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The (0{sup +},1{sup +}) heavy meson multiplet in an extended NJL model

Abstract

In this letter we reconsider the previously given description of heavy mesons with 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{sup +}, 1{sup +}) 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 anti 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{sup +}, 1{sup +}) heavy mesons whose masses are significantly above threshold. (orig.)
Authors:
Ebert, T; [1]  Feldmann, T; [1]  Friedrich, R; [2]  Reinhardt, H [2] 
  1. Humboldt-Universitaet, Berlin (Germany). Inst. fuer Physik
  2. Tuebingen Univ. (Germany). Inst. fuer Theoretische Physik
Publication Date:
Sep 01, 1994
Product Type:
Technical Report
Report Number:
DESY-94-166; HUB-IEP-94/14
Reference Number:
SCA: 662420; PA: DEN-95:0F2162; EDB-95:039250; SN: 95001343076
Resource Relation:
Other Information: PBD: Sep 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SCALAR MESONS; PARTICLE STRUCTURE; FLAVOR MODEL; AXIAL VECTOR MESONS; CHIRAL SYMMETRY; QUARKS; PARTICLE MULTIPLETS; BOSON EXPANSION; SERIES EXPANSION; EXTRAPOLATION; SELF-ENERGY; LAGRANGIAN FIELD THEORY; FEYNMAN DIAGRAM; 662420; PROPERTIES OF MESONS AND MESON RESONANCES
OSTI ID:
10121428
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE95746148; TRN: DE95F2162
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
14 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Ebert, T, Feldmann, T, Friedrich, R, and Reinhardt, H. The (0{sup +},1{sup +}) heavy meson multiplet in an extended NJL model. Germany: N. p., 1994. Web.
Ebert, T, Feldmann, T, Friedrich, R, & Reinhardt, H. The (0{sup +},1{sup +}) heavy meson multiplet in an extended NJL model. Germany.
Ebert, T, Feldmann, T, Friedrich, R, and Reinhardt, H. 1994. "The (0{sup +},1{sup +}) heavy meson multiplet in an extended NJL model." Germany.
@misc{etde_10121428,
title = {The (0{sup +},1{sup +}) heavy meson multiplet in an extended NJL model}
author = {Ebert, T, Feldmann, T, Friedrich, R, and Reinhardt, H}
abstractNote = {In this letter we reconsider the previously given description of heavy mesons with 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{sup +}, 1{sup +}) 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 anti 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{sup +}, 1{sup +}) heavy mesons whose masses are significantly above threshold. (orig.)}
place = {Germany}
year = {1994}
month = {Sep}
}