The $(0^+,1^+)$ heavy meson multiplet in an extended NJL model

Details The $(0^+,1^+)$ heavy meson multiplet in an extended NJL model The $(0^+,1^+)$ heavy meson multiplet in an extended NJL model

1994-09-13

arxiv.org/abs/hep-ph/9409298v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages (LaTeX, 4 figures included as uuencoded ps.files using epsf.tex); HUB-IEP-94/14, UNITUE-THEP-18/1994

Scientific paper

In this letter we reconsider the previously given description of heavy mesons within a bosonized extended NJL model that combines heavy quark and chiral symmetry. In that work the naive gradient expansion of the quark determinant was used, which satisfactorily works in the light sector but does not adequately describe the heavy $(0^+,1^+)$ mesons. By investigating the exact momentum dependence of the quark loop we demonstrate that the naive gradient expansion in the heavy sector is not the right method to treat the unphysical $q\bar{q}$--thresholds which would be absent in confining theories. We propose a modified gradient expansion which adequately extrapolates from the low--momentum region beyond threshold. This expansion gives a satisfactory description even of the $(0^+,1^+)$ heavy mesons whose masses are significantly above threshold.

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