Instantons and scalar multiquark states: From small to large N(c)

Sep, 2003
24 pages
Published in:
  • Phys.Rev.D 68 (2003) 114017
e-Print:

Citations per year

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Abstract:
We study scalar quark-anti-quark and two-quark-two-anti-quark correlation functions in the instanton liquid model. We show that the instanton liquid supports a light scalar-isoscalar (sigma) meson, and that this state is strongly coupled to both (qˉq)(\bar{q}q) and (qˉq)2(\bar{q}q)^2. The scalar-isovector a0a_0 meson, on the other hand, is heavy. We also show that these properties are specific to QCD with three colors. In the large NcN_c limit the scalar-isoscalar meson is not light, and it is mainly coupled to (qˉq)(\bar{q}q).
  • 11.15.Pg
  • 13.75.Lb
  • 12.38.Lg
  • bound state: (quark antiquark)
  • bound state: (2quark 2antiquark)
  • multiquark: scalar
  • pi pi: correlation function
  • instanton: liquid
  • f0(600)
  • a0(980)