We would like to point out here that the mass of the sigma meson is taken as 680 MeV to ﬁt the parameters in sets b and f , due to which we obtain mu = 12.5 MeV in set f .
Investigation of Phase Diagram and Bulk Thermodynamic Properties using PNJL Model with Eight-Quark Interactions
The value of mu in set f is higher than the value of mu = 5 − 9 MeV that is usually quoted in the literature. A lower mass value of sigma meson ∼ 660 MeV may give a lower value of current u quark mass but then the constituent u quark mass will be much higher than the value obtained for other input parameter sets.
Investigation of Phase Diagram and Bulk Thermodynamic Properties using PNJL Model with Eight-Quark Interactions
B0) the quark-mass matrix in the isospinsymmetric limit mu = md = ˆm, and the baryon and meson ﬁelds represented by the usual 3×3matrices B and Σ = ξ ξ = eiϕ/f , respectively.
Light Higgs Production in Hyperon Decay
If one limits the external momenta to values small compared to ms and treats mu and md as small in comparison to ms , the degrees of freedom of the K – and η– mesons freeze and one can work out explicitly the strange quark mass dependence of the LECs in SU(2)×SU(2) from the effective action pertaining to SU(3)×SU(3).
Lattice QCD, Chiral Perturbation Theory and Hadron Phenomenology
K = B0(ms + mu ) to replace quark masses with the mesons masses.
$K_{S}$ $\to$ $\gamma \gamma$ at one-loop revisited
As mentioned above, most of the lattice calculations concerning the properties of the light mesons are performed in the isospin limit of QCD (mu − md → 0 at ﬁxed mu + md ).
Review of lattice results concerning low energy particle physics
The uncertainties in the lattice results discussed so far for the ratio mu/md are dominated by those in the e.m. contributions to the meson masses.
Review of lattice results concerning low energy particle physics
The above effective Lagrangian (2.3) is believed to describe accurately QCD dynamics at energies E ≪ ΛQCD for the light quarks 85 : mu,d <∼ 10 MeV, ms <∼ 150 MeV It may be regarded as the ﬁrst step in a systematic bosonization of QCD, i.e., the expression of QCD dynamics in terms of meson ﬁelds.
The Strange Spin of the Nucleon
Note that a special treatment has to be reserved to ξ for the two sets of parameters Mu = 450 MeV and Mu = 300 MeV because of the threshold problem due to the lack of conﬁnement of the NJL model (the meson can unphysically decay into two free quarks).
The 3-flavor A-scaled Nambu-Jona-Lasinio model
We keep the (tiny) corrections proportional to the u and d quark-masses mu and md to indicate the SU(3)-breaking corrections for K ∗ - and φ-mesons.
Handbook of Higher Twist Distribution Amplitudes of Vector Mesons in QCD
II-2) On the decay modes with charged leptons The decay modes give total view, e+ or mu+ and pi or K or other mesons, so, we can check kinematics of each events, namely, candidate events should have the fixed conditions.
Discussion on the nucleon decay experiments
The one loop corrections f (2) ± (t) arising from mesonic intermediate states, including isospin breaking effects induced by mu 6= md , are known 12, 13) for quite some time.
Chiral perturbation theory confronted with experiment
We examine this expectation by plotting a pair of dimensionless quantities, ((r0mp)2 , r0mr) in Figure 4. mp, mr are pseudo-scalar and vector meson masses respectively at relatively large valence quark mass set to be equal to sea quark mass mu,d .
The static quark potential in 2+1 flavour Domain Wall QCD from QCDOC
The values of the quark masses, obtained by ﬁts to meson masses, are: mu = md = 38 M eV , ms = 115 M eV , mc = 1452 M eV , mb = 4890 M eV .
Heavy Meson Dynamics in a QCD Relativistic Potential Model
The mass pattern of the pseudoscalar mesons in QCD in the chiral limit mu = md = 0.
The Symmetry and the Problem of Mass Generation
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