Ab Initio Study of Resonant and Weakly Bound States of Light Nuclei with Single-Nucleon Halo Based on First Principles
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ATICAL MODELING IN NUCLEAR TECHNOLOGIES
Ab Initio Study of Resonant and Weakly Bound States of Light Nuclei with Single-Nucleon Halo Based on First Principles D. M. Rodkina,b,c,* and Yu. M. Tchuvil’skya,b,d,** a
Dukhov Research Institute for Automatics, Moscow, 127055 Russia b Pacific National University, Khabarovsk, 680035 Russia c Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow oblast, 141700 Russia d Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119991 Russia *e-mail: [email protected] **e-mail: [email protected] Received November 13, 2017; revised November 13, 2017; accepted November 30, 2017
Abstract—The approach adopted for the microscopic ab initio description of clustered systems is developed. For these purposes, the basis combining ordinary shell-model components and translationally invariant cluster-channel terms is constructed. Transformation of clustered wave functions to the uniform shell-model-like type is performed using the concept of cluster coefficients. The resulting basis of orthonormal wave functions is used to calculate the eigenvalues and eigenvectors of Hamiltonians based on quantum chromodynamics. The calculations of the ground and lowest resonance states of 5He, 9Be, and 9B show the functionality and efficiency of this approach. Keywords: light nuclei, nucleon halo, ab initio description of a nucleus, clustered systems DOI: 10.1134/S1063778818100150
1. INTRODUCTION At the present time, the creation of ab initio approaches is one of the most promising directions of development of nuclear science. Different versions of ab initio No-Core Shell Model (NCSM) using realistic NN and 3N forces [1–5] play an important role in calculations of nuclear structures and evaluation of characteristics of nuclear reactions. The typical basis of this model contains all possible nucleon configurations up to the truncation level. This construction of the basis makes the calculations extremely complicated from the computational point of view for both the nuclei with masses comparable with oxygen and those characterized by greater distances between nucleons. Meanwhile, the well-known nuclear properties show an “inequality” of different nucleon configurations. Therefore, the methods discriminating insignificant components and thus allowing introducing additional important components into the basis are also rather popular (see, for example, [6–8]). One of the main properties of light nuclei is clustering which is manifested in splitting a nucleus into two or a greater number of fragments (core, clusters, and weakly bound nucleons). Moreover, this splitting is considered obligatory in the description of channels of nuclear reactions. Calculations of properties of the systems, which display considerable fragmentation, by ordinary shell methods is rather challenging, since a
huge shell basis is necessary because of great distance between fragments. The construction of a basis suitable for the description of clusterized states can be arrange
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