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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/s12522-016-0234-z

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1827-6121

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Bound states shadow states and mandelstam represe

Authors: T Regge
Publish Date: 2007/10/28
Volume: 18, Issue: 5, Pages: 947-956
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Abstract

In a previous paper a technique involving complex angular momenta was used in order to prove the Mandelstam representation for potential scattering One of the results was that the number of subtractions in the transmitted momentum depends critically on the location of the poles shadow states of the scattering matrix as a function of the complex orbital momentum In this paper the study of the position of the shadow states is carried out in much greater detail We give also related inequalities concerning bound states and resonances The physical interpretation of the shadow states is then discussedIn questo lavoro si estendono i risultati di una nota precedente dell’autore in cui si è fatto uso di momenti angolari complessi In particolare vengono derivate ineguaglianze concernenti il numero di sottrazioni nelle regole di dispersione alla Mandelstam per vari tipi di potenziale tra cui il potenziale di Yukawa

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Other Papers In This Journal:
  1. Effects of phonon pulses on the energy gap in a superconductor
  2. The renormalization of Dirac-Maxwell equations
  3. Remarks on the generators of the SU 3 group
  4. On l -forbidden M 1 transitions
  5. Determination of the ultrasonic absorption coefficient in liquids by the thermal method
  6. On a quadrilinear K 2 -π 2 coupling
  7. Large-angle cross-sections p+p→A+B and π+p→A+B at high energies predicted by the statistical model
  8. The equilibrium phase transition in liquid helium
  9. The range in G5 nuclear emulsion of protons with energies 87, 118 and 146 MeV
  10. The grain-density of emulsion tracks
  11. Muon capture in certain light nuclei
  12. A novel approach to elementary scattering theory
  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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