b→cτ■ decay in supersymmetry with R-parity violation

In past years,several hints of lepton flavor universality(LFU)violation have emerged from the b→ct■,and b→sl~+l-data.More recently,the Belle Collaboration has reported the first measurement of the D* longitudinal polarization fraction in the B→D*τV decay.Motivated by this intriguing result,along with the recent measurements of RJ/Ψand τ polarization,we present the study of b→ct■ decays in supersymmetry(SUSY)with R-parity violation(RPV).We consider B→D(*)t■,Bc→ηct■,Bc→J/ψt■ and ∧b→∧ct■ modes and focus on the branching ratios,LFU ratios,forward-backward asymmetries,polarizations of daughter hadrons,and the τ lepton.The RPV SUSY was capable of explaining the RD(*) anomalies at the 2σ level,after taking into account various flavor constraints.In the allowed parameter space,the differential branching fractions and LFU ratios are largely enhanced by the SUSY effects,especially in the large dilepton invariant mass region.Moreover,a lower bound B(B~+→K~+vv)7.37×10~(-6) is obtained.These observables could provide testable signatures at the high-luminosity LHC and SuperKEKB,and correlate with direct searches for SUSY.     

Role of hyperfine mixing in b→c semileptonic decays of doubly-heavy baryons

We analyze the effects of hyperfine mixing in b → c semileptonic decays of doubly heavy baryons.We qualitatively confirm the results by W.Roberts and M.Pervin in Int.J.Mod.Phys.A,2009,24： 2401– 2413,finding that mixing has a great impact on those transitions.However,predictions without mixing differ by a factor of 2 and this discrepancy translates to the mixed case where large differences in decay widths are observed between the two calculations.     

Role of hyperfine mixing in b→c semileptonic decays of doubly-heavy baryons

We analyze the effects of hyperfine mixing in b → c semileptonic decays of doubly heavy baryons.We qualitatively confirm the results by W.Roberts and M.Pervin in Int.J.Mod.Phys.A,2009,24: 2401– 2413,finding that mixing has a great impact on those transitions.However,predictions without mixing differ by a factor of 2 and this discrepancy translates to the mixed case where large differences in decay widths are observed between the two calculations.     

Bs,d → μ+μ- decays in a flavor changing Z' model decays in a flavor changing Z' model

We study the pure leptonic decays Bs,d→μ+μ- in a Flavor Changing Z' Model. Prom the recent measurements of the branching ratios β(Bs,d →μ+μ-).we have derived the bounds on the effective μ-μ-Z' lepton coupling BμμL. We find that, (i) if neglecting the contribution from the right-handed lepton coupling BμμR, we obtain 1.32 < BμμL < 3.32; (ii) if considering the contribution from the right-handed lepton coupling BμμR and setting BμμL = BμμR, we obtain 0.99 < BμμL < 2.19. Our results could be useful for researching Z' effects.     

Polarization in ■ decays

Measurements of decay asymmetry parameters of charmed baryons,e.g.,■,provide more data to test the W-emission and W-exchange mechanisms controlled by strong and weak interactions.Taking advantage of the spin polarization in charmed baryon decays,we investigate the possibility to measure weak decay asymmetry parameters in thee~+e~-→■ process.We analyze the transverse polarization spontaneously produced in this process and the spin transfer in the subsequent ■ decays.The sensitivity to measure the asymmetry parameters is estimated for the decay ■→■.     

Spectrum of a scalar field in a Gödel cosmological model

A study is made of the spectrum of a scalar field for the general case of a causal metric of the Gödel type. Its substantial difference from the spectrum of a noncausal metric is demonstrated. In a causal metric, the spectrum of scalar particles is divided into three regions: 1) a region of low energy and a discrete spectrum; 2) a region of intermediate energy and a continuous spectrum, with the same dispersion relation; 3) a region of high energy and likewise a continuous spectrum, but with a different dispersion relation. In the latter case, the dispersion relation is symmetrical with respect to a sign change of the particle energy , whereas in the first two cases symmetry is conserved only for a simultaneous sign change of both and the projection of the orbital moment onto the z axis. For nonzero mass and a quite low z component of the particle momentum, the upper and lower continua of the states merge, and the energy gap disappears.St. Petersburg University of Economics and Finance. Translated from Izvestiya Vysshikh Zavedenii, Fizika, No.9, pp. 39–43, September, 1993.     

HMO model of scalar field in vacuum

In this paper, the HMO model of scalar field in vacuum is developed using the covariant field theory, in which the so-called current density and mass density of optical fluid are obtained and analyzed.     

Analysis of Λ_b →Λl~+l~- rare decays in a non-universal Z’ model

We investigate the rare baryonic Λ_b→Λl~+l~- decays in a non-universal Z’ model, which is one of the wellmotivated extensions of the standard model(SM). Considering the effects of Z-mediated flavour-changing neutral currents(FCNCs) we analyse the differential decay rate, forward-backward asymmetries and lepton polarisation asymmetries for the Λ_b→Λl~+l~- decays. We find significant deviations from their SM predictions, which could indicate new physics arising from the Z gauge boson.     

