Il Nuovo Cimento A (1965-1970)

, Volume 45, Issue 2, pp 487–492 | Cite as

Solvable example of Regge poles at zero energy

  • H. Cheng
Article
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Summary

We obtain in close form the solution of the radial Schrödinger equation at zero energy and its Regge poles, for the potentialV0 r b−2/(1+rb)2, which is a superposition of Yukawa potentials. The asymptotic formS(λ, s)→exp[2iλπ] as |λ|→∞ in the left-hand plane is confirmed in this case, with an exception pointed out.

Keywords

Regge Pole Meromorphie Function Half Plane Asymptotic Form Double Pole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Riassunto

Si ottiene in forma chiusa la soluzione dell'equazione di Schrödinger radiale ad energia nulla ed i suoi poli di Regge, per il potenzialeV0rb−2/(1+rb)2), che è una sovrapposizione di potenziali di Yukawa. Si conferma in questo caso, la forma asintoticaS(λ, s)→exp[2iλπ] per |λ|→∞ nel piano di sinistra, a meno di un'eccezione, che si mette in evidenza.

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References

  1. (1).
    H. Cheng andT. T. Wu:Phys. Rev.,144, 1232 (1966).ADSMathSciNetCrossRefGoogle Scholar
  2. (2).
    B. P. Desai andR. G. Newton:Phys. Rev.,130, 2109 (1963);H. Cheng andM. Gell-Mann: unpublished.ADSMathSciNetCrossRefGoogle Scholar
  3. (3).
    A. Bottino, A. M. Longoni andT. Regge:Nuovo Cimento,23, 954 (1962).CrossRefGoogle Scholar
  4. (4).
    V. N. Gribov andI. Ya. Pomeranchuk: 0252 0107 V 3Phys. Rev. Lett.,9, 238 (1962).ADSMathSciNetCrossRefGoogle Scholar
  5. (5).
    C. Eckart:Phys. Rev.,35, 1303 (1930).ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1966

Authors and Affiliations

  • H. Cheng
    • 1
  1. 1.Mathematics DepartmentM.I.T.Cambridge

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