Pion nucleus scattering lengths

Technical Report · Wed Sep 01 00:00:00 EDT 1971

OSTI ID:6646206

Huang, W T; Levinson, C A; Banerjee, M K

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 sigma//m/sub ..pi../)/sup 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.

• Research Organization: Maryland Univ., College Park (USA). Dept. of Physics and Astronomy
• OSTI ID: 6646206
• Report Number(s): DOE/NBM-7008500; TR-72-027; ON: DE87008500
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED-PARTICLE REACTIONS
DATA
DIMENSIONS
DISPERSION RELATIONS
ENERGY RANGE
HADRON REACTIONS
INFORMATION
LENGTH
LOW-ENERGY THEOREM
MESON REACTIONS
MEV RANGE
MEV RANGE 10-100
NUCLEAR REACTIONS
NUMERICAL DATA
PION REACTIONS
SCATTERING LENGTHS
THEORETICAL DATA