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Instanton-induced soft-pion wave function and hard-pion form factor

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Il Nuovo Cimento A (1965-1970)

Summary

An instanton-induced pion wave function is constructed. It provides an intrinsick -dependence which suppresses soft virtual one-gluon exchanges and thus legitimates the perturbative QCD (pQCD) calculations of the pion electromagnetic form factor in the region of momentum transfers above the scaleQ c>(√3/(2√f))(1/ϱc)∼1 GeV, wheref=(2n c)(π2π 4c /2) is a packing fraction parameter, ϱc is an effective instanton size andn c is an effective density of instantons in the instanton vacuum of QCD.

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References

  1. Isgur N. andLlewellyn-Smith C. H.,Nucl. Phys. B,317 (1989) 526;Phys. Rev. Lett.,52 (1984) 1080.

    Article  ADS  Google Scholar 

  2. Radyushkin A. V.,Nucl. Phys. A,532 (1991) 141;Acta Phys. Polon. B,15 (1984) 403;Bakulev A. P. andRadyushkin A. V.,Phys. Lett. B,271 (1991) 223.

    Article  ADS  Google Scholar 

  3. Chernyak V. L. andZhitnisky A. R.,Phys. Rep.,112 (1984) 173;Nucl. Phys. B,246 (1984) 526.

    Article  ADS  Google Scholar 

  4. Gary M. andStefanis N. G.,Phys. Lett. B,175 (1986) 462.

    Article  ADS  Google Scholar 

  5. King I. D. andSachrajda C. T.,Nucl. Phys. B,279 (1987) 785.

    Article  ADS  Google Scholar 

  6. Mikhailov S. V. andRadyushkin A. V.,Yad. Fiz.,49 (1989) 494;Phys. Rev. D,45 (1992) 1754.

    Google Scholar 

  7. Li H.-N. andSterman G.,Nucl. Phys. B,381 (1992) 129.

    Article  ADS  Google Scholar 

  8. Sudakov V. V.,Sov. Phys. JETP,3 (1956) 65.

    MathSciNet  MATH  Google Scholar 

  9. Botts J. andSterman G.,Nucl. Phys. B,325 (1989) 62.

    Article  ADS  Google Scholar 

  10. Jakob R. andKroll P.,Phys. Lett. B,315 (1993) 463.

    Article  ADS  Google Scholar 

  11. Terentiev M. V.,Sov. J. Nucl. Phys.,24 (1976) 207.

    Google Scholar 

  12. Bagdasaryan A. S., Esaibegyan S. V. andTer-Isaakyan N. L.,Sov. J. Nucl. Phys.,38 (1983) 402.

    Google Scholar 

  13. Hutter M., München University preprint, LMU 95-03 (Feb., 1995).

  14. Dorokhov A. E. andKochelev N. I.,Phys. Part. Nucl.,26 (1995) 5;Phys. Lett. B,259 (1991) 335;304 (1993) 167.

    Google Scholar 

  15. ’t Hooft G.,Phys. Rev. D,14 (1976) 3432;Phys. Rep.,142 (1986) 357.

    Article  ADS  Google Scholar 

  16. Shifman M. A., Vainstein A. I. andZakharov V. I.,Nucl. Phys. B,163 (1980) 45.

    Article  ADS  Google Scholar 

  17. Shuryak E. V.,Phys. Rep.,115 (1984) 151.

    Article  ADS  Google Scholar 

  18. Dyakonov D. I. andPetrov V. Yu.,Nucl. Phys. B,272 (1986) 457.

    Article  ADS  Google Scholar 

  19. Anisovich V. V. et al., Nucl. Phys. A,563 (1993) 549.

    Article  ADS  Google Scholar 

  20. Lepage G. P., Brodsky S. J., Huang T. andMackenzy P. B.,Banff Summer Institute, Particles and Fields,2 (1983) 83.

    Google Scholar 

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Dorokhov, A.E. Instanton-induced soft-pion wave function and hard-pion form factor. Nuov Cim A 109, 391–405 (1996). https://doi.org/10.1007/BF02731088

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  • DOI: https://doi.org/10.1007/BF02731088

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