Contribution of the <Emphasis Type="Italic">ππ</Emphasis> components of the sigma and rho mesons to pion-nucleon scattering

For elastic pion-nucleon scattering at a collision energy below the threshold for the production of two pions, dynamical effects are studied that are induced by the presence of a ππ component in the structure of the σ(400–1200) and ρ(770) resonances. These effects manifest themselves both in the Green’s functions for the sigma and rho mesons and in the form factors for the interaction of these mesons with nucleons. The scattering amplitude is calculated on the basis of the K-matrix formalism, the mechanism of dressing being taken into account in the πNN and πNΔ form factors and in the nucleon and delta-isobar Green’s functions. The method of dispersion relations is used to calculate the real parts of the form factors and functions that parametrize self-energy operators. It is shown that, if strong interaction is taken explicitly into account in the ππ system, elastic pion-nucleon scattering can be described satisfactorily without introducing a sigma meson as an elementary particle.     

Resolution of the pion puzzle: The QCD string in Nambu-Goldstone mesons

Pions and kaons have a double nature: the chiral dynamics of Nambu-Goldstone bosons together with the usual string dynamics common to all mesons. To uncover the interplay of both dynamics, the effective chiral Lagrangian is derived from the QCD Lagrangian using the field correlator method, and the pion self-energy (mass) operator is written explicitly. The latter contains an infinite number of poles, but is normalized to zero at zero momentum because of spontaneous chiral symmetry breaking. As a result, one obtains the Gell-Mann-Oakes-Renner relation for the ground-state pion and (slightly shifted by chiral dynamics) the usual spectrum of radially excited pions starting with π(1300).     

Nuclear mean field from chirally symmetric effective theory

The mean-field theory of the nuclear many-body problem proposed recently by Furnstahl, Serot, and Tang (FST) is discussed. The FST chiral Lagrangian is derived in terms of an effective field theory. This new approach allows one to construct in a controlled manner the universal nuclear Lagrangian consistent with symmetries of QCD. The FST Lagrangian is constructed by using power counting, i.e., the expansion in powers of the lowest lying hadronic fields and their derivatives. Terms in the Lagrangian are organized by applying Georgi’s naive dimensional analysis and “naturalness” condition. The relevant degrees of freedom are nucleons, pions, an isoscalar-vector field ω meson), an isoscalar-scalar field (σ meson), and an isovector-vector field (ρ meson). The chiral symmetry is realized nonlinearly using a standard WCCWZ procedure.     

The electromagnetic effects in <Emphasis Type="Italic">K</Emphasis><Subscript><Emphasis Type="Italic">e</Emphasis>4</Subscript> decay

The final-state interaction of pions in K _e4 decay allows to obtain the value of the isospin and angular-momentum-zero ππ scattering length a ₀ ⁰ .We take into account the electromagnetic interaction of pions and isospin-symmetry-breaking effects caused by different masses of neutral and charged pions and estimate the impact of these effects on the procedure of scattering-length extraction from K _e4 decays.     

Mixing of <Emphasis Type="Italic">K</Emphasis><Superscript>0</Superscript> and <Emphasis Type="Italic">B</Emphasis><Superscript>0</Superscript> neutral mesons within the minimum supersymmetry model

Mixing of K ⁰ and B ⁰ mesons is studied in the scope of the minimum supersymmetry model (MSSM) with a type II Yukawa sector and explicit violation of CP invariance in the Higgs potential. The mixing parameters Δm _LS and ? are calculated in the limit of the low-energy four-fermion approximation with a charged Higgs boson exchange. It is shown that supersymmetric effects are very small for K ⁰ mesons and may be quite significant for B _s ⁰ and B _d ⁰ mesons, which imposes constraints on the MSSM parameter space.     

Meson Effect in the Proto Neutron Star PSR J0348+0432

The effect of mesons f ₀(975) (named as f), ?(1020) (named as ?) and δ on the moment of inertia of the PNS PSR J0348+0432 is examined in the framework of the relativistic mean field theory considering the baryon octet. It is found that the energy density ε and pressure p will increase considering the mesons δ whereas will decrease as the mesons f and ? being considered. When the mesons f,? and δ are considered, the energy density and pressure will all decrease. It is also found that the contribution of mesons f, ? and δ to the central energy density is only the central energy density’s 0.06 ～0.6% whereas the contribution of mesons f, ? and δ to the central pressure is the central pressure’s 4 ～7%. For the radius, it will decrease when the contributions of mesons f, ? and δ are considered. The moment of inertia I will increase considering the mesons δ whereas will decrease as the mesons f and ? being considered. When the mesons f, ? and δ are all considered, the moment of inertia will decrease. It is found that the contribution of mesons f and ? to moment of inertia is 4 ～9 times larger than that of mesons δ. Our results show that the mesons f, ? and δ contribute to the moment of inertia’s 2 ～5%.     

