2004/09/17 by T. Nogi, T. Sato, Nogi, T. +3
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0409034
12 pages, 3 figures
arxiv created 2004/09/17 · arxiv updated 2009/12/01
Nuclear PCAC relation is studied in the framework of the effective theory of nuclear interaction, in which the interaction of real pion production-absorption is expressed by many-body operators, and does not include the one-nucleon operator as was assumed in the conventional works, while the effective axial-vector current includes the one-nucleon current in contrast to the former interaction. This problem is investigated under the simple linear σ-model. Results are as folows: 1) The theory describes consistently the PCAC relation and the pion production-absorption process. 2) The conventional interpretation of the effective pion source function as the interaction Hamiltonian of pion production-absorption does not hold. 3) The effective pion source function still includes the one-nucleon operator for the pion production-absorption at threshold effectively, which may justify the conventional theory.