Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three- Flavour Sigma Model Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model Denis Parganlija In collaboration with Francesco Giacosa and Dirk H. Rischke (Frankfurt) György Wolf and Péter Kovács (Budapest) heoretische Physik Technische Universität Wien, Goethe-Univers [Based on: Phys.Rev. D82 (2010) 054024 (arXiv:1003.4934) Int.J.Mod.Phys. A26 (2011) 607-609 (arXiv:1009.2250) and PhD Thesis of D. Parganlija (2012)]
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Scalar and Axial-Vector Mesons in a Three- Flavour Sigma Model
Institut für Theoretische Physik Technische Universität Wien , Goethe- Universität Frankfurt. Scalar and Axial-Vector Mesons in a Three- Flavour Sigma Model. Denis Parganlija In collaboration with Francesco Giacosa and Dirk H. Rischke (Frankfurt) György Wolf and Péter Kovács - PowerPoint PPT Presentation
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Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Denis Parganlija
In collaboration withFrancesco Giacosa and Dirk H. Rischke
(Frankfurt)György Wolf and Péter Kovács
(Budapest)
Institut für Theoretische Physik Technische Universität Wien, Goethe-Universität Frankfurt
[Based on: Phys.Rev. D82 (2010) 054024 (arXiv:1003.4934)
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
No fit with 𝒇𝟎ሺ𝟔𝟎𝟎ሻ and 𝒇𝟎ሺ𝟗𝟖𝟎ሻ as 𝒒ഥ𝒒 states No fit with 𝑲𝟎∗ሺ𝟖𝟎𝟎ሻ as 𝒒ഥ𝒒 state No reasonable fit with 𝒇𝟎ሺ𝟔𝟎𝟎ሻ and 𝒇𝟎ሺ𝟏𝟑𝟕𝟎ሻ as 𝒒ഥ𝒒 states → 𝒎𝑲𝟎∗ ~ 𝟏.𝟏 GeV or 𝒎𝒂𝟎 ~ 𝟏.𝟐 GeV
~ Gluon Condensate Quark CondensatesMeV 761 obtain We 1 m
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Note: Nf = 2 LimitThe f0(600) state not preferred to be
quarkonium
[Parganlija, Giacosa, Rischke in Phys. Rev. D 82: 054024, 2010;
arXiv: 1003.4934]
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Note: Nf = 2 Limit
MeV )500200(
MeV, )15001200( :PDG
)1370(
)1370(
0
0
f
fm
qqf tlypredominan as )1370( favours data alExperiment 0
[Parganlija, Giacosa, Rischke in Phys. Rev. D 82: 054024, 2010;
arXiv: 1003.4934]
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Scenario II (Nf =2): Scattering Lengths
Scattering lengths saturated
Additional scalars: tetraquarks, quasi-molecular states
Glueball
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Scenario II (Nf =2): Parameter Determination
Masses:Pion Decay Constant Five Parameters: Z, h1, h2, g2, mσ
10,,,, aa mmmmm
Zf
)(MeV 1.0)(149.4 22 Zgg )(MeV )13265( 22)1450(0
Zhha
ZZa MeV )246.0640.0(][1
)small ( 0 3,21 hh
free )1370(0fmm
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Scenario I (Nf =2): Other Results
Our Result Experimental Value
MeV 640.01
a
exact ],[ ],,[ 22 01hZgZΓ af
MeV 640.01
a(NA48/2) 218.00
0 a218.000 a
0454.020 a (NA48/2) 0457.02
0 a
deg 5.041.4 :angle mixing η'η[KLOE Collaboration, hep-ex/0612029v3]: [D. V. Bugg et al.,
Phys. Rev. D 50, 4412 (1994)]
MeV 33300
aAMeV 3330
0aA
deg41.8 :angle mixing 0.50.2-
η'η
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Scenario I (Nf =2): a1→σπ Decay m1 = 0 → mρ generated from the quark condensate only;
our result: m1 = 652 MeV a1→σπ
MeV )600250(:PDG (total) 1a
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Comparison: the Model with and without Vectors and Axial-Vectors (Nf=2)
decrease values
vectors Include
Note: other observables (ππ scattering lengths, a0(980)→ηπ decay amplitude, phenomonology of a1, and others) are fine [Parganlija, Giacosa, Rischke, Phys. Rev. D 82: 054024, 2010]
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Scenario I (Nf =2): a1 → ρπ Decay
MeV )600250(:PDG
[M. Urban, M. Buballa and J. Wambach, Nucl. Phys. A 697, 338 (2002)]
MeV 500 ifMeV 160 m
Denis Parganlija (TU Vienna / GU Frankfurt) Scalar and Axial-Vector Mesons in a Three-Flavour Sigma Model
Scenario I (Nf =2) : Parameter Determination
Three Independent Parameters: Z, m1, mσ
MeV )246.0640.0(][1
Za
][ 020.0218.0],,[ 11
00
mmmZa
Isospin
Angular Momentum (s wave)[NA48/2 Collaboration, 2009]