Sum rules for total hadronic widths of light mesonsand rectilinear stitch of the masses on the complex plane

Majewski, M.

doi:10.1140/epjc/s2003-01279-0

Cited by 5 publications

(16 citation statements)

References 4 publications

(5 reference statements)

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“…The part of the present paper concerning the nonet of 0 ++ mesons is a continuation of the previous analysis [9]. We justify the status and confirm the properties of the scalar nonet which were admitted to be still controversial there.…”

Section: Introductionsupporting

confidence: 74%

“…The S nonet follows from the assumption that two exotic commutators (3) vanish. Then we would have three ME, just enough for determining |l i | 2 s. As we know from fits of the meson nonets [9], the S nonet is not very different from the I one and we hope that the properties of the decuplets built on them are not very different. However, choosing the S basic nonet we would be left without the mass formula and the ordering rule.…”

Section: Decuplet Of Mesons Glueball Mixing 41 the Masses Widths Amentioning

confidence: 99%

“…This method was also applied to describing a finite-width (complex-mass) mesons. Many nonets with different J P C were fitted [9]. The fits demonstrate that most of the observed nonets are the S ones.…”

Section: Introductionmentioning

confidence: 96%

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The multiplets of finite-width 0++ mesons and encounters with exotics

Majewski

2006

Eur. Phys. J. C

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Complex-mass (finite-width) 0 ++ nonet and decuplet are investigated by means of exotic commutator method. The hypothesis of vanishing of the exotic commutators leads to the system of master equations (ME). Solvability conditions of these equations define relations between the complex masses of the nonet and decuplet mesons which, in turn, determine relations between the real masses (mass formulae), as well as between the masses and widths of the mesons. Mass formulae are independent of the particle widths. The masses of the nonet and decuplet particles obey simple ordering rules. The nonet mixing angle and the mixing matrix of the isoscalar states of the decuplet are completely determined by solution of ME; they are real and do not depend on the widths. All known scalar mesons with the mass smaller than 2000M eV (excluding σ(600)) and one with the mass 2200 ÷ 2400M eV belong to two multiplets: the nonet (a0(980), K0(1430), f0(980), f0(1710)) and the decuplet (a0(1450), K0(1950), f0(1370), f0(1500), f0(2200)/f0 (2330)). It is shown that the famed anomalies of the f0(980) and a0(980) widths arise from an extra "kinematical" mechanism, suppressing decay, which is not conditioned by the flavor coupling constant. Therefore, they do not justify rejecting the qq structure of them. A unitary singlet state (glueball) is included into the higher lying multiplet (decuplet) and is divided among the f0(1370) and f0(1500) mesons. The glueball contents of these particles are totally determined by the masses of decuplet particles. Mass ordering rules indicate that the meson σ(600) does not mix with the nonet particles. *

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Section: Introductionsupporting

confidence: 74%

Section: Decuplet Of Mesons Glueball Mixing 41 the Masses Widths Amentioning

confidence: 99%

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The multiplets of finite-width 0++ mesons and encounters with exotics

Majewski

2006

Eur. Phys. J. C

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“…The mass spread of the 0 −+ multiplets is shrinking for consecutive multiplets (nonet 137÷958 MeV, decuplet 1295 ÷ 1475 MeV, perhaps degenerate octet at 1800 MeV). The tendency of shrinking the mass spread of the higher lying multiplets is even more clearly expressed in the spectrum of 1 −− mesons where all known multiplets above 1400 MeV (at 1400 MeV and 1800 MeV) are degenerate octets [35]. But this tendency is not seen in the spectrum of the 0 ++ multiplets -at least below 2300 MeV.…”

Section: Pseudoscalar Versus Scalar Meson Multiplets 41 Parity Relatmentioning

confidence: 99%

Where is the pseudoscalar glueball?

Majewski¹,

Meshcheryakov²

2011

J. Phys. G: Nucl. Part. Phys.

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The pseudoscalar mesons π(1300), K(1460), η(1295), η(1405) and η(1475) are assumed to form the meson decuplet which includes the glueball as the basis state supplementing the standard SU (3)F nonet of light qq states (q = u, d, s). The decuplet is investigated by using the algebraic approach based on the hypothesis of vanishing exotic commutators (VEC) of SU (3)F "charges" and their time derivatives. This leads to a system of master equations (ME) determining: (a) octet contents of the physical isoscalar mesons, (b) the mass formula relating all masses of the decuplet and (c) the mass ordering rule. The states of the physical isoscalar mesons η(1295), η(1405), η(1475) are expressed as superpositions of the "ideal" qq (N and S) states and the glueball G one. The "mixing matrix" realizing transformation from the unphysical states to the physical ones follows from the octet contents and is expressed totaly by the decuplet meson masses. Among four one-parameter families of the resulting mixing matrices (multitude of the solutions arising from bad quality of data on the π(1300) and K(1460) meson masses) there is a family attributing the glueball-dominated composition to the η(1405) meson. The pseudoscalar decuplet is similar in some respects to the scalar one: both are composed of the excited qq states and G; the mass ordering of their N, S, G -dominated isoscalars is the same. Contrary to the Lattice QCD and other predictions, the mass m G −+ of the pseudoscalar pure glueball state is smaller than the scalar m G

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“…The decuplet MF (22) can be solved with respect to the mass of this extra meson. According to the nomenclature adopted for the isoscalar mesons (10) we denote this meson as x 2 (the symbols x 1 and x 3 are attributed to the mesons f 2 (1270) and f ′ 2 (1525) dominated by N and S states). The solution is 48) and the mesons (42)…”

Section: Is the Well Known Tensor Nonet Really A Nonet?mentioning

confidence: 99%

Localization of the glueball and possible decuplets of tensor mesons

Majewski¹

2015

J. Phys. G: Nucl. Part. Phys.

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We continue the study of flavor aspects of strong interaction. The answer to the question of glueball existence is probably a necessary step in this investigation. The existence of the glueball implies the existence of the decuplet. The model we consider requires that the mass of meson decuplet dominated by the glueball is enclosed between the masses of the ideal nonet N and S states.This description is applied to the two sets of the tensor mesons. One of them comprise the well known particles which are attributed to the widely known nonet 2 ++ . We argue that they belong to a decuplet if there exists the isoscalar tensor meson having the mass obeying the condition on glueball dominated meson; the meson f2(1430) could be a candidate. Another set includes large number of mesons lying in the 2GeV region. This set is used to test ability of the model to select particles belonging to the decuplet. *

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Sum rules for total hadronic widths of light mesonsand rectilinear stitch of the masses on the complex plane

Cited by 5 publications

References 4 publications

The multiplets of finite-width 0++ mesons and encounters with exotics

The multiplets of finite-width 0++ mesons and encounters with exotics

Where is the pseudoscalar glueball?

Localization of the glueball and possible decuplets of tensor mesons

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