Bethe-Salpeter Meson Masses Beyond Ladder Approximation

The effect of quark-gluon vertex dressing on the ground-state masses of the u/d-quark pseudoscalar, vector and axialvector mesons is considered with the Dyson-Schwinger equations. This extends the ladder-rainbow Bethe-Salpeter kernel to two-loops. To render the calculations feasible for this exploratory study, we employ a simple infrared dominant model for the gluon exchange that implements the vertex dressing. The resulting model, involving two distinct representations of the effective gluon exchange kernel, preserves both the axial-vector Ward-Takahashi identity and charge conjugation symmetry. Numerical results confirm that the pseudoscalar meson retains its Goldstone boson character. The vector meson mass, already at a very acceptable value at ladder level, receives only 30MeV of attraction from this vertex dressing. For the axial-vector states, which are about 300MeV too low in ladder approximation, the results are mixed: The 1^+– state receives 290MeV of repulsion, but the 1⁺⁺ state is lowered further by 30MeV. The exotic channels 0^–– and 1^–+ are found to have no states below 1.5GeV in this model.     

The Effects of Vacuum Fluctuations on ρ Meson Masses in Hot and Dense Matter

Based on the thermo field dynamics, the temperature- and density-dependent effective mass and screening mass of ρ meson in the vector-tensor ρ-meson-nucleon-nucleon coupling model have been calculated. The effects of the vacuum fluctuation corrections through the effective nudeon mass are examined. We have shown that the vacuum fluctuation gives an important correction to the self-energy of ρ meson and leads to a reduction of ρ-meson mass in hot and dense matter.     

On the Masses of Quarks

Russian Physics Journal -     

Meson spectrum

Using the Klein-Gordon equation with a box potential, a mass formula describing the family of nonflavored meson states withI=1 is derived. The energy levels calculated agree with those observed within an accuracy of 5%. In the model discussed quarks behave like tachyons.     

Bc Meson Studies

Our studies on the meson Bc are briefly reviewed. The decays of the meson Bc to a P-wave charmonium χc or hc are reported comparatively precisely because they are fresh results obtained recently.     

On Vacuum Fluctuations and Particle Masses

The idea that the mass m of an elementary particle is explained in the semi-classical approximation by quantum-mechanical zero-point vacuum fluctuations has been applied previously to spin-1/2 fermions to yield a real and positive constant value for m, expressed through the spinorial connection Γ _i in the curved-space Dirac equation for the wave function ψ due to Fock. This conjecture is extended here to bosonic particles of spin 0 and spin 1, starting from the basic assumption that all fundamental fields must be conformally invariant. As a result, in curved space-time there is an effective scalar mass-squared term , where R is the Ricci scalar and Λ _b is the cosmological constant, corresponding to the bosonic zero-point energy-density, which is positive, implying a real and positive constant value for m ₀, through the positive-energy theorem. The Maxwell Lagrangian density for the Abelian vector field F _ij ≡A _j,i −A _i,j is conformally invariant without modification, however, and the equation of motion for the four-vector potential A _i contains no mass-like term in curved space. Therefore, according to our hypothesis, the free photon field A _i must be massless, in agreement with both terrestrial experiment and the notion of gauge invariance.     

Heavy Meson Spectroscopy

In this article we give a review of certain aspects of the present understanding of spectroscopy of heavy mesons and constituent quark masses in the light of non-relativistic potential model approach motivated by quantum chromodynamics. We find that the one gluon exchange at short distance and colour-confining interaction at large distance which is pure scalar (or scalarvector admixture with dominant scalar interaction) under the Lorentz transformation, can explain only partially the present data on 1 P states of bb and bb states. The S-wave data, that are available at present, however can be understood with both scalar confinement or scalar-vector admixture with scalar-dominant interaction.     

Some New Features in the Pseudoscalar Meson and Vector Meson Photoproductions

We investigate the role of the t-channel meson exchange in various photoproduction processes to discuss features of the respective production mechanism. For the less model-dependent analysis we work with the t-channel meson pole reggeized in the Born approximation amplitude. With the meson–baryon coupling constants chosen consistently with symmetry prediction we show that the Reggeized pole model could reproduce the experimental data to a good degree in the lower energy region. Numerical consequences show the significance of the tensor meson exchange in the γ p → K ⁺Λ, the dominance of the pseudoscalar meson exchange in the πΔ (and KΣ*) processes, and the sizable role of the vector-meson magnetic moment in the charged ρ (and K*) photoproductions, respectively. These new features from the present analyses could provide a useful guide for future study of the N* resonances in the low energy region.     

