Search results for "scattering [hadron]"
showing 10 items of 232 documents
Chiral dynamics of thepwave inK−pand coupled states
2002
We perform an evaluation of the p-wave amplitudes of meson-baryon scattering in the strangeness $S=\ensuremath{-}1$ sector starting from the lowest order chiral Lagrangians and introducing explicitly the ${\ensuremath{\Sigma}}^{*}$ field with couplings to the meson-baryon states obtained using SU(6) symmetry. The $N/D$ method of unitarization is used, equivalent, in practice, to the use of the Bethe-Salpeter equation with a cutoff. The procedure leaves no freedom for the p-waves once the s-waves are fixed and thus one obtains genuine predictions for the p-wave scattering amplitudes, which are in good agreement with experimental results for differential cross sections, as well as for the wid…
The threshold behaviour of partial wave scattering amplitudes and theN/D-method
1964
It is shown that in partial wave dispersion relations the weight function on the unphysical cut must have a certain number of zeros in order to permit the correct threshold behaviour of the amplitude. Assuming a solution — not necessarily with correct threshold behaviour — of the once-subtractedN/D-equations to exist, the role of the subtraction parameters in repeatedly subtractedN/D equations is studied with particular reference to the threshold behaviour.
EXTRACTION OF THE Λ(1405) POLES FROM π0Σ0 PHOTOPRODUCTION DATA
2014
In this contribution we review a work where we showed how to extract the position of the two Λ(1405) poles from experimental photoproduction data which have been measured recently in the γp → K+π0Σ0 reaction at Jefferson Lab. Using a potential motivated by chiral dynamics but with free parameters, we solve the Bethe Salpeter equation in the coupled channels [Formula: see text] and πΣ in isospin I=0 and parameterize the amplitude for the photonuclear reaction in terms of a linear combination of the πΣ → πΣ and [Formula: see text] scattering amplitudes in I=0, with a different linear combination for each energy. Good fits to the data are obtained which lead to two poles at 1385 - 68i MeV and…
ππ and Kπ scattering amplitudes from lattice QCD
2020
σ→γγWidth from Nucleon Electromagnetic Polarizabilities
2008
The lightest QCD resonance, the $\ensuremath{\sigma}$, has been recently fixed in the $\ensuremath{\pi}\ensuremath{\pi}$ scattering amplitude. The nature of this state remains nowadays one of the most intriguing and difficult issues in particle physics. Its coupling to photons is crucial for discriminating its structure. We propose a new method that fixes this coupling using only available precise experimental data on the proton electromagnetic polarizabilities together with analyticity and unitarity. By taking into account the uncertainties in the analysis and in the parameter values, our result is ${\ensuremath{\Gamma}}_{\mathrm{pole}}(\ensuremath{\sigma}\ensuremath{\rightarrow}\ensuremat…
Measurements of Absolute Cross Sections for (e,H2) Collision Processes. Formation and Decay ofH2−Resonances
1970
Energy and angular dependences of the elastic and inelastic scattering of electrons from ${\mathrm{H}}_{2}$ have been measured in the energy range 10 to 16 eV and for scattering angles ranging from 10\ifmmode^\circ\else\textdegree\fi{} to 120\ifmmode^\circ\else\textdegree\fi{}. Three resonance series have been investigated starting at 11.30, 11.50, and 13.63 eV, respectively. The last two series decay preferentially into one single electronic channel, while the first resonance (resonance I) decays into all energetically possible exit channels, i.e., $X^{1}\ensuremath{\Sigma}_{g}^{+}$, $b^{3}\ensuremath{\Sigma}_{u}^{+}$, $B^{1}\ensuremath{\Sigma}_{u}^{+}$. Throughout, stress is laid on the i…
Relativistic scattering theory of charged spinless particles
1986
In the context of a relativistic quantum mechanics we discuss the scattering of two and three charged spinless particles. The corresponding transition operators are shown to satisfy four-dimensional Lippmann-Schwinger and eight-dimensional Faddeev-type equations, respectively. A simplified model of two particles with Coulomb interaction can be solved exactly. We calculate: (i) The partial waveS-matrix from which we extract the bound state spectrum. The latter agrees with a fourth-order result of Schwinger, (ii) The full scattering amplitude which in the weakfield limit coincides with the expression derived by Fried et al. from eikonalized QED.
Scattering amplitudes for two charged fragments
2008
The Standard Model
2002
Publisher Summary The weak interactions of the elementary particles are discovered in β-decay processes. They are described by an effective Lagrangian of current × current type in which the weak currents are coherent superpositions of charged vector and axial-vector currents, accounting for the violation of parity. The Fermi theory of the weak interactions can only be interpreted as an effective low-energy theory that cannot be extended to arbitrarily high energies. Applying this theory to the scattering process at high energies, the scattering amplitude rises indefinitely with the square of the energy. The structure of the electroweak system that has emerged from the requirement of asympto…
Direct observation of the quasiparticle relaxation in YBa2Cu3O7
1999
Abstract The real and imaginary parts of the optical conductivity ( σ 1 + iσ 2 ) in the superconducting state of YBa 2 Cu 3 O 7−δ thin films have been obtained by submillimeter spectroscopy for frequencies from 3 to 35 cm −1 . The quasiparticle relaxation can be directly observed in this frequency range. A Drude-type analysis allows to extract the temperature dependence of the scattering rate. The collapse of the relaxation rates provides clear experimental evidence that the spin fluctuations become gapped below T C .