Searcharxiv⌕ Search

arXiv subjects

Michail P. Rekalo

Publications and source records attributed to Michail P. Rekalo.

34 records · Page 2Linked to original sources

The reaction $Δ+N\to N+N+ϕ$ in ion-ion collisions

We study the threshold $ϕ$-meson production in the process $Δ+N\to N+N+ϕ$, which appears as a possible important mechanism in high energy nuclei-nuclei collisions. The isotopic invariance of the strong interaction and the selection rules due to P-parity and total angular momentum result in a general and model independent parametrization of the spin structure of the matrix element in terms of three partial amplitudes. In the framework of one-pion exchange model these amplitudes can be derived in terms of the two threshold partial amplitudes for the process $π+N\to N+ϕ$. We predict the ratio of cross sections for $ϕ-$meson production in $pp$- and $ΔN$-collisions and the polarization properties of the $ϕ$-meson, in $Δ+N\to N+N+ϕ$, as a function of a single parameter, which characterizes the relative role of transversal and longitudinal $ϕ$-meson polarizations in the process $π+N\to N+ϕ$.

nucl-th↗

Threshold $J/ψ-$ production in nucleon-nucleon collisions

We analyze $J/ψ-$ production in nucleon-nucleon collisions near threshold in the framework of a general model independent formalism, which can be applied to any reaction $N+N\to N+N+V^0$, where $V^0=ω$, $ϕ$, or $J/ψ$. Such reactions show large isotopic effects: a large difference for $pp$- and $pn$-collisions, which is due to the different spin structure of the corresponding matrix elements. The analysis of the spin structure and of the polarization observables is based on symmetry properties of the strong interaction. Using existing experimental data on the different decays of $J/ψ-$meson, we suggest a model for $N+N\to N+N+J/ψ$, based on $t-$channel $η+π$-exchanges. We predict polarization phenomena for the $n+p\to n+p+J/ψ$-reaction and the ratio of cross sections for $np$ and $pp$-collisions. For the processes $η(π)+N\to N+J/ψ$ we apply two different approaches: vector meson exchange and local four-particle interaction. In both cases we find larger $J/ψ$-production in $np$-collisions, with respect to $pp$-collisions.

nucl-th↗

Polarization effects in elastic electron-proton scattering

In these notes we present a detailed and complete scheme for the calculation of polarization phenomena in elastic electron-nucleon scattering. The longitudinal and transversal components of the polarization for the scattered nucleon, induced by the scattering of longitudinally polarized electrons and the asymmetries for the collision of polarized electrons with a polarized nucleon target are included. The calculations are done in the framework of the one-photon mechanism, in the Breit system, which is the most convenient for the analysis of polarization effects. We briefly discuss the region of applicability of such model and other mechanisms (radiative and electroweak corrections) which may come into this idealized picture.

nucl-th↗

Recent results on hadron form factors

We discuss the recent data on the electric proton form factor, obtained at JLab, which show a spectacular deviation from the commonly assumed dipole behavior. We discuss the implication of these results on the deuteron structure and on the neutron electric form factor: at relatively large $Q^2$ a revision of the deuteron models may be required, and the neutron electric form factor might become even larger than the proton electric form factor.

nucl-th↗

Polarization phenomena for meson production in nucleon-nucleon collisions

We analyze polarization phenomena for pseudoscalar and vector mesons production in nucleon-nucleon collisions. We identify three energy regions corresponding to different physics and different approaches in the analysis of polarization effects. In the threshold region, characterized by the S-wave production for all final particles, the general symmetry properties of strong interaction can be applied. The region of intermediate energies, T=2-4 GeV, is characterized by the essential role of central i.e. non-peripheral collisions, where only a small number of s-channel states with definite quantum numbers, ${\cal J}^P=1^-$ and $2^+$, contribute. At higher energies, T $\ge $10 GeV, the leading mechanism is the diffractive dissociation and it is especially interesting for baryon spectroscopy. The transition to this region is an open field for experimental research at the Nuclotron.

nucl-th↗

Photoproduction of charmed vector mesons, $γ+N\to {\cal B}_c +\overline{D^*}$, with ${\cal B}_c=Λ_c$ or $Σ_c$

