Resonances in the dipositronium system: Rydberg states

2010 ◽  
Vol 88 (11) ◽  
pp. 877-883 ◽  
Author(s):  
Joseph DiRienzi ◽  
Richard J. Drachman

We were previously successful in representing series of Ps + H scattering resonances as mainly due to quasi-bound Rydberg states in either the closed e+ + H– or Ps– + H+ system. An obvious extension would be to investigate the analogous Ps + Ps system, as either e+ + Ps– or e– + Ps+. Here we treat the system in four increasingly complete approximations: with and without including electron and positron symmetry and charge conjugation symmetry. A comparison is made with previous calculations, and in an Appendix the relationship between quasi-bound states and scattering resonances is clarified.

Atoms ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 78
Author(s):  
Anand K. Bhatia

A scattering process can be a natural process or a process carried out in a laboratory. The scattering of particles from targets has resulted in important discoveries in physics. We discuss various scattering theories of electrons and positrons and their applications to elastic scattering, resonances, photoabsorption, excitation, and solar and stellar atmospheres. Among the most commonly employed approaches are the Kohn variational principle, close-coupling approximation, method of polarized orbitals, R-matrix formulation, and hybrid theory. In every formulation, an attempt is made to include exchange, long-range and short-range correlations, and to make the approach variationally correct. The present formulation, namely, hybrid theory, which is discussed in greater detail compared to other approximations, includes exchange, long-range correlations, and short-range correlations at the same time, and is variationally correct. It was applied to calculate the phase shifts for elastic scattering, the resonance parameters of two-electron systems, photoabsorption in two-electron systems, excitation of atomic hydrogen by an electron and positron impact, and to study the opacity of the Sun’s atmosphere. Calculations of polarizabilities, Rydberg states, and bound states of atoms are also discussed.


2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Bahram Ahansaz ◽  
Abbas Ektesabi

Abstract In this paper, we investigate the relationship between the quantum speedup, non-Markovianity and formation of a system-environment bound state. Previous results show a monotonic relation between these three such that providing bound states with more negative energy can lead to a higher degree of non-Markovianity, and hence to a greater speed of quantum evolution. By studying dynamics of a dissipative two-level system or a V-type three-level system, when similar and additional systems are present, we reveal that the quantum speedup is exclusively related to the formation of the system-environment bound state, while the non-Markovian effect of the system dynamics is neither necessary nor sufficient to speed up the quantum evolution. On the other hand, it is shown that only the formation of the system-environment bound state plays a decisive role in the acceleration of the quantum evolution.


2014 ◽  
Vol 90 (5) ◽  
Author(s):  
P. Bienias ◽  
S. Choi ◽  
O. Firstenberg ◽  
M. F. Maghrebi ◽  
M. Gullans ◽  
...  

1994 ◽  
Vol 09 (21) ◽  
pp. 3707-3750 ◽  
Author(s):  
ASHOKE SEN

We present several pieces of evidence for strong–weak coupling duality symmetry in the heterotic string theory, compactified on a six-dimensional torus. They include symmetry of the (1) low energy effective action, (2) allowed spectrum of electric and magnetic charges in the theory, (3) allowed mass spectrum of particles saturating the Bogomol'nyi bound, and (4) Yukawa couplings between massless neutral particles and massive charged particles saturating the Bogomol'nyi bound. This duality transformation exchanges the electrically charged elementary string excitations with the magnetically charged soliton states in the theory. It is shown that the existence of a strong–weak coupling duality symmetry in four-dimensional string theory makes definite predictions about the existence of new stable monopole and dyon states in the theory with specific degeneracies, including certain supersymmetric bound states of monopoles and dyons. The relationship between strong–weak coupling duality transformation in string theory and target space duality transformation in the five-brane theory is also discussed.


2001 ◽  
Vol 15 (24n25) ◽  
pp. 3292-3295 ◽  
Author(s):  
JÖRG SCHMALIAN ◽  
HARRY WESTFAHL ◽  
PETER G. WOLYNES

We estimate the number of metastable states of a self generated stripe glass, relevant for the formation of glassy doped Mott insulators. Using replica bound states, we demonstrate that the configurational entropy is the difference between the entropy of the stripe liquid and of an amorphous stripe solid with phonon-type excitations. Using simple scaling laws we then determine the relationship between the modulation length and the configurational entropy.


1991 ◽  
Vol 24 (17) ◽  
pp. 3685-3699 ◽  
Author(s):  
B K Sarpal ◽  
S E Branchett ◽  
J Tennyson ◽  
L A Morgan

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