Derivation of a 1/<EM>r</EM><SUP>2</SUP> potential term for QQ in a potential model

LIU Xiang

doi:10.1088/1674-1137/34/9/078

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2024年10月30日

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1482-1484 DOI: 10.1088/1674-1137/34/9/078

Derivation of a 1/r² potential term for QQ in a potential model

LIU Xiang ^,

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Abstract：
We clarify the difference among potential models so far proposed to explain mass spectra of heavy-light mesons via transformations of the vacuum. Applying our idea to QQ quarkonium, we obtain the extra term, 1/r² with positive coefficient, other than non-relativistic potential terms expected for quarkonium.

References

[1]

. Matsuki T, Morii T. Phys. Rev. D, 1997, 56: 5646-56672. Matsuki T, Morii T, Sudoh K. Prog. Theor. Phys., 2005,117: 1007-10123. Georgi H. Phys. Lett. B, 1990, 240: 447-4504. Foldy L L, Wouthuysen S A. Phys. Rev., 1950, 78: 29-36;Tani S. Prog. Theor. Phys., 1951, 6: 267-2855. Morishita J, Kawaguchi M, Morii T. Phys. Rev. D, 1988,37: 159-1786. ZENG J, Van Orden J W, Roberts W. Phys. Rev. D, 1993,52: 5229-5241; Di Piero M, Eichten E. Phys. Rev. D, 2001,64: 1140047. Ebert D, Galkin V O, Faustov R N. Phys. Rev. D, 1998,57: 5663-56698. Godfrey S, Kokoski R. Phys. Rev. D, 1991, 43: 1679-16879. Koma Y, Koma M, Wittig H. Phys. Rev. Lett., 2006, 97:12200310. Landau L D, Lifshitz E M. Quantum Mechanics. ElsevierScience Ltd, 2003

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LIU Xiang. Derivation of a 1/r² potential term for QQ in a potential model[J]. Chinese Physics C, 2010, 34(9): 1482-1484. doi: 10.1088/1674-1137/34/9/078

LIU Xiang. Derivation of a 1/r² potential term for QQ in a potential model[J]. Chinese Physics C, 2010, 34(9): 1482-1484. doi: 10.1088/1674-1137/34/9/078 shu

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Received: 2010-02-09
Revised: 1900-01-01

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Derivation of a 1/r² potential term for QQ in a potential model

LIU Xiang ^,

Corresponding author: LIU Xiang,

Received Date: 2010-02-09
Accepted Date: 1900-01-01
Available Online: 2010-09-05

Abstract:

We clarify the difference among potential models so far proposed to explain mass spectra of heavy-light mesons via transformations of the vacuum. Applying our idea to QQ quarkonium, we obtain the extra term, 1/r² with positive coefficient, other than non-relativistic potential terms expected for quarkonium.