Several Crucial Problems in Evaluating Spectra of Baryons with Two Heavy Quarks

TONG ShengPing; DING YiBing; GUO XinHeng; JIN HongYing; LI XueQian; SHEN PengNian; ZHANG Rui

Chinese Physics C> 2000, Vol. 24> Issue(7) : 691-696

Several Crucial Problems in Evaluating Spectra of Baryons with Two Heavy Quarks

Graduate School,University of Science and Technology of China at Beijing,The Chinese Academy of Sciences,Beijing 100039,China2 Department of Physics and Mathematical Physics,and Special Research Center for the Subatomic Structure of Matter,University of Adelaide,SA 5005,Australia3 Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 100039,China4 Department of Physics,University of Mainz,Germany5 Department of Physics,Nankai University,Tianjin 300071,China

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Abstract：
The spectra of baryons which include two heavy quarks and one light quark can be treated as a two-body system,where two heavy quarks constitute a bosonic diquark.We derive the effective potential between the light quark and the heavy diquark.In this work we have discussed several serious problems:(1)the operator ordering,(2)the errors caused by the non-relativistic expansion,(3)spin-spin coupling and (4)the mixing between baryon states with scalar-diquark and vector-diquark.

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TONG ShengPing, DING YiBing, GUO XinHeng, JIN HongYing, LI XueQian, SHEN PengNian and ZHANG Rui. Several Crucial Problems in Evaluating Spectra of Baryons with Two Heavy Quarks[J]. Chinese Physics C, 2000, 24(7): 691-696.

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Received: 2000-01-05
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Several Crucial Problems in Evaluating Spectra of Baryons with Two Heavy Quarks

Corresponding author: TONG ShengPing,

Graduate School,University of Science and Technology of China at Beijing,The Chinese Academy of Sciences,Beijing 100039,China2 Department of Physics and Mathematical Physics,and Special Research Center for the Subatomic Structure of Matter,University of Adelaide,SA 5005,Australia3 Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 100039,China4 Department of Physics,University of Mainz,Germany5 Department of Physics,Nankai University,Tianjin 300071,China

Received Date: 2000-01-05
Accepted Date: 1900-01-01
Available Online: 2000-07-05

Abstract: The spectra of baryons which include two heavy quarks and one light quark can be treated as a two-body system,where two heavy quarks constitute a bosonic diquark.We derive the effective potential between the light quark and the heavy diquark.In this work we have discussed several serious problems:(1)the operator ordering,(2)the errors caused by the non-relativistic expansion,(3)spin-spin coupling and (4)the mixing between baryon states with scalar-diquark and vector-diquark.