arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0803.1770nucl-th
收藏

案例研究:用LIT方法计算窄共振

Case study: calculation of a narrow resonance with the LIT method

W. Leidemann

摘要:

研究了用洛仑兹积分变换(LIT)方法计算反应截面中窄结构的可能性。为此,我们考虑了一个假想的双核子问题,在$^3P_1$核子-核子分波中有一个低而窄的共振,并计算了相应的“氘核光吸收截面”。在LIT方法中,避免了使用连续波函数,而是使用局部化函数\tilde来代替。在这种情况下,研究多远的渐近区域\tilde的,必须确定,以获得精确的分辨率的人工引入的E1共振。与传统的显式中子-质子连续波函数计算结果相比,LIT方法能很好地再现共振区的截面,并能在较高能量下得到更精细的截面细节。然而,为了达到这个目的,对于\tilde,我们必须考虑至少30 fm的两核子距离。

英文摘要:

The possibility to resolve narrow structures in reaction cross sections in calculations with the Lorentz integral transform (LIT) method is studied. To this end we consider a fictitious two-nucleon problem with a low-lying and narrow resonance in the $^3P_1$ nucleon-nucleon partial wave and calculate the corresponding ``deuteron photoabsorption cross section''. In the LIT method the use of continuum wave functions is avoided and one works instead with a localized function \tildeΨ. In this case study it is investigated how far into the asymptotic region \tildeΨhas to be determined in order to obtain a precise resolution of the artificially introduced E1 resonance. Comparing with the results of a conventional calculation with explicit neutron-proton continuum wave functions it is shown that the LIT approach leads to an excellent reproduction of the cross section in the resonance region and of further finer cross section details at higher energies. To this end, however, for \tildeΨone has to take into account two-nucleon distances up to at least 30 fm.

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。

↑