{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T05:25:24Z","timestamp":1759814724851},"reference-count":32,"publisher":"World Scientific Pub Co Pte Lt","issue":"32","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Mod. Phys. A"],"published-print":{"date-parts":[[2002,12,30]]},"abstract":"<jats:p> We calculate the low energy \u03c0 \u03c0 scattering lengths [Formula: see text] and [Formula: see text], the coupling of the \u03c1 to the pion g<jats:sub>\u03c1 \u03c0 \u03c0<\/jats:sub>, the total width of the \u03c1, the low q<jats:sup>2<\/jats:sup> behavior of the pion electromagnetic form factor, and the pion scalar form factor within a chiral SU(2) <jats:sub>f<\/jats:sub> NJL-type Lagrangian where the spin 1 \u03c1 meson is generated from a four-quark tensor interaction. Such a simple model avoids the mathematical complication related to \u03c0 - a<jats:sub>1<\/jats:sub> mixing. Two types of regularization are discussed, mainly affecting the values of [Formula: see text] and [Formula: see text]. We find rather good agreement with data. The \u03c1 meson described in this way does not account for the meson vector dominance model: it does not contribute to the [Formula: see text] scattering lengths, and the charge radius of the pion is mainly ascribed to the bare photon quark coupling. Even if the shape of the electromagnetic form factor is well reproduced, the strong increase near the \u03c1 pole does not account for the \u03c1\u2192\u03c0\u03c0 decay but only reflects the [Formula: see text] structure of the \u03c1. <\/jats:p>","DOI":"10.1142\/s0217751x02012132","type":"journal-article","created":{"date-parts":[[2002,12,20]],"date-time":"2002-12-20T11:13:16Z","timestamp":1040382796000},"page":"4903-4925","source":"Crossref","is-referenced-by-count":9,"title":["PION AND \u03c1 MESON OBSERVABLES IN A NAMBU\u2013JONA-LASINIO  MODEL INCLUDING A TENSOR INTERACTION"],"prefix":"10.1142","volume":"17","author":[{"given":"M.","family":"JAMINON","sequence":"first","affiliation":[{"name":"Institut de Physique, B5, Universit\u00e9  de Li\u00e8ge, 4000 Li\u00e8ge, Belgium"}]},{"given":"M. C.","family":"RUIVO","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica da Universidade  de Coimbra, P-3004-516 Coimbra, Portugal"}]},{"given":"C. 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