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arXiv 1005.2134nucl-thastro-ph.SRnucl-ex
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~（12）C上的中微子和反中微子电荷交换反应

Neutrino and antineutrino charge-exchange reactions on 12C

A. R. Samana, F. Krmpotic, N. Paar, C. A. Bertulani

备注：
21 pages, 13 figures, 1 table, submitted to Physical Review C
发表信息：
Phys.Rev.C83:024303,2011
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摘要：

我们扩展了弱相互作用过程的形式，得到了新的跃迁率表达式，这大大方便了中微子-核反应和μ子俘获的数值计算。明确违反CVC假设的库仑场，以及发展的总和规则方法的包容性截面已经制定出来。我们在投影准粒子无规相近似下对$^{12}$ B和$^{12}$ N的基态性质进行了深入的研究。与以这种方式实现的实验数据的良好一致性证明了标准RPA和QRPA模型的局限性，这些局限性来自RPA不能打开$p_{3/2}$壳，以及来自QRPA中粒子数量的不守恒。在PQRPA和相对论QRPA（RQRPA）中计算了包含中微子/反中微子（$ν/\tildeν$）反应$^{12}$ C（$ν,e^-)^{12}$ N）和$^{12}$ C（$\tildeν,e^+)^{12}$ B）。结果表明：对于$ν$和$\tildeν$，在低能时，其截面的大小接近求和规则极限，但在高能时明显小于该极限;当组态空间增大时，截面的大小稳定增加，特别是对于$ν/\tildeν$能量$> 200$ MeV时;简要讨论了最近在MiniBooNE实验中测得的准弹性$^{12}$ C（$ν,μ^-)^{12}$ N）截面。研究了基于不同多极子的禁忌度的包含截面的分解。几句话是专门为$ν/\tildeν$ - $^{12}$ C电荷交换反应与天体物理学的应用。

英文摘要：

We extend the formalism of weak interaction processes, obtaining new expressions for the transition rates, which greatly facilitate numerical calculations, both for neutrino-nucleus reactions and muon capture. Explicit violation of CVC hypothesis by the Coulomb field, as well as development of a sum rule approach for the inclusive cross sections have been worked out. We have done a thorough study of exclusive (ground state) properties of $^{12}$B and $^{12}$N within the projected quasiparticle random phase approximation (PQRPA). Good agreement with experimental data achieved in this way put in evidence the limitations of standard RPA and the QRPA models, which come from the inability of the RPA in opening the $p_{3/2}$ shell, and from the non-conservation of the number of particles in the QRPA. The inclusive neutrino/antineutrino ($ν/\tildeν$) reactions $^{12}$C($ν,e^-)^{12}$N and $^{12}$C($\tildeν,e^+)^{12}$B are calculated within both the PQRPA, and the relativistic QRPA (RQRPA). It is found that the magnitudes of the resulting cross-sections: i) are close to the sum-rule limit at low energy, but significantly smaller than this limit at high energies both for $ν$ and $\tildeν$, ii) they steadily increase when the size of the configuration space is augmented, and particulary for $ν/\tildeν$ energies $> 200$ MeV, and iii) converge for sufficiently large configuration space and final state spin. The quasi-elastic $^{12}$C($ν,μ^-)^{12}$N cross section recently measured in the MiniBooNE experiment is briefly discussed. We study the decomposition of the inclusive cross-section based on the degree of forbiddenness of different multipoles. A few words are dedicated to the $ν/\tildeν$-$^{12}$C charge-exchange reactions related with astrophysical applications.

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