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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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1827-6121

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A novel approach to elementary scattering theory

Authors: F Calogero
Publish Date: 2008/02/08
Volume: 27, Issue: 1, Pages: 261-302
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Abstract

An aproach to potential scattering is discussed which is simple elegant and very convenient for numerical computations The problem of evaluating scattering phaseshifts and boundstate energies is discussed The effect of the potential on the wave function is also analysed Approximating formulas are given A powerful representation for the tangent of the phase shift valid if the potential never changes sign and the phase shift is smaller in magnitude than π/2 is obtained Bounds on the phase shifts and on their derivatives with respect to linear and angular momentum are establishedSi discute una formulazione della teoria della diffusione da potenziale che è semplice elegante e molto vantaggiosa per calcoli numerici Si discute il problema del calcolo degli sfasamenti e delle energie degli stati legati Si analizza inoltre leffetto del potenziale sulla funzione donda Si danno formule approssimanti gli sfasamenti Si ottiene una notevole espressione per la tangente dello sfasamento valida per potenziali che non cambino segno e per sfasamenti minori in modulo di π/2 Si derivano limiti superiori e inferiori per gli sfasamenti e le loro derivate rispetto allimpulso e al momento angolare

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