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arXiv 0712.3669hep-thhep-ph
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超对称Q球的数值研究

Supersymmetric Q-balls: A Numerical Study

L. Campanelli, M. Ruggieri

摘要:

本文数值研究了一类非拓扑孤子Q球,它产生于标准模型的超对称扩展,具有低能规范介导的对称破缺。考虑到产生Q球的超对称势的确切形式,我们发现为了使它们经典稳定,电荷$Q$的值存在下限:$Q \gtrsim 5 \times 10^2 Q_{\rm cr}$,其中$Q_{\rm cr}$是常数,取决于定义势的参数,并且可以在$1 \lesssim Q_{\rm cr} \lesssim 10^{8 ÷16}$的范围内。如果$Q$是重子数,相对于衰变成质子的稳定性需要$Q \gtrsim 10^{17} Q_{\rm cr}$,而如果引力子质量大于$m_{3/2} \gtrsim 61 \MeV$,则不存在稳定的规范介导超对称Q球。最后,我们发现Q球的能量和半径可以参数化为$E \sim ξ_E Q^{3/4}$和$R \sim ξ_R Q^{1/4}$,其中$ξ_E$和$ξ_R$是电荷的慢变函数.

英文摘要:

We study numerically a class of non-topological solitons, the Q-balls, arising in supersymmetric extension of the Standard Model with low-energy, gauge-mediated symmetry breaking. % Taking into account the exact form of the supersymmetric potential giving rise to Q-balls, we find that there is a lower limit on the value of the charge $Q$ in order to make them classically stable: $Q \gtrsim 5 \times 10^2 Q_{\rm cr}$, where $Q_{\rm cr}$ is constant depending on the parameters defining the potential and can be in the range $1 \lesssim Q_{\rm cr} \lesssim 10^{8 ÷16}$.If $Q$ is the baryon number, stability with respect to the decay into protons requires $Q \gtrsim 10^{17} Q_{\rm cr}$, while if the gravitino mass is greater then $m_{3/2} \gtrsim 61 \MeV$, no stable gauge-mediation supersymmetric Q-balls exist. Finally, we find that energy and radius of Q-balls can be parameterized as $E \sim ξ_E Q^{3/4}$ and $R \sim ξ_R Q^{1/4}$, where $ξ_E$ and $ξ_R$ are slowly varying functions of the charge.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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