Skip to main content
SpringerLink
Log in

The Method of Unitary Clothing Transformations in Relativistic Quantum Field Theory: Recent Applications for the Description of Nucleon–Nucleon Scattering and Deuteron Properties

  • Published:
Few-Body Systems Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

The clothing procedure, put forward in quantum field theory by Greenberg and Schweber, is applied for the description of nucleon–nucleon (N–N) scattering below the pion production threshold and deuteron properties. We consider pseudoscalar (π and η), vector (ρ and ω) and scalar (δ and σ) meson fields interacting with N and \({\bar N}\) ones via the Yukawa-type couplings to introduce trial interactions between “bare” particles. The subsequent unitary clothing transformations (UCTs) are found to express the total Hamiltonian through new interaction operators that refer to particles with physical (observable) properties, the so-called clothed particles. The corresponding analytic expressions in momentum space are compared with the separate meson contributions to the one-boson-exchange potentials in the meson theory of nuclear forces. We will also show a worked example where the UCTs method is used in the framework of a gauge-independent field-theoretical treatment of electromagnetic interactions of deuterons (bound systems).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Korchin A.Yu., Mel’nik Yu.P., Shebeko A.V.: Angular distributions and polarization of protons in the d(e, e’p)n reaction. Few Body Syst. 9, 211–232 (1990)

    Article  ADS  Google Scholar 

  2. Mel’nik Yu., Shebeko A.: Calculation of proton polarization in deuteron disintegration with longitudinally polarized electrons. Few Body Syst. 13, 59–74 (1992)

    Article  ADS  Google Scholar 

  3. Kotlyar V.V., Shebeko A.V.: Nucleon–nucleon interaction and meson exchange currents effects in 3 He two-body brakup by polarized photons. Z. Phys. A327, 301–309 (1987)

    ADS  Google Scholar 

  4. Dubovyk I., Shebeko A.: The method of unitary clothing transformations in the theory of nucleon–nucleon scattering. Few Body Syst. 48, 109–142 (2010)

    Article  ADS  Google Scholar 

  5. Shebeko, A., Frolov, P., Dubovyk, I.: Relativistic interactions for meson-nucleon systems in the clothed particle representation. In: Bondarenko, S.G., Burov, V.V., Malakhov, A.I., Plekhanov, E.B. (eds.) Proceedings of the XX Intern. Baldin Seminar on High Energy Physics Problems, vol. I, pp. 75–8 (Dubna, Russia, October 2010) (2011)

  6. Shebeko A.V., Shirokov M.I.: Clothing procedure in relativistic quantum field theory and its applications to description of electromagnetic interactions with nuclei (bound systems). Prog. Part. Nucl. Phys. 44, 75–86 (2000)

    Article  ADS  Google Scholar 

  7. Shebeko A.V., Shirokov M.I.: Unitary transformations in quantum field theory and bound states. Phys. Part. Nucl. 32, 31–95 (2001)

    Google Scholar 

  8. Korda V., Canton L., Shebeko A.: Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation. Ann. Phys. 322, 736–768 (2007)

    Article  ADS  MATH  Google Scholar 

  9. Shebeko A.V., Frolov P.A.: A possible way for constructing generators of the Poincaré group in quantum field theory. Few Body Syst. 52, 125–164 (2012)

    Article  ADS  Google Scholar 

  10. Weinberg S.: Quantum Theory of Fields, vol. I. University Press, Cambridge (1995)

    Book  Google Scholar 

  11. Machleidt R., Holinde K., Elster C.: The Bonn meson exchange model for the nucleon–nucleon interaction. Phys. Rep. 149, 1–89 (1987)

    Article  ADS  Google Scholar 

  12. Machleidt R.: High-precision, charge-dependent Bonn nucleon–nucleon potential. Phys. Rev. C63, 024-1–024-20 (2001)

    Google Scholar 

  13. Schweber S.S.: An Introduction to Relativistic Quantum Field Theory. Row Peterson, New York (1961)

    Google Scholar 

  14. Korchin A.Yu., Shebeko A.V.: The method of Okubo’s effective operators and the relativistic model of nuclear structure. Phys. Atom. Nucl. 51, 1663–1671 (1993)

    ADS  Google Scholar 

  15. Fuda M., Zhang Y.: Light front dynamics of one boson exchange models of the two-nucleon system. Phys. Rev. C51, 23–37 (1995)

    ADS  Google Scholar 

  16. Dubovyk, I., Shebeko, A.: Low-energy parameters of the nucleon–nucleon scattering and deuteron properties. Few Body Syst (2012) (submitted)

  17. Shebeko A.: The method of unitary clothing transformations in quantum field theory: applications in the theory of nuclear forces and reactions. In: Ketov , S. (ed.) Advances in Quantum Field Theory, pp. 3–30. InTech, Rijeka (2012)

    Google Scholar 

  18. Witała H., Golak J., Glöckle W., Kamada H.: Relativistic effects in neutron-deuteron elastic scattering. Phys. Rev. C71, 054–105412 (2005)

    Google Scholar 

  19. Machleidt R.: The meson theory of nuclear forces and nuclear structure. Adv. Nucl. Phys. 19, 189–376 (1989)

    Article  Google Scholar 

  20. Honzawa N., Ishida S.: Electromagnetic static moments of deuteron in the Bethe-Salpeter formalism. Phys. Rev. C45, 47–68 (1992)

    ADS  Google Scholar 

  21. Bondarenko S.G., Burov V.V., Molochkov A.V., Smirnov G.I., Toki H.: Bethe-Salpeter approach with the separable interaction for the deuteron. Prog. Part. Nucl. Phys. 48, 449–535 (2002)

    Article  ADS  Google Scholar 

  22. Glaser V., Jakšić B.: Electromagnetic properties of particles with spin. Nuovo Cim. 5, 1197–1204 (1957)

    Article  MATH  Google Scholar 

  23. Kazes E., Feuchtwang T.E., Cutler P.H., Grotch H.: Gauge invariance and gauge independence of the S-matrix in nonrelativistic quantum mechanics and relativistic quantum field theories. Ann. Phys. 142, 80–94 (1982)

    Article  ADS  Google Scholar 

  24. Kotlyar V.V., Melnik Yu.P., Shebeko A.V.: Polarization phenomena in photo- and electrodisintegration of the lightest nuclei at medium energies. Phys. Part. Nucl. 26, 79–113 (1995)

    Google Scholar 

  25. Levchuk L.G., Shebeko A.V.: On a generalization of Siegert’s theorem. A corrected result. Phys. Atom. Nucl 56, 227–229 (1993)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. NSC Kharkov Institute of Physics and Technology, NAS of Ukraine, Kharkov, Ukraine

    A. Shebeko

Authors
  1. A. Shebeko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Shebeko.

Additional information

Dedicated to Prof. H. Witała on the occasion of his 60th birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shebeko, A. The Method of Unitary Clothing Transformations in Relativistic Quantum Field Theory: Recent Applications for the Description of Nucleon–Nucleon Scattering and Deuteron Properties. Few-Body Syst 54, 2271–2282 (2013). https://doi.org/10.1007/s00601-012-0482-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-012-0482-3

Keywords

Search

Navigation