A Gaussian wave function is used for detailed study of the mass spectra of the B and Bs mesons using a Cornell potential incorporated with (1/m) correction in the potential energy term and expansion of the kinetic ...A Gaussian wave function is used for detailed study of the mass spectra of the B and Bs mesons using a Cornell potential incorporated with (1/m) correction in the potential energy term and expansion of the kinetic energy term up to (p10) for relativistic correction of the Hamiltonian. The predicted excited states for the B and Bs mesons are in very good agreement with results obtained by experiment. We assign B2(5747) and Bs2(5840) as the 1^3p2 state, B1(5721) and Bs1(5830) as the 1P1 state, B0(5732) as the 1^3P0 state, Bs1(5850) as the 1P1 state and B(5970) as the 23S1 state. We investigate the Regge trajectories in the (J,M2) and (nr,M2) planes with their corresponding parameters. The branching ratios for leptonic and radiative-leptonic decays are estimated for the B and Bs mesons. Our results are in good agreement with experimental observations as well as outcomes of other theoretical models.展开更多
The mass spectra of charmonium are investigated using a Coulomb plus linear(Cornell)potential.Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values o...The mass spectra of charmonium are investigated using a Coulomb plus linear(Cornell)potential.Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values of potential and kinetic energy respectively.Various experimental states(X(4660)(5^3S1),X(3872)(2^3P1),X(3900)(2^1P1),X(3915)(2^3P0)and X(4274)(3^3P1)etc.)are assigned as charmonium states.We also study the Regge trajectories,pseudoscalar and vector decay constants,electric and magnetic dipole transition rates,and annihilation decay widths for charmonium states.展开更多
基金the financial support extended by the Department of Science of Technology,India under SERB fast track scheme SR/FTP/PS-152/2012
文摘A Gaussian wave function is used for detailed study of the mass spectra of the B and Bs mesons using a Cornell potential incorporated with (1/m) correction in the potential energy term and expansion of the kinetic energy term up to (p10) for relativistic correction of the Hamiltonian. The predicted excited states for the B and Bs mesons are in very good agreement with results obtained by experiment. We assign B2(5747) and Bs2(5840) as the 1^3p2 state, B1(5721) and Bs1(5830) as the 1P1 state, B0(5732) as the 1^3P0 state, Bs1(5850) as the 1P1 state and B(5970) as the 23S1 state. We investigate the Regge trajectories in the (J,M2) and (nr,M2) planes with their corresponding parameters. The branching ratios for leptonic and radiative-leptonic decays are estimated for the B and Bs mesons. Our results are in good agreement with experimental observations as well as outcomes of other theoretical models.
基金the financial support extended by the Department of Science of Technology,India under the SERB fast track scheme SR/FTP /PS152/2012
文摘The mass spectra of charmonium are investigated using a Coulomb plus linear(Cornell)potential.Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values of potential and kinetic energy respectively.Various experimental states(X(4660)(5^3S1),X(3872)(2^3P1),X(3900)(2^1P1),X(3915)(2^3P0)and X(4274)(3^3P1)etc.)are assigned as charmonium states.We also study the Regge trajectories,pseudoscalar and vector decay constants,electric and magnetic dipole transition rates,and annihilation decay widths for charmonium states.