HMO model of scalar field in vacuum

In this paper, the HMO model of scalar field in vacuum is developed using the covariant field theory, in which the so-called current density and mass density of optical fluid are obtained and analyzed.     

Production of a pion system in exclusive B c → V (P)+n π decays

Exclusive Bc-meson decays accompanied by the production of vector or pseudoscalar heavy quarkonia (η _c , η _c (2S), J/φ, φ(2S), and B _s ^(*) ) and an nπ light-meson system, where 1 ≤ n ≤ 5, are considered.     

Study of scalar meson a0(980) from B→a0(980)π decays

In this paper, we calculate the branching ratios and the direct CP-violating asymmetries for decays B0 →a00(980)π0, a0+(980)π-, a0-(980)π and B- →a00(980)π-, a0-(980)π0 by employing the perturbative QCD (pQCD) factorization approach at the leading order. We found that (a) the pQCD predictions for the branching ratios are around (0.4 - 2.8) × 10-6, consistent with currently available experimental upper limits; (b) the CP asymmetries of B0→ao(980)π0 and B-→a0-(980)π0 decays can be large, about (70-80)% for α = 100°.     

Study of scalar meson a0（980） from B → a0（980）π decays

In this paper, we calculate the branching ratios and the direct CP-violating asymmetries for decays B^0 → a0^0（980）π^0, a0^＋ （980）π^-, a0^-（980）π^＋ and B^- → a0^0 （980）π^-, a0^- （980）π^0 by employing the perturbative QCD （pQCD） factorization approach at the leading order. We found that （a） the pQCD predictions for the branching ratios are around （0.4-2.8） × 10^-6, consistent with currently available experimental upper limits; （b） the CP asymmetries of B^0→ a0^0（980）π^0 and B^- → a0^- （980）π^0 decays can be large, about （70-80）% for α= 100°.     

The Z → c \bar c → γγ*, Z → b \bar b → γγ* triangle diagrams and the Z → γψ, Z → γϒ decays

The approach to the Z → γψ and Z → γ? decay study is presented in detail, based on the sum rules for the Z → c $ \bar c $ → γγ* and Z → b $ \bar b $ → γγ* amplitudes and their derivatives. The branching ratios of the Z → γψ and Z → γ? decays are calculated for different hypotheses on saturation of the sum rules. The lower bounds of Σ _ψ BR(Z → γψ) = 1.95 × 10^?7 and Σ_υ BR(Z → γ?) = 7.23 × 10^?7 are found. Deviations from the lower bounds are discussed, including the possibility of BR(Z → γJ/ψ(1S)) ～ BR(Z → γ?(1S)) ～ 10^?6, that could be probably measured in LHC. The angular distributions in the Z → γψ and Z → γ? decays are also calculated.     

Phenomenological study of ■ decays

The measurement of decay parameters is one of the important goals of particle physics experiments, and the measurement serves as a probe to search for evidence of CP violation in baryonic decays. The experimental results will aid in advancing existing theoretical research and establishing new experimental objectives. In this study,we formulate the asymmetric parameters that characterize parity violation, and then derive formulas for the measurement of CP violation. The formulae for the joint ang...     

Hadronic decays of N and Δ resonances in a chiral quark model

π and η decay modes of light baryon resonances are investigated within a chiral quark model whose hyperfine interaction is based on Goldstone-boson exchange. For the decay mechanism a modified version of the ³ P ₀ model is employed. Our primary aim is to provide a further test of the recently proposed Goldstone-boson exchange constituent quark model. We compare the predictions for π and η decay widths with experiment and also with results from a traditional one-gluon exchange constituent quark model. The differences between nonrelativistic and semirelativistic versions of the constituent quark models are outlined. We also discuss the sensitivity of the results on the parameterization of the meson wave function entering the ³ P ₀ model. Received: 11 May 2001 / Accepted: 17 September 2001     

Radiative leptonic decay Bc^-→τ^vτ^-γ in the standard model and the two-Higgs-doublet model

We analyze the radiative leptonic Bc decay Bc^-→τ^vτ^-γ in the Standard Model and the two- Higgs-doublet model using the non-relativistic constituent quark model. The results confirm that this channel is experimentally promising in view of the large number of Bc mesons which are expected to be produced at future hadron facilities. We also find that this decay is sensitive to the parameters of the two-Higgs-doublet model, and it can be tested in future experiments.     

Bs,d → μ^μ^- decays in a flavor changing Z＇ model

We study the pure leptonic decays Bs,d → μ^μ^- in a Flavor Changing ZI Model. From the recent measurements of the branching ratios B（Bs,d → μ^μ^-）, we have derived the bounds on the effective μ-μ-Z＇ lepton coupling Bμμ^L. We find that, （i） if neglecting the contribution from the right-handed lepton coupling R L Bμμ^R, we obtain 1.32 〈 Bμμ^L 〈 3.32; （ii） if considering the contribution from the right-handed lepton coupling Bμμ^R and setting Bμμ^R and setting Bμμ^L= Bμμ^R, we obtain 0.99 〈 Bμμ^L 〈 2.19. Our results could be useful for researching Z＇ effects.