Cluster Structure of 10 B Nucleus Levels
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ter Structure of 10B Nucleus Levels M. A. Zhusupova, K. A. Zhaksybekovaa, and R. S. Kabatayevaa, b, * a
Institute of Experimental and Theoretical Physics, al-Farabi National University, Almaty, 050040 Kazakhstan b International Information Technology University, Almaty, 050000 Kazakhstan *e-mail: [email protected] Received May 11, 2020; revised June 2, 2020; accepted June 26, 2020
Abstract—The excitation spectra of the 10В nucleus in the lithium reactions of triton and α-particle cluster transfer were calculated via summation of the corresponding spectroscopic S-factors within the multiparticle shell model. It is shown that the difference between the excitation spectra of the 10В nucleus in the lithium reactions of α-cluster transfer on 6Li nucleus and in the reaction of 6Li(α, γ)10B radiative capture is due to structural features of the states of the 10В nucleus in the near-threshold region. DOI: 10.3103/S1062873820100317
INTRODUCTION In the multiparticle shell model, the wave functions of the 10В nucleus in the middle of the 1р-shell are multicomponent [1]. The wave function of the ground state with total spin, parity, and isospin (Jπ, T) = (3+, 0) thus contains 10 components. They differ by the values of total orbital momentum L and spin momentum S, and by the Young schemes that characterize the spatial symmetry of the orbital wave function. Symmetry [442], which allows virtual cluster division {ααd}, predominates for the ground state of the10В nucleus. This Young scheme corresponds to 91% of the weight of the total wave function. The weight of component [433], which allows division {αtτ} (τ = 3He), is 3.2% of the weight of the total wave function, and the maximum contribution from states with Yоung scheme [433] comes from energies of excitation around 25 MeV [1]. In this work, we used nuclear reactions with 6,7Li ions to investigate the cluster structure of the ground and excited states of the 10В nucleus. Due to the anomalously low bonding energies of the 6Li nucleus in the α + d channel and the 7Li nucleus in the α + t channel, the main mechanisms in nuclear reactions of the 6Li(6Li, d)10B and 7Be(7Li, α)10 types are the transfer of α-particles and triton virtual clusters, respectively [2]. As in [3], the excitation spectra of residual nuclei correspond to the energy distributions of the spectroscopic S-factors, calculated in the multiparticle shell model (i.e., using the expression σ ∼ (2J + 1) Σ SL). Of special interest is a comparison of the calculated cross sections in lithium reactions of virtual α-particle transfer and calculated radiative capture (α, γ) on the 6Li nucleus, especially in the narrow near-threshold region where the latter reactions are of a pronounced resonance character [4–6]. The difference between the behavior of the cross sections is due to structural
features of the levels of the 10В nucleus in this region of energies. EXCITATION SPECTRA OF THE 10В NUCLEUS IN LITHIUM REACTIONS Table 1 gives the calculated values of the total spectroscopic factors, normalized to the groun
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