Time asymmetric quantum theory and the ambiguity of the Z-boson mass and width

被引:9
作者
Bohm, A [1 ]
Harshman, NL [1 ]
Kaldass, H [1 ]
Wickramasekara, S [1 ]
机构
[1] Univ Texas, Dept Phys, Austin, TX 78712 USA
来源
EUROPEAN PHYSICAL JOURNAL C | 2000年 / 18卷 / 02期
关键词
D O I
10.1007/s100520000411
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Relativistic Gamow vectors emerge naturally in a time asymmetric quantum theory as the covariant kets associated to the resonance pole s = s(R) in the second sheet of the analytically continued S-matrix. They are eigenkets of the self-adjoint mass operator with complex eigenvalue roots(R) and have exponential time evolution with lifetime tau = -h/2Im roots(R). If one requires that the resonance width Gamma (defined by the Breit-Wigner lineshape) and the resonance lifetime tau always and exactly fulfill the relation Gamma = h/tau, then one is lead to the following parameterization of s(R) in terms of resonance mass M-R and width Gamma (R): s(R) = (M-R - i Gamma /2)(2). Applying this result to the Z-boson implies that M-R approximate to M-Z - 26MeV and Gamma (R) approximate to Gamma (Z) - 1.2MeV are the mass and width of the Z-boson and not the particle data values (M-Z, Gamma (Z)) or any other parameterization of the Z-boson lineshape. Furthermore, the transformation properties of these Gamow kets show that they furnish an irreducible representation of the causal Poincare semigroup, defined as a semi-direct product of the homogeneous Lorentz group with the semigroup of space-time translations into the forward light cone, Much like Wigner's unitary irreducible representations of the Poincare group which describe stable particles, these irreducible semigroup representations can be characterized by the spin-mass values (j, s(R) = M-R - i Gamma /2)(2)).
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页码:333 / 342
页数:10
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