Skip to main content
Log in

In-Medium Pion Valence Distribution Amplitude

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

Abstract

After a brief review of the quark-based model for nuclear matter, and some pion properties in medium presented in our previous works, we report new results for the pion valence wave function as well as the valence distribution amplitude in medium, which are presented in our recent article. We find that both the in-medium pion valence distribution and the in-medium pion valence wave function, are substantially modified at normal nuclear matter density, due to the reduction in the pion decay constant.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G.E. Brown, M. Rho, Scaling effective Lagrangians in a dense medium. Phys. Rev. Lett. 66, 2720 (1991)

    Article  ADS  Google Scholar 

  2. H. Hatsuda, S.H. Lee, QCD sum rules for vector mesons in the nuclear medium. Phys. Rev. C 46(1), R34 (1992)

    Article  ADS  Google Scholar 

  3. K. Saito, K. Tsushima, A.W. Thomas, Nucleon and hadron structure changes in the nuclear medium and impact on observables. Prog. Part. Nucl. Phys. 58, 1 (2007)

    Article  ADS  Google Scholar 

  4. R.S. Hayano, T. Hatsuda, Hadron properties in the nuclear medium. Rev. Mod. Phys. 82, 2949 (2010)

    Article  ADS  Google Scholar 

  5. W.K. Brooks, S. Strauch, K. Tsushima, Medium modifications of hadron properties and partonic processes. J. Phys. Conf. Ser. 299, 012011 (2011)

    Article  Google Scholar 

  6. J.P.B.C. de Melo, T. Frederico, L. Tomio, A.E. Dorokhov, Quark–anti-quark correlation in the pion. Nucl. Phys. A 623, 456 (1997)

    Article  ADS  Google Scholar 

  7. J.P.C.B. de Melo, H.W.L. Naus, T. Frederico, Pion electromagnetic current in the light cone formalism. Phys. Rev. C 59, 2278 (1999)

    Article  ADS  Google Scholar 

  8. J.P.B.C. de Melo, T. Frederico, E. Pace, G. Salmè, Pair term in the electromagnetic current within the front form dynamics: spin-0 case. Nucl. Phys. A 707, 399 (2002)

    Article  ADS  Google Scholar 

  9. E.O. da Silva, J.P.B.C. de Melo, B. El-Bennich, V.S. Filho, Pion and kaon elastic form factors in a refined light-front model. Phys. Rev. C 86, 038202 (2012)

    Article  ADS  Google Scholar 

  10. G.H.S. Yabusaki, I. Ahmed, M.A. Paracha, J.P.B.C. de Melo, B. Bennichi, Pseudoscalar mesons with symmetric bound state vertex functions on the light front. Phys. Rev. D 92, 034017 (2015)

    Article  ADS  Google Scholar 

  11. J.P.B.C. de Melo, I. Ahmed, K. Tsushima, Parton distribution in pseudoscalar mesons with a light-front constituent quark model. AIP Conf. Proc. 1735, 080012 (2016)

    Article  Google Scholar 

  12. J.P.B.C. de Melo, K. Tsushima, B. El-Bennich, E. Rojas, T. Frederico, Pion structure in the nuclear medium. Phys. Rev. C 90, 035201 (2014)

    Article  ADS  Google Scholar 

  13. J.P.B.C. de Melo, K. Tsushima, T. Frederico, Pion in the medium with a light-front model. AIP Conf. Proc. 1735, 080006 (2016)

    Article  Google Scholar 

  14. J.P.B.C. de Melo, K. Tsushima, I. Ahmed, In-medium pion valence distributions in a light-front model. Phys. Lett. B 676, 125 (2017)

  15. P.A.M. Guichon, A possible quark mechanism for the saturation of nuclear matter. Phys. Lett. B 200, 235 (1988)

    Article  ADS  Google Scholar 

  16. P.A.M. Guichon, K. Saito, E.N. Rodionov, A.W. Thomas, The role of nucleon structure in finite nuclei. Nucl. Phys. A 601, 349 (1996)

    Article  ADS  Google Scholar 

  17. K. Saito, K. Tsushima, A.W. Thomas, Selfconsistent description of finite nuclei based on a relativistic quark model. Nucl. Phys. A 609, 339 (1996)

    Article  ADS  Google Scholar 

  18. K. Saito, K. Tsushima, A.W. Thomas, Variation of hadron masses in finite nuclei. Phys. Rev. C 55, 2637 (1997)

    Article  ADS  Google Scholar 

  19. K. Tushima, K. Saito, J. Haidenbauer, A.W. Thomas, The quark–meson coupling model for lambda, sigma and xi hypernuclei. Nucl. Phys. A 630, 691 (1998)

    Article  ADS  Google Scholar 

  20. P.A.M. Guichon, A.W. Thomas, K. Tsushima, Binding of hypernuclei in the latest quark–meson coupling model. Nucl. Phys. A 814, 66 (2008)

    Article  ADS  Google Scholar 

  21. B.D. Serot, J.D. Walecka, The relativistic nuclear many body problem. Adv. Nucl. Phys. 16, 1 (1986)

    Google Scholar 

  22. R. Kienle, T. Yamazaki, Pions in nuclei, a probe of chiral symmetry restoration. Prog. Part. Nucl. Phys. 52, 85 (2004)

    Article  ADS  Google Scholar 

  23. U.G. Meissner, J.A. Oller, A. Wirzba, In-medium chiral perturbation theory beyond the mean field approximation. Ann. Phys. 297, 27 (2002)

    Article  ADS  Google Scholar 

  24. W. Weise, U. Vogl, The Nambu and Jona Lasinio model: its implications for hadrons and nuclei. Prog. Part. Nucl. Phys. 27, 195 (1991)

    Article  ADS  Google Scholar 

  25. M. Lutz, S. Klimt, W. Weise, Meson properties at finite temperature and baryon density. Nucl. Phys. A 542, 521 (1992)

    Article  ADS  Google Scholar 

  26. M. Kirchbach, A. Wirzba, In-medium chiral perturbation theory and pion weak decay in the presence of background matter. Nucl. Phys. A 616, 648 (1997)

    Article  ADS  Google Scholar 

  27. R. Van Royen, V.F. Weisskopf, Hadron decay processes and the quark model. Nuovo Cim. A 50, 617 (1967). Erratum: [Nuovo Cim. A 51, 583 (1967)]

  28. G.P. Lepage, S.J. Brodsky, T. Huang, P.B. Mackenzie, hadronic wave functions in QCD. CLNS-82-522, FERMILAB-CONF-81-114-T

  29. S.J. Brodsky, G.P. Lepage, Exclusive processes in quantum chromodynamics. Adv. Ser. Direct. High Energy Phys. 5, 93 (1989)

    Article  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Tsushima.

Additional information

This article belongs to the Topical Collection “Light Cone 2016”.

This work was partly supported by the Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) of Brazil.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tsushima, K., de Melo, J.P.B.C. In-Medium Pion Valence Distribution Amplitude. Few-Body Syst 58, 85 (2017). https://doi.org/10.1007/s00601-017-1249-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00601-017-1249-7

Navigation