Study of the structures of four-quark states in terms of the Born-Oppenheimer approximation

In this work, we use the Born-Oppenheimer approximation, where the potential between atoms can be approximated as a function of distance between the two nuclei, to study the four-quark bound states. By this approximation, Heitler and London calculated the spectrum of the hydrogen molecule, which inc...

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Published inChinese physics C Vol. 39; no. 8; pp. 22 - 31
Main Author 刘学文 柯红卫 丁亦兵 李学潜
Format Journal Article
LanguageEnglish
Published 01.08.2015
Subjects
Approximation
Born-Oppenheimer approximation
Hydrogen
Mathematical analysis
Mesons
Minima
Molecular structure
Nuclei
双夸克
奇异介子
奥本海默
氢分子
物理状态
能量最小
自旋三重态
近似理论
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Summary:In this work, we use the Born-Oppenheimer approximation, where the potential between atoms can be approximated as a function of distance between the two nuclei, to study the four-quark bound states. By this approximation, Heitler and London calculated the spectrum of the hydrogen molecule, which includes two protons （heavy） and two electrons （light）. Cenerally, the observed exotic mesons Zb（10610）, ZD（10650）, Zc（3900） and Zc（4020） （Zc（4025）） may be molecular states made of two physical mesons and/or diquark-anti-diquark structures. Analogous to the Heitler-London method for calculating the mass of the hydrogen molecule, we investigate whether there exist energy minima for these two structures. Contrary to the hydrogen molecule case where only the spin-triplet possesses an energy minimum, there exist minima for both of these states. This implies that both molecule and tetraquark states can be stable objects. Since they have the same quantum numbers, however, the two states may mix to result in the physical states. A consequence would be that partner exotic states co-existing with ZD（10610）, Zb（]0650）, Zc（3900） and Zc（4020） （Zc（4025）） are predicted and should be experimentally observed.
Bibliography:LIU Xue-Wen, KE Hong-Wei,DING Yi-Bing, LI Xue-Qian（ 1 School of Physics, Nankai University, Tianjin 300071, China 2 School of Science, Tianjin University, Tianjin 300072, China 3 School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China）
11-5641/O4
exotic states, Born-Oppenheimer approximation, molecule, tetraquark
In this work, we use the Born-Oppenheimer approximation, where the potential between atoms can be approximated as a function of distance between the two nuclei, to study the four-quark bound states. By this approximation, Heitler and London calculated the spectrum of the hydrogen molecule, which includes two protons （heavy） and two electrons （light）. Cenerally, the observed exotic mesons Zb（10610）, ZD（10650）, Zc（3900） and Zc（4020） （Zc（4025）） may be molecular states made of two physical mesons and/or diquark-anti-diquark structures. Analogous to the Heitler-London method for calculating the mass of the hydrogen molecule, we investigate whether there exist energy minima for these two structures. Contrary to the hydrogen molecule case where only the spin-triplet possesses an energy minimum, there exist minima for both of these states. This implies that both molecule and tetraquark states can be stable objects. Since they have the same quantum numbers, however, the two states may mix to result in the physical states. A consequence would be that partner exotic states co-existing with ZD（10610）, Zb（]0650）, Zc（3900） and Zc（4020） （Zc（4025）） are predicted and should be experimentally observed.
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1674-1137
0254-3052
DOI:10.1088/1674-1137/39/8/083103