Meson decays of hypertritium

Using ³ H and³He wave functions found by multiparameter variation calculations with N-potentials consistent with fundamental hypernuclear data and Afnan-Tang and Malfiet-Tjon type NN-potentials, the fraction of two particle ^–-decays in the total number of ^–-decays in ³ H is calculated and the ³ H lifetime is estimated. The results obtained are compared with experimental data on decay and binding energy of ³ H.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 44–48, March, 1988.     

Meson and tetra-quark mixing

The mixing between qq̄ meson and qq̄qq̄ tetra-quark states is examined within an effective QCD Coulomb gauge Hamiltonian model. Mixing matrix elements of the Hamiltonian are computed and then diagonalized yielding an improved prediction for the low-lying J^PC=0^±+,1^– isoscalar spectra. Mixing effects were found significant for the scalar hadrons but not for the 1^– states, which is consistent with the ideal mixing of vector mesons. A perturbative assessment of the exact QCD kernel is also reported. PACS  12.39.Mk; 12.39.Pn; 12.39.Ki; 12.40.Yx     

Meson baryon sum rules

The PCAC consistency condition, the Adler-Weisberger sum rule and the dispersion superconvergent sum rule have been saturated with resonance contributions only. Strangeness-changing currents and strangeness-conserving currents have been considered and compared. The results obtained also support PCAC for the strangeness conserving current. While in theπN case PCAC and the Adler-Weisberger sum rule are almost saturated with the famous N ₃₃ ^* resonance only, in the KN caseY ₁ ^* (1385),Y ₀ ^* (1405) andY ₀ ^* (1520) seem to be sufficient. The superconvergent sum rule works very well in the case ofπN scattering, including the contribution of twelve resonances. For KN scattering it can be neither established nor disapproved.     

Meson distributions in photoproduction

Extension of the nova model is applied to γ + p → π + anything. The concept of a photon is motivated from vector dominance, and the parameters describing the production of photon novas are estimated from hadron results. The model is essentially without arbitrary parameters. We compare with inclusive and exclusive data at 9.3 GeV/c, where we find excellent agreement. Predictions for 20 GeV/c are also presented.     

Meson spectrum in Regge phenomenology

Under the assumption that both light and heavy quarkonia populate approximately linear Regge trajectories with the requirements of additivity of intercepts and inverse slopes, the masses of different meson multiplets are estimated. The predictions derived from the quasi-linear Regge trajectories are in reasonable agreement with those given by many other references.Received: 22 April 2004, Revised: 10 August 2004, Published online: 7 September 2004De-Min Li: lidm@zzu.edu.cnMailing address: Department of Physics, Zhengzhou University, Zhengzhou, Henan, 450052, P.R. China     

Meson scattering on nucleons I

It is assumed that nucleons are described by anomalous equations for particles with spin 1/2. meson interaction with nucleons is taken in the form of pseudoscalar coupling. meson scattering on the nucleons is calculated in the first approximation of the perturbation theory. The cross-sections are dependent on several interaction constants and on one free parameter. The course of the cross-sections is determined for special values of the interaction constants and it is shown that by suitably choosing them qualitative agreement with experiment at lower energies can be obtained.

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, 1/2. - . - . . , .

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In conclusion the author thanks members of the mathematical department of the Institute of Nuclear Research for carefully carrying out the numerical calculations.     

Meson production in nucleon-nucleon collisions

I review some recent works on meson production in nucleon-nucleon collisions. In particular, I report on an investigation of the reaction NN → NNπ near threshold where the production amplitude has been evaluated within chiral perturbation theory up to next-to-leading order, using a counting scheme that takes into account the large scale introduced by the initial momentum. With regard to other meson-production reactions I focus on a phenomenological analysis of the Λ/Σ⁰ production ratio in pp collisions.     

Meson masses from charmed harmonium

We calculate the masses of the charmed and non-charmed mesons in a harmonic oscillator quark model. Internal symmetry breaking is introduced by a potential having a smaller width for strange and charmed quarks.     

Meson decays of the glueball

We estimate the decay widths of the 0^±-glueballs by taking account of the mixings with η and η′ through their anomalous coupling. We find a pseudoscalar glueball with a broad decay width, if its mass is larger than m_δ(980) + m_π. On the other hand, a scalar glueball has a narrow decay width. Assuming E(1440) to be the pseudoscalar glueball, we predict Γ_δ(980)ππ≈ 40 MeV.