Spectroscopy, decay properties and Regge trajectories of the B and Bs mesons

  • 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 a O(1/m) correction in the potential energy term and expansion of the kinetic energy term up to O(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 13P2 state, B1(5721) and Bs1(5830) as the 1 P1 state, B0(5732) as the 13P0 state, Bs1(5850) as the 1P'1 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.
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Virendrasinh Kher, Nayneshkumar Devlani and Ajay Kumar Rai. Spectroscopy, decay properties and Regge trajectories of the B and Bs mesons[J]. Chinese Physics C, 2017, 41(9): 093101. doi: 10.1088/1674-1137/41/9/093101
Virendrasinh Kher, Nayneshkumar Devlani and Ajay Kumar Rai. Spectroscopy, decay properties and Regge trajectories of the B and Bs mesons[J]. Chinese Physics C, 2017, 41(9): 093101.  doi: 10.1088/1674-1137/41/9/093101 shu
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Received: 2017-04-17
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    A. K. Rai acknowledges the financial support extended by the Department of Science of Technology, India under SERB fast track scheme SR/FTP/PS-152/2012

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Spectroscopy, decay properties and Regge trajectories of the B and Bs mesons

    Corresponding author: Virendrasinh Kher, vhkher@gmail.com
    Corresponding author: Nayneshkumar Devlani, vhkher@gmail.com
    Corresponding author: Ajay Kumar Rai, vhkher@gmail.com
  • 1. Applied Physics Department, Polytechnic, The M. S. University of Baroda, Vadodara 390002, Gujarat, India
  • 2. Department of Applied Physics, Sardar Vallabhbhai National Institute of Technology, Surat 395007, Gujarat, India
  • 3.  Applied Physics Department, Polytechnic, The M. S. University of Baroda, Vadodara 390002, Gujarat, India
  • 4.  Department of Applied Physics, Sardar Vallabhbhai National Institute of Technology, Surat 395007, Gujarat, India
Fund Project:  A. K. Rai acknowledges the financial support extended by the Department of Science of Technology, India under SERB fast track scheme SR/FTP/PS-152/2012

Abstract: 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 a O(1/m) correction in the potential energy term and expansion of the kinetic energy term up to O(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 13P2 state, B1(5721) and Bs1(5830) as the 1 P1 state, B0(5732) as the 13P0 state, Bs1(5850) as the 1P'1 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.

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