Inverse mass ordering of light scalar mesons in the Nambu–Jona-Lasinio model

Author:

Saionji Takahiro1,Jido Daisuke1,Harada Masayasu234

Affiliation:

1. Department of Physics, Tokyo Institute of Technology , Tokyo 152-8551 , Japan

2. Department of Physics, Nagoya University , Nagoya 464-8602 , Japan

3. Kobayashi–Maskawa Institute for the Origin of Particles and the Universe , Nagoya University, Nagoya 464-8602 , Japan

4. Advanced Science Research Center, Japan Atomic Energy Agency , Tokai 319-1195 , Japan

Abstract

AbstractThe masses of the low-lying scalar mesons are investigated in the three-flavor Nambu–Jona-Lasinio (NJL) model by treating the scalar mesons as composite objects of a quark and an antiquark. It is known that a simple $\bar{q}q$ picture fails to reproduce the so-called inverse mass ordering for the scalar mesons. Recently a new mechanism to reproduce the observed mass spectrum of the scalar mesons was proposed in a linear sigma model by introducing flavor symmetry breaking induced by the U(1) axial anomaly. Motivated by this proposal, we examine whether this new mechanism also works in the NJL model. By calculating the scalar meson masses, we find that the NJL model reproduces the observed mass ordering with sufficient strength of the new term. With this mechanism, it turns out that the constituent strange quark mass becomes degenerate to that of the up and down quarks if the inverse mass ordering is reproduced. We also discuss the scalar diquark masses to check the consistency of the degeneracy of the constituent quark masses with the light baryon masses.

Funder

SCOAP

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

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