Bethe-Salpeter wave functions for mesons of arbitrary spin and the covariant instantaneous approximation

1995 ◽  
Vol 51 (5) ◽  
pp. 2347-2352 ◽  
Author(s):  
Chao-Shang Huang ◽  
Hong-Ying Jin ◽  
Yuan-Ben Dai
Keyword(s):  
Arbitrary Spin ◽  
Wave Functions ◽  
Instantaneous Approximation

Covariant arbitrary-spin wave functions and helicity couplings

1968 ◽  
Vol 6 (6) ◽  
pp. 671-686 ◽  
Author(s):  
P.J. Caudrey ◽  
I.J. Ketley ◽  
R.C. King
Keyword(s):  
Spin Wave ◽  
Arbitrary Spin ◽  
Wave Functions

scholarly journals EXACT-PROPAGATOR INSTANTANEOUS BETHE–SALPETER EQUATION FOR QUARK–ANTIQUARK BOUND STATES

2006 ◽  
Vol 21 (21) ◽  
pp. 1657-1673 ◽  
Author(s):  
ZHI-FENG LI ◽  
WOLFGANG LUCHA ◽  
FRANZ F. SCHÖBERL
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Bound States ◽  
Lattice Gauge Theory ◽  
Bound State ◽  
State Equation ◽  
Wave Functions ◽  
Quantum Field ◽  
Lattice Gauge ◽  
Instantaneous Approximation

Recently an instantaneous approximation to the Bethe–Salpeter formalism for the analysis of bound states in quantum field theory has been proposed which retains, in contrast to the Salpeter equation, as far as possible the exact propagators of the bound-state constituents, extracted nonperturbatively from Dyson–Schwinger equations or lattice gauge theory. The implications of this improvement for the solutions of this bound-state equation, i.e. the spectrum of the mass eigenvalues of its bound states and the corresponding wave functions, when considering the quark propagators arising in quantum chromodynamics are explored.

Relativistic symmetries of fermions in the background of the inversely quadratic Yukawa potential with Yukawa potential as a tensor

2014 ◽  
Vol 92 (1) ◽  
pp. 51-58
Author(s):  
Majid Hamzavi ◽  
Sameer M. Ikhdair
Keyword(s):  
Yukawa Potential ◽  
Bound State ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Yukawa Tensor Interaction ◽  
Uvarov Method ◽  
Spinor Wave ◽  
Component Spinor

In the presence of spin and pseudo-spin symmetries, we obtain approximate analytical bound state solutions to the Dirac equation with scalar–vector inverse quadratic Yukawa potential including a Yukawa tensor interaction for any arbitrary spin–orbit quantum number, κ. The energy eigenvalues and their corresponding two-component spinor wave functions are obtained in closed form using the parametric Nikiforov–Uvarov method. It is noticed that the tensor interaction removes the degeneracy in the spin and p-spin doublets. Some numerical results are obtained for the lowest energy states within spin and pseudo-spin symmetries.

scholarly journals Approximate κ-state solutions to the Dirac Mobius square – Yukawa and Mobius square – quasi Yukawa problems under pseudospin and spin symmetry limits with Coulomb-like tensor interaction

2013 ◽  
Vol 91 (7) ◽  
pp. 560-575 ◽  
Author(s):  
Akpan N. Ikot ◽  
E. Maghsoodi ◽  
Akaninyene D. Antia ◽  
S. Zarrinkamar ◽  
H. Hassanabadi
Keyword(s):  
Spin Symmetry ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Wave Functions ◽  
Symmetry Limit ◽  
Energy Eigenvalues ◽  
Interaction Term ◽  
Yukawa Potentials ◽  
Spin Symmetry Limit ◽  
Coulomb Potentials

In this paper, we present the Dirac equation for the Mobius square – Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin–orbit quantum number, κ. We obtain the energy eigenvalues and the corresponding wave functions using the supersymmetry method. The limiting cases of the problem, which reduce to the Deng-Fan, Yukawa, and Coulomb potentials, are discussed.

Conformally invariant operator-product expansions of any number of operators of arbitrary spin

1985 ◽  
Vol 63 (11) ◽  
pp. 1427-1437 ◽  
Author(s):  
C. S. Lam ◽  
M. V. Tratnik
Keyword(s):  
Invariant Operator ◽  
Arbitrary Spin ◽  
Conformal Group ◽  
Wave Functions ◽  
Operator Product ◽  
Conformally Invariant

We derive operator-product expansions of any number of operators of arbitrary spin that are invariant under the collinear conformal group. The corresponding parton wave functions of hadrons are calculated. The result can be expressed in terms of the conformal polynomials or the dual-conformal polynomials, the properties of which are also discussed.

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