Closed expressions for the nuclear moments in semi-leptonic processes

Details Closed expressions for the nuclear moments in semi-leptonic processes Closed expressions for the nuclear moments in semi-leptonic processes

2002-02-20

arxiv.org/abs/nucl-th/0202061v1

Czech.J.Phys. 52 (2002) 467-479

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1023/A:1015349008360

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.

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