The energy and the angular dependence of the associative vector charmed ${D^*}$-meson photoproduction, $γ+N\to {\cal B}_c+ \overline{D^*}$, with ${\cal B}_c=Λ_c$ or $Σ_c$, has been predicted in framework of pseudoscalar D-meson exchange model. The behavior of the cross section is driven by phenomenological form factors, which can be parametrized in terms of two independent parameters. The predicted values of the cross section are sizeable enough to be measured in the near threshold region.

hep-ph↗

Neutron electric form factor at large momentum transfer

Based on the recent, high precision data for elastic electron scattering from protons and deuterons, at relatively large momentum transfer $Q^2$, we determine the neutron electric form factor up to $Q^2=3.5$ GeV$^2$. The values obtained from the data (in the framework of the nonrelativistic impulse approximation) are larger than commonly assumed and are in good agreement with the Gari-Krümpelmann parametrization of the nucleon electromagnetic form factors.

nucl-th↗

Polarization Phenomena in Hadronic and Nuclear Processes in Threshold Regime

The threshold region for processes of hadronic and nuclear interactions is very interesting for a theoretical as well as an experimental point of view. In this region one can apply different physical methods, starting from classical current algebra methods - for processes invloving soft pions, through effective Lagrangian approaches - or perturbative chiral symmetry theory (ChPT). The essential simplification of the spin structure of matrix elements for threshold regime results in better understanding of the underlying mechanisms and allows the analysis of polarization phenomena. A dedicated formalism is developed here for a wide class of processes including even such complicated processes as production of pseudoscalar and vector mesons in nucleon-nucleon collisions. Many interesting physical problems are discussed: hidden strangeness of nucleons and OZI-violation, $ηN$ -and $ωN$ interactions in S-state, the determination of P-parity of strange particles. Special attention is devoted to the analysis of the spin structure and polarization phenomena for nuclear processes with light nuclei which have important applications in fundamental astrophysics and in nuclear fusion.

nucl-th↗

Nuclear processes in magnetic fusion reactors with polarized fuel

We consider the processes $d +d \to n +{^3He}$, $d +{^3He} \to p +{^4He}$, $d +{^3H} \to n +{^4He}$, ${^3He} +{^3He}\to p+p +{^4He}$, ${^3H} +{^3He}\to d +{^4He}$, with particular attention for applications in fusion reactors. After a model independent parametrization of the spin structure of the matrix elements for these processes at thermal colliding energies, in terms of partial amplitudes, we study polarization phenomena in the framework of a formalism of helicity amplitudes. The strong angular dependence of the final nuclei and of the polarization observables on the polarizations of the fuel components can be helpful in the design of the reactor shielding, blanket arrangement etc..We analyze also the angular dependence of the neutron polarization for the processes $\vec d +\vec d \to n +{^3He}$ and $\vec d +\vec {^3H} \to n +{^4He}$.

nucl-th↗

Asymptotic Behavior of Nucleon Electromagnetic Form Factors in Space- and Time-Like Regions

We compare the existing data about electromagnetic form factors of the proton in the time-like region of momentum transfer (up to $q^2\simeq$ 14 (GeV/c)$^2$), with the corresponding data in the space-like region. From the constrains given by the Phragmèn-Lindelöf theorem, it turns out that the asymptotic regime can not be reached simultaneously for both form factors (electric and magnetic) in the considered region of momentum transfer. The angular dependence for the annihilation processes, such as $\bar{p}+p\leftrightarrow e^++e^-$, is sensitive to the asymptotic properties of form factors and to the two-photon physics in the time-like region.

