Spin-Orbit and Tensor Forces in Heavy-quark Light-quark Mesons: Implications of the New Ds state at 2.32 GeV

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We consider the spectroscopy of heavy-quark light-quark mesons with a simple model based on the non-relativistic reduction of vector and scalar exchange between fermions. Four forces are induced: the spin-orbit forces on the light and heavy quark spins, the tensor force, and a spin-spin force. If the vector force is Coulombic, the spin-spin force is a contact interaction, and the tensor force and spin-orbit force on the heavy quark to order $1/m_1m_2$ are directly proportional. As a result, just two independent parameters characterize these perturbations. The measurement of the masses of three p-wave states suffices to predict the mass of ... continued below

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Cahn, Robert N. & Jackson, J. David May 1, 2003.

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We consider the spectroscopy of heavy-quark light-quark mesons with a simple model based on the non-relativistic reduction of vector and scalar exchange between fermions. Four forces are induced: the spin-orbit forces on the light and heavy quark spins, the tensor force, and a spin-spin force. If the vector force is Coulombic, the spin-spin force is a contact interaction, and the tensor force and spin-orbit force on the heavy quark to order $1/m_1m_2$ are directly proportional. As a result, just two independent parameters characterize these perturbations. The measurement of the masses of three p-wave states suffices to predict the mass of the fourth. This technique is applied to the $D_s$ system, where the newly discovered state at 2.32 GeV provides the third measured level, and to the $D$ system. The mixing of the two $J^P=1^+$ p-wave states is reflected in their widths and provides additional constraints. The resulting picture is at odds with previous expectations and raises new puzzles.

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  • Journal Name: Physical Review D; Related Information: Journal Publication Date: 27 August 2003

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  • Report No.: LBNL-52572
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1103/PhysRevD.68.037502 | External Link
  • Office of Scientific & Technical Information Report Number: 965361
  • Archival Resource Key: ark:/67531/metadc931344

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  • May 1, 2003

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  • Nov. 13, 2016, 7:26 p.m.

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  • Nov. 18, 2016, 3:58 p.m.

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Cahn, Robert N. & Jackson, J. David. Spin-Orbit and Tensor Forces in Heavy-quark Light-quark Mesons: Implications of the New Ds state at 2.32 GeV, article, May 1, 2003; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc931344/: accessed December 11, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.