Structure of the 6He nucleus in the three-particle model

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

“…In view of the charge invariance of nuclear forces, the interaction potential between the protons in 14 O nucleus, U pp (r), is assumed to be the same. This potential was successfully used, while studying 6 He [3], 10 Be, and 10 C [5, 10] nuclei.…”

“…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.…”

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.…”

“…The potentials U nα and U pα , as well as the interaction potential between α-particles U αα , are of a generalized type with local and nonlocal (separable) terms. This type of potentials was first proposed in [13,14] to simulate the exchange effects between particles in interacting clusters and was successfully used, in particular, in calculations [1,3,5,6] of multicluster nuclei. Parameters of the potentialsÛ pα andÛ nα , having local attraction and separable repulsion, are given in [6], where these potentials were used to study the structure of mirror nuclei 14 C and 14 O.…”