The Pearcey Equation: From the Salpeter Relativistic Equation to Quasiparticles

Author(s):  
A. Lattanzi
2019 ◽  
Vol 488 (4) ◽  
pp. 5713-5727
Author(s):  
Kuldeep Singh ◽  
Indranil Chattopadhyay

ABSTRACT We study relativistic magnetized outflows using relativistic equation of state having variable adiabatic index (Γ) and composition parameter (ξ). We study the outflow in special relativistic magnetohydrodynamic regime, from sub-Alfvénic to super-fast domain. We showed that, after the solution crosses the fast point, magnetic field collimates the flow and may form a collimation-shock due to magnetic field pinching/squeezing. Such fast, collimated outflows may be considered as astrophysical jets. Depending on parameters, the terminal Lorentz factors of an electron–proton outflow can comfortably exceed few tens. We showed that due to the transfer of angular momentum from the field to the matter, the azimuthal velocity of the outflow may flip sign. We also study the effect of composition (ξ) on such magnetized outflows. We showed that relativistic outflows are affected by the location of the Alfvén point, the polar angle at the Alfvén point and also the angle subtended by the field lines with the equatorial plane, but also on the composition of the flow. The pair dominated flow experiences impressive acceleration and is hotter than electron–proton flow.


1968 ◽  
Vol 55 (1) ◽  
pp. 33-58 ◽  
Author(s):  
J. Fischer ◽  
N. Limić ◽  
J. Niederle ◽  
R. Rączka

2002 ◽  
pp. 337-359
Author(s):  
Louis Marchildon

2001 ◽  
Vol 16 (22) ◽  
pp. 3745-3753 ◽  
Author(s):  
JUN-CHEN SU ◽  
JIAN-XING CHEN

It is pointed out that the retardation terms given in the original Fermi–Breit potential vanish in the center-of-mass frame. The retarded one-gluon exchange potential is rederived in this paper from the three-dimensional one-gluon exchange kernel which appears in the exact three-dimensional relativistic equation for quark–antiquark bound states. The retardation part of the potential given in the approximation of order p2/m2 is shown to be different from those derived in the previous literature. This part is off-shell and no longer vanishes in the center-of-mass frame.


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