Abstract
In the recent literature, there have been a number of theoretical studies of new phenomena involving the instability of the ground state (sometimes called the vacuum state) of various fundamental forms of matter under unusual perturbations. In this paper we consider in detail two examples of instability under the application of Coulomb fields of superheavy nuclei, against the emission of positrons and the creation of a condensate of charged pion pairs. The former may occur for atomic number Z ∿ 170, whereas the latter requires Z > 103. The theory of possible forms of pion condensation inside nuclear matter and neutron star matter is also discussed. By careful attention to fundamentals, an effort is made to clarify some of the controversy now raging in the literature concerning these speculations.
Supported in part by the U.S. Atomic Energy Cornmission.
For presentation at Orbis Scientiae, Center for Theoretical Studies of the University of Miami, Jan. 7–12, 1974.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. Peiper and W. Greiner, Z. Physik 218 (1969) 327.
B. Muller, H. Peitz, J. Rafelski and W. Greiner, Phys. Rev. Letters 28 (1972) 1235.
B. Müller, J. Rafelski and W. Greiner, Z. Physik 251 (1972) 62.
B. Müller, J. Rafelski, and W. Greiner, Z. Physik 257 (1972) 183.
H. Peitz, B. Müller, J. Rafelski and W. Greiner, Lett. Nuovo Cimento 8 (1973) 37. Preprint, U. of Frankfurt, 1973.
J. Rafelski, B. Müller, W. Greiner, The Charged Vacuum in Overcritical Fields, to be published in Nuclear Physics.
V. S. Popov, Yad. Fiz 12 (1970 429 [Translation: Sov. J. of Nucl. Phys. 12, (1971) 235].
V. S. Popov, Zh. Eksp. Teor. Fiz. 59 (1970) 965 [Translation: Soviet Physics JETP 32, (1972 526].
Ya. B. Zel’dovich and V. S. Popov, Usp. Fiz Nauk 105, 3 (1971)[Sov. Phys. Usp. 14, 6 (1972)].
L. Fulcher and A. Klein, Phys. Rev. D8 (1973) 2455.
L. Fulcher and A. Klein, to be published in Annals of Physics.
A. B. Migdal, Zh. Eksp. Teor. Fiz. 61 (1971) 2209 [Sov. Phys. JETP 34 (1972) 1184]. Our treatment differs in a number of technical aspects with the work of this reference.
A. B. Migdal, Physics Letters 45B (1973) 448.
A. B. Migdal, Phys. Rev. Letters 31 (1973) 257.
A. B. Migdal, Nucl. Phys. A210 (1973) 421.
A. B. Migdal, Phys. Letters 47B (1973) 96.
R. F. Sawyer and D. J. Scalapino, Phys. Rev. D7 (1973) 953.
R. F. Sawyer and A. C. Yao, Phys. Rev. D7 (1973) 1579.
R. F. Sawyer, Phys. Rev. Letters 31 (1973) 1556.
G. Baym, Phys. Rev. Letters 30 (1973) 1340.
G. Baym and E. Flowers, submitted to Nuclear Physics.
S. Barshay, G. Vagradov, and G. E. Brown, Phys. Letters 43B (1973) 359.
S. Barshay and G. E. Brown, Phys. Letters 47B (1973) 107.
V. Fano, Phys. Rev. 124 (1961) 1866.
M. L. Goldberger and K. M. Watson, Collision Theory (John Wiley and Sons, Inc., New York, 1964) Chap. 8.
E. H. Wichmann and N. M. Kroll, Phys. Rev. 101 (1956) 843.
H. Feshbach and F. Villars, Rev. Mod. Phys. 30 (1958) 24. Our representation differs by rotation in T space from the one given in this paper.
H. Snyder and J. Weinberg, Phys. Rev. 57 (1940) 307.
L. I. Schiff, H. Snyder and J. Weinberg, Phys. Rev. 52 (1940) 315.
C. B. Dover, J. Hüfner, and R. H. Lemmer, Ann. Phys. (N.Y.) 66 (1971) 248.
C. B. Dover, Ann. Phys. (N.Y.) 79 (1973).
H. A. Bethe, Phys. Rev. Lett. 30 (1973) 105.
J. M. Eisenberg and H. J. Weber, Phys. Lett 45B (1973) 110.
J. Hüfner and C. Mahaux, Ann. Phys. 73 (1972), 525.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Plenum Press, New York
About this chapter
Cite this chapter
Klein, A., Rafelski, J. (1974). Instabilities of Matter in Strong External Fields and at High Density. In: Mintz, S.L., Mittag, L., Widmayer, S.M. (eds) Fundamental Theories in Physics. Studies in the Natural Sciences, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2913-8_4
Download citation
DOI: https://doi.org/10.1007/978-1-4684-2913-8_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-2915-2
Online ISBN: 978-1-4684-2913-8
eBook Packages: Springer Book Archive