four-cluster nuclei [1][2][3][4][5] consisting of α-particles and two extra nucleons. The similar five-particle model [6] was considered to predict the charge radius of 14 O nucleus using the closeness of the structures of mirror nuclei 14 C and 14 O.…”