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Pion-nucleon resonances and the angular distribution in pion electroproduction

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Il Nuovo Cimento A (1965-1970)

Summary

Using the helicity formalism, we find the contributions from final states of definite spin and parity, together with the interference terms between different final-state contributions, to the angular distributions of pions electro-produced from protons. For a single resonant final state the azimuthal terms turn out to be particularly simple, and may well serve as a test for the spin of the resonance. We show that the angular distribution may be used to detect the possible presence of ap 1/2 resonant state in the energy region of the second resonance.

Riassunto

Servendosi del formalismo dell'elicità, si trovano i contributi degli stati finali con spin e parità definiti, assieme ai termini di interferenza fra differenti contributi dello stato finale, alle distribuzioni angolari di pioni elettroprodotti da protoni. Risulta che per un singolo stato finale di risonanza i termini azimutali sono particolarmente semplici e possono servire bene per la verifica dello spin della risonanza. Si dimostra che la distribuzione angolare può essere usata per rivelare la possibile presenza di uno stato risonante conp 1/2 nell'intervallo di energia della seconda risonanza.

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References

  1. P. Stein, R. W. McAllister, B. D. McDaniel andW. M. Woodward:Phys. Rev. Lett. 9, 403 (1962).

    Article  ADS  Google Scholar 

  2. R. Wilson andK. Berkelman: private communication.

  3. P. Dennery.Phys. Rev.,124, 2000 (1961).

    Article  ADS  MathSciNet  Google Scholar 

  4. P. Auvil andC. Lovelace:Nuovo Cimento,33, 473 (1964).

    Article  Google Scholar 

  5. L. D. Roper:Phys. Rev. Lett.,12, 340 (1964).

    Article  ADS  Google Scholar 

  6. R. H. Dalitz andR. G. Moorhouse:Phys. Lett.,14, 159 (1965).

    Article  ADS  Google Scholar 

  7. We use the metricg μν=diag. (1, −1, −1, −1).

  8. L. N. Hand:Phys. Rev.,129, 1834 (1963).

    Article  ADS  Google Scholar 

  9. For this Section we are largely indebted to an unpublished preprint byJ. K. Randolph.

  10. The relation of this approach to the usual one involving Clebsch-Gordan coefficients is discussed byM. L. Goldberger andK. M. Watson:Collision Theory (New York, 1964), Sect.9.2. Their discussion is limited to photoproduction but may easily be extended to electroproduction.

  11. M. Jacob andG. C. Wick:Ann. Phys.,7, 404 (1959).

    Article  ADS  MathSciNet  Google Scholar 

  12. Cf.F. Partovi:Ann. Pyhs.,27, 79 (1964).

    Article  ADS  Google Scholar 

  13. P. Salin:Nuovo Cimento,32, 521 (1964).

    Article  Google Scholar 

  14. L. I. Schiff:Phys. Rev.,96, 765 (1954).

    Article  ADS  Google Scholar 

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Traduzione a cura della Redazione.

This work was supported by the U.S. Atomic Energy Commission.

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Jones, H.F. Pion-nucleon resonances and the angular distribution in pion electroproduction. Nuovo Cimento A (1965-1970) 40, 1018–1033 (1965). https://doi.org/10.1007/BF02824662

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  • DOI: https://doi.org/10.1007/BF02824662

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