3,246,526 research outputs found
Expansion of bound state energies in powers of m/M and (1-m/M)
Elaborating on a previous letter, we use a new approach to compute energy
levels of a non-relativistic bound-state of two constituents, with masses m and
M, by systematic expansions - one in powers of m/M and another in powers of
(1-m/M). Technical aspects of the calculations are described in detail.
Theoretical predictions are given for O(alpha(Z*alpha)^5) radiative recoil and
O((Z*alpha)^6) pure recoil corrections to the average energy shift and
hyperfine splitting relevant for hydrogen, muonic hydrogen, and muonium.Comment: 9 pages, revte
Radiative-Recoil Corrections of Order to Lamb Shift Revisited
The results and main steps of an analytic calculation of radiative-recoil
corrections of order to the Lamb shift in hydrogen
are presented. The calculations are performed in the infrared safe Yennie
gauge. The discrepancy between two previous numerical calculations of these
corrections existing in the literature is resolved. Our new result eliminates
the largest source of the theoretical uncertainty in the magnitude of the
deuterium-hydrogen isotope shift.Comment: 14 pages, REVTE
A M|M|m|m Queue System Transient Behavior Study
It is a very hard task to compute an exact solution for the differential
equations, with differences, system that allows the determination of the
M|M|m|m system transient probabilities. The respective complexity grows with m.
The computations are extremely fastidious and the length and the fact that the
expressions obtained are often approximate, and not exact, will not allow the
transient probabilities behavior as time functions characterization. To
overcome these problems, in this work it is analyzed how that system can supply
approximate values to the M|M|m|m queue system. It is also presented an
asymptotic method to solve the system that becomes possible in many cases to
obtain simple approximated expressions for those probabilities using the
M|M|Inf transient probabilities, very well-known and very much easier to study.Comment: 23 pages and no figure
Stability of the Hydrogen and Hydrogen-like Molecules
We present a simple proof of the stability of the hydrogen molecule
. It does not rely on the proton-to-electron mass ratio
being very large, and actually holds for arbitrary values of . Some
asymmetric molecules of the type are also stable.
Possible applications to molecules containing antiparticles and to exotic
hadrons in the quark model are briefly outlined. Revtex Version 3.0, 4 Figures
available on request by Fax or Mail
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