A MATHEMATICAL-MODEL OF HEAVY-QUARKONIA MESONIC DECAYS

被引:15
作者
ANTOINE, JP
EXNER, P
SEBA, P
SHABANI, J
机构
[1] AS CR, INST NUCL PHYS, DIV THEORY, CS-25068 PRAGUE, CZECH REPUBLIC
[2] UNIV BURUNDI, FAC SCI, BUJUMBURA, BURUNDI
关键词
D O I
10.1006/aphy.1994.1058
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A simple solvable mathematical model is proposed for the mesonic decays of heavy quarkonia. It consists in coupling the bound quark channel and the free decaying meson channel through a contact interaction. The full Hamiltonian is obtained as a self-adjoint extension of the free Hamiltonian, specified by suitable boundary conditions. One obtains a Weisskopf-Van Royen-type formula for the decay width at the lowest order in the interaction strength. Finally the model is shown to remain solvable if a Coulomb interaction is added in the quark channel. (C) 1994 Academic Press, Inc.
引用
收藏
页码:1 / 16
页数:16
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