UNIFICATION OF LINEAR REGGE TRAJECTORIES FOR ALL QQBAR FAMILIES

被引:4
作者
CHANG, NP [1 ]
NELSON, CA [1 ]
机构
[1] SUNY BINGHAMTON,DEPT PHYS,BINGHAMTON,NY 13901
来源
PHYSICAL REVIEW D | 1979年 / 19卷 / 11期
关键词
D O I
10.1103/PhysRevD.19.3336
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We report on a simple mass formula for the relativistic bound state QQ̄ system which describes remarkably well the family of mesons (ρ,ω,φ,Jψπ,K,K*,D,D*,F,F*): M2=(m1+m2)2+[2m1m2(m12+m22)](m1+m2)Ω(n+2)-c(m1+m2)2(m12+m22), where m1,m2 are the constituent quark masses, Ω is a universal constant (= 0.6624 GeV), n is the quantum number for the state, and c is an effective constant which measures how far off-shell the quarks are in their bound state, i.e., p12+m12+p22+m22 c•c depends weakly on the spin-triplet or singlet nature of the QQ̄ system. The parameters found in our fit are (in GeV units) mu=md=0.838 69, ms=0.879 88, mc=1.509 67, mb=4.393 12, c(triplet)=2.776 90, cπ(singlet)=2.508 40, cK(singlet)=2.492 76. A derivation based on a parton picture of a constituent-bound-state system of QQ̄ is given. Implications of this mass formula for higher-mass states are discussed. © 1979 The American Physical Society.
引用
收藏
页码:3336 / 3348
页数:13
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