Pion-nucleus scattering lengths

Huang, W. T. ; Levinson, C. A. ; Banerjee, M. K. (1972) Pion-nucleus scattering lengths Physical Review C, 5 (3). pp. 651-657. ISSN 0556-2813

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Official URL: http://prc.aps.org/abstract/PRC/v5/i3/p651_1

Related URL: http://dx.doi.org/10.1103/PhysRevC.5.651


The soft-pion theory and the Fubini-Furlan mass dispersion relations have been used to analyze the pion-nucleon scattering lengths and obtain a value for the σ commutator term. With this value and using the same principles, scattering lengths have been predicted for nuclei with mass number ranging from 6 to 23. Agreement with experiment is very good. For those who believe in the Gell-Mann-Levy σ model, the evaluation of the commutator yields the value 0.26(mσ/mπ)2 for the σ-nucleon coupling constant. The large dispersive corrections for the isosymmetric case imply that the basic idea behind many of the soft-pion calculations, namely, slow variation of matrix elements from the soft-pion limit to the physical pion mass, is not correct.

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