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arXiv 0709.4134nucl-th
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α-α相互作用与手征双π介子交换和8Be寿命

Alpha-alpha interaction with chiral two pion exchange and 8Be lifetime

E. Ruiz Arriola

摘要:

假设α粒子描述的标量等腰手征不变的重场,它示出了如何手征对称性确定α-α相互作用在长距离明确地从有效的手征拉格朗日维功率计数。主要的强贡献是由两个π介子交换势给出的,它在原点是吸引力和奇异的,因此需要重整化。当8Be被视为一个共振态的Q-因子和寿命1/伽玛衰变成两个α粒子之间的模型独立的相关性出现。对于与低能π-α散射的势模型分析相容的参数,发现Breit-Wigner宽度γ = 4.3(3)eV非常接近于实验值γ = 5.57(25)eV。

英文摘要:

Assuming that alpha particles are described by a scalar-isoscalar chiral invariant heavy field it is shown how chiral symmetry determines the alpha-alpha interaction at long distances unambiguously from dimensional power counting of an effective chiral Lagrangean. The leading strong contribution is given by a two pion exchange potential which turns out to be attractive and singular at the origin, hence demanding renormalization. When 8Be is treated as a resonance state a model independent correlation between the Q-factor and lifetime 1/Gamma for the decay into two alpha particles arises. For parameters compatible with potential model analyses of low energy pi-alpha scattering it is found a Breit-Wigner width Gamma = 4.3(3) eV very close to the experimental value, Gamma= 5.57 (25)eV.

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