Closed expressions for the nuclear moments in semi-leptonic processes

Abstract

We discuss a general formalism needed for a unified description of the weak and electromagnetic processes in nuclei which is based on the multipole decomposition of the hadronic currents. The use of harmonic oscillator single-particle basis, which is commonly employed in many-body nuclear calculations, simplifies the relevant expressions. We present analytic formulas for the corresponding radial integrals which enter the transition matrix elements of one-body operators in various semi-leptonic nuclear processes. As an example, we apply our formalism in order to simplify previous formalism giving the nuclear moments for the $0\nu \beta \beta$ - decay. Our results for the radial integrals refer to the 1s-0d-1p-0f model space.

12 Latex pages, 3 Tables, 16 Refs. Czech. J. Phys., to appear

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• Cold Dark Matter in SUSY Theories. The Role of Nuclear Form Factors and the Folding with the LSP Velocity
• Nuclear moments for the neutrinoless double beta decay II
• Nuclear moments for the neutrinoless double beta decay