Effects of Final State Interactions in Pure Annihilation Decay of B+ → D+K0*

The decay of the B ⁺ meson to the D ⁺ and K ⁰* mesons is a pure annihilation decay. For this reason, in the framework of the quantum chromodynamics factorization (QCDF) approach, this decay has a small amplitude and a small branching ratio. In this research we find that, before the D ⁺ and K ⁰* mesons are produced in the final states, pair mesons such as D _s ⁺* and D _s ⁺ρ⁰ are produced. The intermediate-state mesons via the exchange of K ⁰(K ⁰*) and D ⁺(D ⁺*) go to the D ⁺ and K ⁰* final state mesons. However we calculate the B ₊ → D ⁺ K ⁰* decay in two different frameworks. The first framework is the QCDF method and the second one is final state interaction (FSI). The experimental branching ratio of B ₊ → D ₊ K ⁰* decay is less than 3 × 10^–6, and our results obtained by the QCDF method and FSI are (0.35 ± 0.04) × 10^–6 and (2.94 ± 0.10) × 10^–6, respectively.     

Photoproduction of pions in forward direction and Regge poles

Photoproductions of single pions for high energies and small momentum transfer is considered. The production amplitude is approximated by exchange ofρ-,ω-,?- andπ-meson in the crossed chanellγ+π→N+¯N. These mesons are treated either as “elementary” or as Regge poles. The angular distribution is caclulated in the high energy limit and discussed in detail.     

Elliptic flow of ν ands <Emphasis Type="Italic">π</Emphasis><Superscript>0</Superscript> mesons in heavy-ion collisions at 2 <Emphasis Type="Italic">A</Emphasis> GeVmesons in heavy-ion collisions at 2 <Emphasis Type="Italic">A</Emphasis> GeV

Elliptic flow of ν and π ⁰ mesons emitted at midrapidity are studied in collisions of 1.9 A GeV ⁵⁸Ni+⁵⁸Ni and 2 A GeV ⁴⁰Ca+^natCa. The observed anisotropy corresponds to a negative elliptic flow signal for ν mesons, indicating a preferred emission perpendicular to the reaction plane. In contrast, only small azimuthal anisotropies are observed for π ⁰ mesons. This may indicate that ν mesons freeze out earlier from the central interaction region than pions.     

Charged <Emphasis Type="Italic">ρ</Emphasis>-meson production in neutrino-induced reactions at &lt;<Emphasis Type="Italic">E</Emphasis><Subscript><Emphasis Type="Italic">ν</Emphasis></Subscript>&gt;≈ 10 GeV

The production of charged ρ mesons on nuclei and nucleons is investigated in charged current neutrino interactions at moderate energies (〈E _〉 ≈ 10 GeV), using the data obtained with SKAT bubble chamber. No strong nuclear effects are observed in ρ ⁺ and ρ ^? production. The fractions of charged and neutral pions originating from ρ decays are obtained and compared with higher-energy data. From analysis of the obtained and available data on ρ ⁺ and K*⁺(892) neutrino production, the strangeness suppression factor is extracted: λ _s = 0.18 ± 0.03. Estimation is obtained for cross section of coherent ρ ⁺ neutrino production on nuclei.     

QCD with Chiral Chemical Vector: Models Versus Lattices

A formation of Local Parity Breaking (LPB) in central heavy-ion collisions (HIC) at high energies is discussed. LPB in the fireball can be produced by a difference between the number densities of right- and left-handed chiral fermions (Chiral Imbalance) which is implemented by a chiral (axial) chemical potential. Based on the effective meson Lagrangian motivated by QCD in the chiral medium the properties of light scalar and pseudoscalar mesons (π, a₀) are analyzed. It is found that exotic decays of scalar mesons arise as a result of mixing of π and a₀ vacuum states in the presence of chiral imbalance. The pion electromagnetic formfactor obtains a parity-odd supplement which generates a photon polarization asymmetry in pion polarizability. We believe that the above-mentioned properties of LPB can be revealed in experiments on LHC, RHIC, CBM FAIR and NICA accelerators.     

Transition form factors and light-cone distribution amplitudes of pseudoscalar mesons in the chiral quark model

It is shown that a chiral quark model of the Nambu-Jona-Lasinio type can be used to describe “soft”-momentum parts of the amplitudes with large momentum transfer. As a sample, the processes γ* → γ(π, η, η′), where one of the photons, γ*, has large spacelike virtuality, are investigated. The γ* → γ(π, η, η′) transition form factors are calculated for a wide region of the momentum transfer. The results are consistent with the calculations performed in the instanton-induced chiral quark model and agree with experimental data. The distribution amplitudes of pseudoscalar mesons are derived.     

Study of π<Superscript>0</Superscript>/γ efficiency using B meson decays in the LHCb experiment

The reconstruction efficiency of photons and neutral pions is measured using the relative yields of reconstructed B ⁺ → J/ψK ^*+(→ K ⁺π⁰) and B ⁺ → J/ψK ⁺ decays. The efficiency is studied using the data set, corresponding to an integrated luminosity of 3 fb^–1, collected by the LHCb experiment in proton-proton collisions at the centre-of-mass energies of 7 and 8 TeV.     

