Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model

  • The QCD-like gauged NJL model with flavors Nf=2 is developed to derive the gap equation for the fermion in nuclear medium. In the free space, the gluon part in the gauged NJL model may contribute nearly 1/4 to the fermion mass. The chiral order parameter is consistent closely with the prediction of the QCD sum rules. Based on the gap equation, the fermion mass in nuclear medium is obtained and the dynamical properties of the scalar and pseudoscalar mesons are studied. The numerical results in the free space are in fair agreement with the experimental data.
  • [1] Nffebu Y, JOflatLasiniO G. PhyS. ffeV.3 1961, 122:3452 Bijllens J Phys. Rep, 19963 265:369 3 Biinens Jg de RafaelE Phys. bett, 1991, B273:483 4 hasUd8T,KunihifOTPhyS.ReP,1994,247:2215 Alkofer R. heinhardt H, Weigel H. Phys. Rep, 1996, 265: 139 6 Bemard V, Meissner Inf.G Zahed I Phys. Rev., 1987, D36:8187 Bemard V, Meissner Ulf–G. NllCL Phys. 1988, A489:647 8 Asakawa M, Yazaki K. NuCL Phys, 1989, A504:668 9 Henley E M,Muther H.Nucl.Phys,1990,A513:66710 Christov Chr V, Arriola E Rulz, Goeke X Nul. Phys., 1990, A510:689 11 Zhang P, Hufuer J, Xievansky S P. Nucl. Phys.,1994, A576:52512 Cugnon J, Jamnon Mm, Vandweerds Van den B0ssche B. Nul. Phys., l996, A598:515 13 Leung C N, Love S T, Bardeen W A. Nul. Phys., l986, B273:649; Bardeen W A, beung C N, Love S T.thel. Phvs., 1989, B323:49314 Appelqulst T, Soldate M Takeuchi T et al. Proc. l2th Johns Hopkins WorkshoP on CUrmct Problems inParticle Thory.In: Demokos G, Kovesi–DemokosSed. Worid Scienhfic.1988. 197 15 Kondo K–I, Mino ft Yaxnawaki K Phys. ffev., 1989, D39:243016 K0ndo KI, Shut0 S, Yamawaki K Mod. Phys. Dett., 1991, A6:338517 Miransky V A, Yamawch X Mod. Phys. ixtt., l989, A4: l2918 Miransky V A, Nonoyama T, Yamawaki K Mod. Phys. LetL, 1989, A4: l409 19 Kondo KI, Tanabashi M Yamawaki X Mod. Phys. Lett., l993, A8:2859 20 ffeinders L J, Rubinstein H, Yazall S. Phys. ffep., l985, 127:1
  • [1] Nffebu Y, JOflatLasiniO G. PhyS. ffeV.3 1961, 122:3452 Bijllens J Phys. Rep, 19963 265:369 3 Biinens Jg de RafaelE Phys. bett, 1991, B273:483 4 hasUd8T,KunihifOTPhyS.ReP,1994,247:2215 Alkofer R. heinhardt H, Weigel H. Phys. Rep, 1996, 265: 139 6 Bemard V, Meissner Inf.G Zahed I Phys. Rev., 1987, D36:8187 Bemard V, Meissner Ulf–G. NllCL Phys. 1988, A489:647 8 Asakawa M, Yazaki K. NuCL Phys, 1989, A504:668 9 Henley E M,Muther H.Nucl.Phys,1990,A513:66710 Christov Chr V, Arriola E Rulz, Goeke X Nul. Phys., 1990, A510:689 11 Zhang P, Hufuer J, Xievansky S P. Nucl. Phys.,1994, A576:52512 Cugnon J, Jamnon Mm, Vandweerds Van den B0ssche B. Nul. Phys., l996, A598:515 13 Leung C N, Love S T, Bardeen W A. Nul. Phys., l986, B273:649; Bardeen W A, beung C N, Love S T.thel. Phvs., 1989, B323:49314 Appelqulst T, Soldate M Takeuchi T et al. Proc. l2th Johns Hopkins WorkshoP on CUrmct Problems inParticle Thory.In: Demokos G, Kovesi–DemokosSed. Worid Scienhfic.1988. 197 15 Kondo K–I, Mino ft Yaxnawaki K Phys. ffev., 1989, D39:243016 K0ndo KI, Shut0 S, Yamawaki K Mod. Phys. Dett., 1991, A6:338517 Miransky V A, Yamawch X Mod. Phys. ixtt., l989, A4: l2918 Miransky V A, Nonoyama T, Yamawaki K Mod. Phys. LetL, 1989, A4: l409 19 Kondo KI, Tanabashi M Yamawaki X Mod. Phys. Lett., l993, A8:2859 20 ffeinders L J, Rubinstein H, Yazall S. Phys. ffep., l985, 127:1
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Jiang Weizhou and Qiu Xijun. Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model[J]. Chinese Physics C, 1999, 23(5): 481-488.
Jiang Weizhou and Qiu Xijun. Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model[J]. Chinese Physics C, 1999, 23(5): 481-488. shu
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Received: 1998-04-06
Revised: 1900-01-01
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Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model

    Corresponding author: Jiang Weizhou,
  • Changhai Institute of Nuclear Research, The Chinese Academy of Sciences, Shanghai 2018002 Department of Physics, Shanghai Univarsity, shanghai 201800

Abstract: The QCD-like gauged NJL model with flavors Nf=2 is developed to derive the gap equation for the fermion in nuclear medium. In the free space, the gluon part in the gauged NJL model may contribute nearly 1/4 to the fermion mass. The chiral order parameter is consistent closely with the prediction of the QCD sum rules. Based on the gap equation, the fermion mass in nuclear medium is obtained and the dynamical properties of the scalar and pseudoscalar mesons are studied. The numerical results in the free space are in fair agreement with the experimental data.

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