We investigate the effect of kinetic deeoupling on the relic density of the non-relativistic particles whose annihilation rate is increased by Sommerfeld enhancement. We discuss the effect of kinetic decoupling both f...We investigate the effect of kinetic deeoupling on the relic density of the non-relativistic particles whose annihilation rate is increased by Sommerfeld enhancement. We discuss the effect of kinetic decoupling both for the Sommerfeld enhanced s-wave annihilation and p-wave anihilation cross sections. We find after kientic deeoupling Sommerfeld enhanced annihilations continue to change the particle abundance until the matter domination begins or the Sommerfeld effect cuts off. We provide analytic estimates of this effect.展开更多
Specific modifications of the usual canonical commutation relations between position and momentumoperators have been proposed in the literature in order to implement the idea of the existence of a minimal observablele...Specific modifications of the usual canonical commutation relations between position and momentumoperators have been proposed in the literature in order to implement the idea of the existence of a minimal observablelength. Here, we study a consequence of this proposal in relativistic quantum mechanics by solving in the momentumspace representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and thecorresponding momentum space wave function are obtained. Following Chang et al. (Phys. Rev. D 65 (2002) 125027),we discuss constraint that can be placed on the minimal length by measuring the energy levels of an electron in a penningtrap.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No. 11047009the Doctor Fund (BS100108) from Xinjiang University
文摘We investigate the effect of kinetic deeoupling on the relic density of the non-relativistic particles whose annihilation rate is increased by Sommerfeld enhancement. We discuss the effect of kinetic decoupling both for the Sommerfeld enhanced s-wave annihilation and p-wave anihilation cross sections. We find after kientic deeoupling Sommerfeld enhanced annihilations continue to change the particle abundance until the matter domination begins or the Sommerfeld effect cuts off. We provide analytic estimates of this effect.
文摘Specific modifications of the usual canonical commutation relations between position and momentumoperators have been proposed in the literature in order to implement the idea of the existence of a minimal observablelength. Here, we study a consequence of this proposal in relativistic quantum mechanics by solving in the momentumspace representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and thecorresponding momentum space wave function are obtained. Following Chang et al. (Phys. Rev. D 65 (2002) 125027),we discuss constraint that can be placed on the minimal length by measuring the energy levels of an electron in a penningtrap.
