scholarly journals Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons

2017 ◽  
Vol 96 (7) ◽  
Author(s):  
Sofia Leitão ◽  
Alfred Stadler ◽  
M. T. Peña ◽  
Elmar P. Biernat
2017 ◽  
Vol 58 (2) ◽  
Author(s):  
Sofia Leitão ◽  
Alfred Stadler ◽  
M. T. Peña ◽  
Elmar P. Biernat

2017 ◽  
pp. 149-156
Author(s):  
Sofia Leitão ◽  
Alfred Stadler ◽  
M. T. Peña ◽  
Elmar P. Biernat

2018 ◽  
Vol 59 (3) ◽  
Author(s):  
Alfred Stadler ◽  
Sofia Leitão ◽  
M. T. Peña ◽  
Elmar P. Biernat

2021 ◽  
Vol 62 (2) ◽  
Author(s):  
Mohamed Allosh ◽  
Yasser Mustafa ◽  
Nour Khalifa Ahmed ◽  
Asmaa Sayed Mustafa

2017 ◽  
pp. 97-102
Author(s):  
M. T. Peña ◽  
Sofia Leitão ◽  
Elmar P. Biernat ◽  
Alfred Stadler ◽  
J. E. Ribeiro ◽  
...  

2015 ◽  
Vol 56 (6-9) ◽  
pp. 389-394
Author(s):  
M. T. Peña ◽  
Elmar P. Biernat ◽  
Alfred Stadler

2000 ◽  
Vol 15 (20) ◽  
pp. 3221-3235 ◽  
Author(s):  
WOLFGANG LUCHA ◽  
FRANZ F. SCHÖBERL

Besides perturbation theory, which requires the knowledge of the exact unperturbed solution, variational techniques represent the main tool for any investigation of the eigenvalue problem of some semibounded operator H in quantum theory. For a reasonable choice of the employed trial subspace of the domain of H, the lowest eigenvalues of H can be located with acceptable precision whereas the trial-subspace vectors corresponding to these eigenvalues approximate, in general, the exact eigenstates of H with much less accuracy. Accordingly, various measures for the accuracy of approximate eigenstates derived by variational techniques are scrutinized. In particular, the matrix elements of the commutator of the operator H and (suitably chosen) different operators with respect to degenerate approximate eigenstates of H obtained by the variational methods are proposed as new criteria for the accuracy of variational eigenstates. These considerations are applied to that Hamiltonian the eigenvalue problem of which defines the spinless Salpeter equation. This bound-state wave equation may be regarded as the most straightforward relativistic generalization of the usual nonrelativistic Schrödinger formalism, and is frequently used to describe, e.g. spin-averaged mass spectra of bound states of quarks.


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