Pion nucleus scattering lengths
Description
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 sigma 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 sigma model, the evaluation of the commutator yields the value 0.26(m/sub σ//m/sub π/)2 for the sigma nucleon coupling constant. The large dispersive corrections for the isosymmetric case implies 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. 11 refs., 1 fig., 3 tabs
Availability note (English)
MF available from INIS under the Report Number; Available from NTIS, PC A03/MF A01 as DE87008500.
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Additional details
Publishing Information
- Imprint Pagination
- 26 p.
- Report number
- DOE/NBM--7008500
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 18092906
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Resource subtype / Literary indicator
- Numerical Data
- Descriptors DEI
- DISPERSION RELATIONS; LOW-ENERGY THEOREM; MEV RANGE 10-100; PION REACTIONS; SCATTERING LENGTHS; THEORETICAL DATA
- Descriptors DEC
- DATA; ENERGY RANGE; HADRON REACTIONS; INFORMATION; MESON REACTIONS; MEV RANGE; NUCLEAR REACTIONS; NUMERICAL DATA
Optional Information
- Secondary number(s)
- TR--72-027.