Study of π<Superscript>0</Superscript>/γ reconstruction and selection efficiency in the LHCb experiment

The reconstruction efficiency of photons and neutral pions is measured using the relative yields of reconstructed B ⁺ → J/ψK*⁺(→K ⁺π⁰) and B ⁺ → J/ψK ⁺ decays. The efficiency is studied using the data set, corresponding to an integrated luminosity of 3 fb^–1, collected by the LHCb experiment in proton-proton collisions at the centre-of-mass energies of 7 and 8 TeV.     

A potential including the Heaviside function in the 1 + 1 dimensional hydrodynamics by Landau

In the 1 + 1 dimensional hydrodynamics originally proposed by Landau, we derive a new potential and distribution function including the Heaviside function and investigate their mathematical and physical properties. Using the original distribution derived by Landau, a distribution function found by Srivastava et al., our distribution function, and the Gaussian distribution proposed by Carruthers et al., we analyze the data of the rapidity distribution on charged pions and K mesons at RHIC energies ( \( \sqrt{{s_{NN}}}\) = 62.4 GeV and 200GeV). Three distributions derived from the hydrodynamics show almost the same chi-squared values provided the CERN MINUIT is used. We know that our calculations of hadron’s distribution do not strongly depend on the range of integration of fluid rapidity, contrary to that of Srivastava et al. Finally, the roles of the Heaviside function in concrete analyses of data are investigated.     

<Emphasis Type="Italic">SU</Emphasis>(2)×<Emphasis Type="Italic">SU</Emphasis>(2) chiral quark model with nonlocal interaction

Masses and interactions of light mesons are described in the framework of the model with the chiral invariant SU(2)×SU(2) four-quark interaction. The nonlocal kernel of the interaction is chosen in the form that ensures the absence of ultraviolet divergences in the Feynman diagrams and poles in the quark propagator. Within this model, we demonstrate that, in the chiral limit, the pion mass equals zero and the Goldberger-Treiman relation is fulfilled. The sigma-meson mass and the widths of strong decays σ → ππ, ρ → νν are estimated.     

Investigation of the subthreshold production of <Emphasis Type="Italic">K</Emphasis><Superscript>−</Superscript> mesons in proton-nucleus collisions

The differential cross sections for the proton-induced production of K ^? mesons on Be, Al, and Cu nuclei in the subthreshold energy region have been measured. Folding-model calculation including three channels of their production satisfactorily reproduces the experimental data. It has been shown that the main contribution to the production of hard K ^? mesons comes from the nonresonant direct process. Evidence for the existence of an attractive optical potential with a magnitude of about 140 MeV for K ^? at normal nuclear density has been obtained.     

Scaling of semi-inclusive events in <Emphasis Type="Italic">pp</Emphasis> interactions

The normalized single-particle semi-inclusive double-differential spectrum of π^t- mesons from pp interactions at 6.6–400 GeV/c and the relative concentration of π⁰ and K _S ⁰ mesons in such events of fixed multiplicity of π^? mesons are completely determined by specifying any feature of this spectrum—for example, 〈y²〉 _n or 〈E〉 _n . Therefore, a two-parameter sample of semi-inclusive events that depends on the energy and the multiplicity reduces to a one-parameter sample.     

Decays τ → (η, η')<Emphasis Type="Italic">K</Emphasis>–ν<Subscript>τ</Subscript> in the extended Nambu–Jona-Lasinio model

The decays τ → (η, η')K–ν_τ are described in the framework of the extended Nambu–Jona-Lasinio model. Both full and differential widths of these decays are calculated. The vector and scalar channels are considered. In the vector channel, the subprocesses with the intermediate K*(892) and K*(1410) mesons play the main role. In the scalar channel, the subprocesses with the intermediate and K₀^*(800) and K₀^*(1430) mesons are taken into account. The scalar channel gives an insignificant contribution to the full width of the decay τ → ηK–ν_τ. The obtained results are in satisfactory agreement with the experimental data. The prediction for the width of the process τ → η′K–ν_τ is made.     

Photoproduction of <Emphasis Type="Italic">J/ψ</Emphasis> mesons at high energies within the parton model and in the <Emphasis Type="Italic">k</Emphasis><Subscript>T</Subscript>-factorization approach

The photoproduction of J/ψ mesons is considered on the basis of the parton model and in the k_T-factorization approach in the leading order in α _s . It is shown that, at specific values of the charmed-quark mass and the J/ψ-meson wave function at the origin, the predictions of the two approaches for the total cross section and z spectra of J/ψ mesons nearly coincide and agree with experimental data obtained at the HERA ep collider. At the same time, the parton model and the theory of semihard processes predict significantly different p_T spectra of J/ψ mesons and significantly different transverse-momentum dependences of the ratio of the cross sections for the production of longitudinally and transversely polarized J/ψ mesons. It is expected that nontrivial effects of low-x physics will clearly manifest themselves in experimentally testing this fact.