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arXiv 0705.4627nucl-th
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相对论多重散射理论与相对论冲量近似

Relativistic Multiple Scattering Theory and the Relativistic Impulse Approximation

Khin Maung Maung, John W. Norbury, Trina Coleman

摘要:

结果表明,强子-核散射的相对论性多重散射理论可以在四维介子交换的背景下一致地表述。我们给出了光学势的多重散射级数,并讨论了相对论和非相对论形式之间的差别。我们通过从费曼级数的其余部分中分离出一个玻色子交换项来发展相对论多重散射级数。然而,这种特殊的分离不是绝对必要的,我们讨论如何包括其他术语。然后,我们展示了如何使一个三维的强子-核散射计算的减少,我们发现,弹性散射方程中使用的相对能量处方应该是一致的,在自由的两体的t-矩阵中所涉及的光学势。我们还讨论了狄拉克相对论脉冲近似(RIA)所涉及的假设。

英文摘要:

It is shown that a relativistic multiple scattering theory for hadron-nucleus scattering can be consistently formulated in four-dimensions in the context of meson exchange. We give a multiple scattering series for the optical potential and discuss the differences between the relativistic and non-relativistic versions. We develop the relativistic multiple scattering series by separating out the one boson exchange term from the rest of the Feynman series. However this particular separation is not absolutely necessary and we discuss how to include other terms. We then show how to make a three-dimensional reduction for hadron-nucleus scattering calculations and we find that the relative energy prescription used in the elastic scattering equation should be consistent with the one used in the free two-body t-matrix involved in the optical potential. We also discuss what assumptions are involved in making a Dirac Relativistic Impulse Approximation (RIA).

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