非対称ポテンシャルに関する核波動関数の有限個の基本関数展開における誤差 I

概要

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Nuclear large symmetric deformation is well treated by so-called double center shell model. For asymmetric deformation of nuclei, the wave-functions are able to be represented approximately by finite set of the symmetric ones because these wave-functions belong to the Hilbert space which generated from the orthonormal set of all eigen-functions of Hamiltonian operator with Hermitic charactor. In our computational method the error owing to the representation by finite set is inevitably arisen and we have to estimate this error. We will report how many terms are required to approximate sufficiently the exact eigenfunction in practical computation. Where we define, on the measure of the error, as following : [numerical formula] In the second term of the equation, a_<mλ>^<(nλ)> (m_λ=0,1,…, k-1) are k expansion coefficients of the basic functions and n_λ is the number that describes in the order of the quantum number of exact solutions gained as the function of z. When n_λ is smaller than 4,we have Δ^<(nλ)> (10) <10^<-4> for asymmetric potential parameter r_+^2<1.1 in ^<236>U.
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