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Title of Journal: Nuovo Cim

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Abbravation: Il Nuovo Cimento (1955-1965)

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Società Italiana di Fisica

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DOI

10.1007/s10625-005-0243-x

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ISSN

1827-6121

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Unitarity of theEmphasis Type="Italic"S/Emphasi

Authors: R Ascoli A Bottino A Molinari
Publish Date: 1961/02/01
Volume: 19, Issue: 4, Pages: 687-695
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Abstract

Here we have solved the problem of finding which analyticity properties of the production amplitudes are required to deduce by means of theSmatrix unitarity relations analyticity properties of scattering amplitudes as functions of the momentum transfer The fundamental feature of the results is that analyticity properties of the production amplitudes are required as functions of two and only two dynamical variables whichever be the number of produced particles The general method given here does not require the actual calculation of any integral In particular we give for the production amplitudes a condition sufficient for the analyticity within an ellipse of the imaginary part of the scattering amplitude as function of the momentum transferIn questo lavoro è risolto il problema di trovare quali proprietà analitiche delle ampiezze di produzione si richiedono per dedurre attraverso le relazioni di unitarietà della matriceS proprietà analitiche delle ampiezze di scattering in funzione dell’impulso trasferito L’aspetto fondamentale dei risultati ottenuti in questo lavoro è che per lo studio delle ampiezze di scattering si richiedono per le ampiezze di produzione proprietà di analiticità rispetto a due e due sole variabili dinamiche qualunque sia il numero di particelle prodotte Il metodo generale qui presentato non richiede il calcolo esplicito di alcun integrale In particolare viene data per le ampiezze di produzione una condizione sufficiente per l’analiticità entro un’ellisse della parte immaginaria dell’ampiezza di scattering come funzione del momento trasferito

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Other Papers In This Journal:
  1. Bound states, shadow states and mandelstam representation
  2. Effects of phonon pulses on the energy gap in a superconductor
  3. The renormalization of Dirac-Maxwell equations
  4. Remarks on the generators of the SU 3 group
  5. On l -forbidden M 1 transitions
  6. Determination of the ultrasonic absorption coefficient in liquids by the thermal method
  7. On a quadrilinear K 2 -π 2 coupling
  8. Large-angle cross-sections p+p→A+B and π+p→A+B at high energies predicted by the statistical model
  9. The equilibrium phase transition in liquid helium
  10. The range in G5 nuclear emulsion of protons with energies 87, 118 and 146 MeV
  11. The grain-density of emulsion tracks
  12. Muon capture in certain light nuclei
  13. A novel approach to elementary scattering theory
  14. Compound-nucleus radiative capture cross-section in the mev energy-range and nuclear-level density
  15. Sur le calcul des constantes vibrationnelles de l’oxyde azoteux
  16. Polarization effects in bremsstrahlung
  17. A renormalized, ghost-free lee model
  18. Investigation of the possibility of a π-λ resonance in the case of different parities of λ and ɛ
  19. The high-energy muon flux at sea level obtained from an observation of the burst-size spectrum
  20. $$\bar K - \mathcal{N}$$ scattering in the mandelstam representationscattering in the mandelstam representation
  21. 232 Th and 238 U fission induced by low-energy monochromatic γ-rays
  22. Representations of the Poincaré group associated to complex energy-momentum
  23. Representations of the Poincaré group associated to complex energy-momentum
  24. On the measurements of ionization in nuclear plates
  25. On the energy and pulse spectra of a fast ionization chamber
  26. The scattering of photons by photons
  27. On a new approach to alpha-decay and its application to the angular correlation of the decay $${}^{233}U\mathop \to \limits_\alpha {}^{229}Th\mathop \to \limits_\gamma {}^{229}Th$$
  28. Measurements on the cosmic radiation intensity in the mont blanc tunnel
  29. Energy-momentum transfers in high-energy nuclear collisions
  30. Multiple small angle scattering of waves by an inhomogeneous medium
  31. Effacement des alpha dans les plaques ilford C 2
  32. K meson exposures in water-soaked emulsions
  33. Mass-spectroscopic atomic mass differences
  34. Spin-orbit potential in pseudoscalar theory
  35. Remarks on triplet models in SU 3 symmetry
  36. The behavior of finite particles in conformal-covariant weak field theory
  37. Pion-hyperon scattering
  38. Cloud chamber study of cosmic ray electronic showers under dense materials (II)
  39. A formalism for parity-nonconserving reactions. — I
  40. A correlation between the emission of white light and cosmic radiation by a solar flare
  41. Complex angular momentum and energy in three-particle amplitudes
  42. Large spin propagators and their ambiguity
  43. Search for the photoproduction of the η 0 -Meson
  44. Macroscopic motion of classical spinning particles
  45. Intensity distribution of high energy pions in the atmosphere
  46. On the existence and the unitary property of the scattering operator
  47. Approximation of velocity-dependent potentials by separable kernels
  48. Equivalence among fermion symmetry-multiplets and choice of the symmetry group for strong interactions
  49. Angular distributions of protons emitted in 24 Mg (n, p) and 32 S (n, p) reactions at 14 MeV
  50. Energy determination from the angular distribution of the secondary shower particles
  51. Analisi fotometrica delle tracce nelle emulsioni nucleari I. — Dispositivo sperimentale
  52. The energy dependence of meson multiplicity in the high-energy interactions
  53. On the mechanism of the pinch effect
  54. Matter and anti-matter
  55. Désintégrations des noyaux légers de l’émulsion nucléaire par des mésons π - lents
  56. « Ambiguity » of harmonic-oscillator commutation relations
  57. Investigations of bremsstrahlung of electrons in the energy interval (10 11 ÷ 10 12 ) eV
  58. Lagrangian theory for neutral massive spin-2 fields
  59. Mesure de l’énergie des paires d’électrons de plus de 1 GeV dans les émulsions nucléaires
  60. The high-energy limit of the statistical model
  61. Lorentz transformations of thermodynamic quantities
  62. Effect of nuclear magnetic moment on the bremsstrahlung of electrons
  63. On the trapping of Λ 0 -hyperons following the absorptions at rest of Σ − -hyperons in emulsion nuclei
  64. On the trident cross-section between 1 and 10 GeV
  65. Singular integral equations in quantum field theory
  66. Singular integral equations in quantum field theory
  67. Multiple-pion production by high-energy muons
  68. K + -deuterium inelastic and exchange scattering. — II
  69. A technique for eliminating the variation of mass with velocity in relativistic problems
  70. Requirements of self-consistency in quantum field theories
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