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Isospin breaking in nuclear physics: The Nolen-Schiffer effect

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Zeitschrift für Physik A Hadrons and Nuclei

Abstract

Using the QCD sum rules we calculate the neutron-proton mass difference at zero density as a function of the difference in bare quark massm d—m u. We confirm results of Hatsuda, Høgaasen and Prakash that the largest term results from the difference in up and down quark condensates, the explicitC(m d—m u) entering with the opposite sign. The quark condensates are then extended to finite density to estimate the Nolen-Schiffer effect. The neutron-proton mass difference is extremely density dependent, going to zero at roughly nuclear matter density.

The Ioffe formula for the nucleon mass is interpreted as a derivation, within the QCD sum rule approach, of the Nambu-Jona-Lasinio formula. This clarifies theN c counting and furthermore provides an alternative interpretation of the Borel mass.

We compare calculations in the constituent quark model treated in the Nambu-Jona-Lasinio formalism with ours in the QCD sum rule approach.

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References

  1. Nolen, J.A., Schiffer, J.P.: Annu. Rev. Nucl. Sci.,19, 471 (1969)

    Google Scholar 

  2. Henley, E.M., Krein, G.: Phys. Rev. Lett.62, 2586 (1989)

    Google Scholar 

  3. Hatsuda, T., Høgaasen, H., Prakash, M.: Phys. Rev. C42, 2212 (1990); Phys. Rev. Lett.66, 2851 (1991); Stony Brook Preprint (1990). Phys. Rev. Lett, (submitted for publication)

    Google Scholar 

  4. Ioffe, B.L.: Nucl. Phys. B188, 317 (1981)

    Google Scholar 

  5. Belyaev, V.M., Ioffe, B.L.: Sov. Phys. JETP57, 716 (1983)

    Google Scholar 

  6. Reinders, L.J., Rubinstein, H., Yazaki, S.: Phys. Rep.127, 1 (1985)

    Google Scholar 

  7. Brown, G.E.: In: Proc. arima 60th birthday meeting, Santa Fe N.M., 1–5 May 1990. Nucl. Phys. A522, 397c (1991)

    Google Scholar 

  8. Hatsuda, T., Kunihiro, T.: Prog. Theor. Phys. Suppl.91, 284 (1987); Phys. Rev. Lett.55, 158 (1985)

    Google Scholar 

  9. Bernard, V., Meissner, U.-G., Zahed, I.: Phys. Rev. Lett.59, 966 (1987)

    Google Scholar 

  10. Buck, B., Perez, S.M.: Phys. Rev. Lett.50, 1975 (1983)

    Google Scholar 

  11. Riska, D.O., Schlomo, S.: Nucl. Phys. A259, 281 (1975)

    Google Scholar 

  12. Blunden, P.G., Iqbal, M.J.: Phys. Lett.198B, 14 (1987)

    Google Scholar 

  13. Brown, G.E., Müther, H., Prakash, M.: Nucl. Phys. A506, 413 (1990); see also Ainsworth, T.L., et al.: Phys. Lett. B200, 413 (1987)

    Google Scholar 

  14. Drukarev, E.G., Levin, E.M.: Nucl. Phys. A511, 679 (1990)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Physics Department, State University of New York at Stony Brook, 11794, Stony Brook, NY, USA

    C. Adami & G. E. Brown

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  1. C. Adami
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  2. G. E. Brown
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Supported in part by the US Department of Energy under Contract No. DE-FG02-88ER40388

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Adami, C., Brown, G.E. Isospin breaking in nuclear physics: The Nolen-Schiffer effect. Z. Physik A - Hadrons and Nuclei 340, 93–100 (1991). https://doi.org/10.1007/BF01284485

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  • DOI: https://doi.org/10.1007/BF01284485

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