Mass spectra of heavy quarkonia and B-c decay constant for static scalar-vector interactions with relativistic kinematics

Download
2005-11-10
Ikhdair, SM
Sever, Ramazan
We reproduce masses of the self-conjugate and non-self-conjugate mesons in the context of the spinless Salpeter equation taking into account the relativistic kinematics and the quark spins. The hyperfine splittings for the 2S charmonium and IS bottomonium are also calculated. Further, the pseudoscalar and vector decay constants of the Be meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of three attractive static interaction potentials of the general form V(r) = -Ar-beta+kappa r(beta)+V-0, with beta= 1, 1/2, 3/4 decomposed into scalar and vector parts in the form Vv(r) = -Ar-beta + (1 - epsilon)kappa r(beta) and V-S(r) = epsilon kappa r(beta) + Vo; where 0 <= epsilon <= 1. We have used the shifted large-N-expansion technique (SLNET) to solve the reduced equation for the scalar (epsilon = 1), equal mixture of scalar-vector (epsilon = 1/2), and vector (epsilon = 0) confinement interaction kernels. The energy eigenvalues are carried out up to the third order approximation.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A

Suggestions

B-c and heavy meson spectroscopy in the local approximation of the Schrodinger equation with relativistic kinematics
Ikhdair, SM; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2005-07-10)
We present bound state masses of the self-conjugate and non-self-conjugate mesons in the context of the Schrodinger equation taking into account the relativistic kinematics and the quark spins. We apply the usual interaction by adding the spin dependent correction. The hyperfine splittings for the 2S charmonium and 1S bottomonium are calculated. The pseudoscalar and vector decay constants of the B-c meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local eq...
SEMICLASSICAL BLACK HOLES WITH LARGE N RESCALING AND INFORMATION LOSS PROBLEM
Yeom, Dong-Han; Zoe, Heeseung (World Scientific Pub Co Pte Lt, 2011-07-30)
We consider semiclassical black holes and related rescalings with N massless fields. For a given semiclassical solution of an N = 1 universe, we can find other solution of a large N universe by the rescaling. After the rescaling, any curvature quantity takes a sufficiently small value without changing its causal structure. Via the rescaling, we argue that black hole complementarity for semiclassical black holes cannot provide a fundamental resolution of the information loss problem, and the violation of bla...
Interacting quantum topologies and the quantum Hall effect
Balachandran, A. P.; Gupta, Kumar S.; Kürkcüoğlu, Seçkin (World Scientific Pub Co Pte Lt, 2008-04-10)
The algebra of observables of planar electrons subject to a constant background magnetic field B is given by A(theta)(R-2) circle times A(theta)(R-2) (theta = -4/eB), the product of two mutually commuting Moyal algebras. It describes the free Hamiltonian and the guiding center coordinates. We argue that A(theta)(R-2) itself furnishes a representation space for the actions of these two Moyal algebras, and suggest physical arguments for this choice of the representation space. We give the proper setup to coup...
Topological black holes and momentum four-vector
Pirinccioglu, Nurettin; Binbay, Figen; AÇIKGÖZ, İRFAN; Aydogdu, Oktay (World Scientific Pub Co Pte Lt, 2007-07-30)
We consider the energy momentum definition of the Moller in both general relativity and teleparallel gravity to evaluate the energy distribution (due to both matter and fields including gravitation) associated with the topological black holes with a conformally coupled scalar field. Our results show that the energy depends on the mass M and charge Q of the black holes and cosmological constant Lambda. In some special limits, the expression of the energy reduces to the energy of the well-known spacetimes. Th...
Moller energy-momentum prescription for a Locally Rotationally Symmetric space-time
Aydogdu, Oktay (World Scientific Pub Co Pte Lt, 2006-07-20)
The energy distribution in the Locally Rotationally Symmetric (LRS) Bianchi type II space-time is obtained by considering the Mauler energy-momentum definition in both Einstein's theory of general relativity and teleparallel theory of relativity. The energy distribution which includes both the matter and gravitational field is found to be zero in both of these different gravitation theories. This result agrees with previous works of Cooperstock and Israelit, Rosen, Johri et al., Banerjee and Sen, Vargas, an...
Citation Formats
S. Ikhdair and R. Sever, “Mass spectra of heavy quarkonia and B-c decay constant for static scalar-vector interactions with relativistic kinematics,” INTERNATIONAL JOURNAL OF MODERN PHYSICS A, pp. 6509–6531, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62471.