Stability of a Fermi ball against deformation from spherical shape

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 67, Issue 8, 2003, Pages

  Yoshida, T ^a   Ogure, K ^b   Arafune, J ^c  

^a UNIVERSITY OF TOKYO   (Japan)

^b KOBE UNIVERSITY   (Japan)

^c National Institution for Academic Degrees and University Evaluation Tokyo   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOMIC PARTICLE; ELECTRIC CONDUCTIVITY; ELECTRIC CURRENT; ENERGY; MATHEMATICAL ANALYSIS; MOLECULAR SIZE; MOLECULAR STABILITY; PHYSICS;

EID: 4243814471     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.083506     Document Type: Article

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9. Note that the qualitative discussions in the following do not depend on the explicit form of (Formula presented)
10. Such zero-mode solutions for (Formula presented) can also exist in other cases, such as in the context of supersymmetry 3435.
11. In our context, we call the plane where the expectation value of (Formula presented) vanishes the “surface of the F ball.”
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14. In order to get the order of (Formula presented) in (Formula presented) we need only to keep the order of (Formula presented) in (Formula presented) as is well known in the perturbation theory.
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21. Note that the validity of the thin-wall expansion collapses for the small F ball, (Formula presented)
22. In general, we cannot factor (Formula presented) and (Formula presented) out of the integration because they are dependent of (Formula presented) We see, however, that (Formula presented) minimizes (Formula presented) and that the deviation from the uniform distribution causes the contributions of the order higher than (Formula presented) in the thin-wall expansion. Thus, we also take (Formula presented) in order to estimate (Formula presented)
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31. The coordinates can be defined uniquely as far as two or more normal lines do not intersect. We can neglect the contribution in the energy integration over such a region of intersection, since the region is far from the surface.
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