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Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I

Y. Nambu and G. Jona-Lasinio
Phys. Rev. 122, 345 – Published 1 April 1961
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Abstract

It is suggested that the nucleon mass arises largely as a self-energy of some primary fermion field through the same mechanism as the appearance of energy gap in the theory of superconductivity. The idea can be put into a mathematical formulation utilizing a generalized Hartree-Fock approximation which regards real nucleons as quasi-particle excitations. We consider a simplified model of nonlinear four-fermion interaction which allows a γ5-gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zero-mass bound states of nucleon-antinucleon pair which may be regarded as an idealized pion. In addition, massive bound states of nucleon number zero and two are predicted in a simple approximation.

The theory contains two parameters which can be explicitly related to observed nucleon mass and the pion-nucleon coupling constant. Some paradoxical aspects of the theory in connection with the γ5 transformation are discussed in detail.

  • Received 27 October 1960

DOI:https://doi.org/10.1103/PhysRev.122.345

©1961 American Physical Society

Authors & Affiliations

Y. Nambu and G. Jona-Lasinio*

  • The Enrico Fermi Institute for Nuclear Studies and the Department of Physics, The University of Chicago, Chicago, Illinois

  • *Fulbright Fellow, on leave of absence from Instituto di Fisica dell' Universita, Roma, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy.

See Also

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Y. Nambu and G. Jona-Lasinio
Phys. Rev. 124, 246 (1961)

Nobel Prize—Particle Physics Gets a Break

Michael Schirber
Phys. Rev. Focus 22, 13 (2008)

References

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Issue

Vol. 122, Iss. 1 — April 1961

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