nucl-th↗

Neutral weak currents in pion electroproduction on the nucleon

Parity violating asymmetry in inclusive scattering of longitudinally polarized electrons by unpolarized protons with $π^0$ or $π^+$ meson production, is calculated as a function of the momentum transfer squared $Q^2$ and the total energy $W$ of the $πN$-system. This asymmetry, which is induced by the interference of the one-photon exchange amplitude with the parity-odd part of the $Z^0$-exchange amplitude, is calculated for the $γ^*(Z^*)+p\to N+π$ processes ($γ^*$ is a virtual photon and $Z^*$ a virtual Z-boson) considering the $Δ$-contribution in the $s-$channel, the standard Born contributions and vector meson ($ρ$ and $ω$) exchanges in the $t-$channel. Taking into account the known isotopic properties of the hadron electromagnetic and neutral currents, we show that the P-odd term is the sum of two contributions. The main term is model independent and it can be calculated exactly in terms of fundamental constants. It is found to be linear in $Q^2$. The second term is a relatively small correction which is determined by the isoscalar component of the electromagnetic current. Near threshold and in the $Δ$-region, this isoscalar part is much smaller (in absolute value) than the isovector one: its contribution to the asymmetry depend on the polarization state (longitudinal or transverse) of the virtual photon.

nucl-th↗

Associative photoproduction of charmed particles near threshold

We calculate the cross section and the beam asymmetry for exclusive photoproduction of charmed particles near threshold ($γ+p\to Λ_c^+ +\bar{D^0}$), in the framework of an effective Lagrangian model. We discuss the sensitivity of these observables to the magnetic moment of the $Λ_c$ baryon and of the coupling constant in the $pΛ_c D$ vertex. We show that exclusive measurements allow, in principle, to determine the magnetic moments of charmed baryons.

hep-ph↗

Relevant polarization observables for the study of the Roper resonance with hadronic probes

The purpose of this contribution is to stress the great importance of polarization observables for the study of nucleon resonances, in particular in the case of deuteron and proton probes. Polarization observables play a unique role in signing the reaction mechanism and bring new information in the microscopic description of baryon resonances. We will calculate the relevant polarization observables, for $p+d$- and $p+α$-collisions, in case of inclusive reactions and for some selected exclusive channels.

nucl-th↗

The $η_cγγ^*$ transition form factor in the decay $η_c\to γ\ell^+\ell^-$ and in the crossed channels $γe^-\to η_c e^- $ and $e^+e^-\toη_cγ

The Dalitz distribution and the effective mass spectrum of the lepton pair produced in the decay $η_c\to γ\ell^+ \ell^-$, as well as the differential cross sections for the crossed channels $γe^-\to η_c e^- $ and $e^+ e^-\to η_c γ$, are calculated in terms of the sole electromagnetic transition form factor for the vertex $η_c\toγγ^*$, where $γ^*$ is a virtual photon with a space-like (for $γe^- \to η_c e^- $) or a time-like (for $e^+ e^-\to η_c γ$ and $η_c\toγ\ell^+\ell^-$) four-momentum. Explicit parametrisations of the transition form factor are found in two different approaches, namely in Vector Dominance Model and in a QCD-inspired consideration on the basis of the process $c \bar{c}\to γ\ell^+ \ell^-$, with zero relative three-momentum of the annihilating quarks.

hep-ph↗

Electroproduction of pseudoscalar mesons on the deuteron

A general analysis of polarization phenomena for coherent meson electroproduction on deuterons, $e+ d\to e+ d +P^0$, where $P^0$ is a pseudoscalar $π^0$ or $η$-meson, is presented. The spin structure of the electromagnetic current for $P^0$-production at threshold is parametrized in terms of specific (inelastic) threshold electromagnetic form factors which depend on the momentum transfer squared and the effective mass of the produced hadronic system. We give expressions for the structure functions of the reaction $e+\vec{d}\to e +d+ P^0$ (where the deuteron target is polarized) in terms of these threshold form factors. The spin and isospin structures of the $γ^{*}+d\to d+P^0$ amplitudes (where $γ^*$ is a virtual photon) is established in the framework of the impulse approximation and relationships between meson electroproduction on deuterons and on nucleons are given. The reaction of $π^0$ electroproduction on deuterons is investigated in detail both at threshold and in the region of $Δ$-isobar excitation, using the effective Lagrangian approach for the calculation of the amplitudes of the elementary process $γ^*+N\to N+π$. Special attention is devoted to the analysis of all standard contributions to the exclusive cross section for $d(e,eπ^0)d$, which are functions of the momentum transfer square, $k^2$, of the excitation energy of the produced hadrons and of the pion production angle, in a region of relatively large momentum transfer. The sensitivity of these contributions to different parametrizations of the $γ^*πω$ form factor as well as to the choice of $NN-$potential is discussed.

hep-ph↗