论文标题

建模单核kaon decay-at-Rest中微子的绝对相互作用

Modeling quasielastic interactions of monoenergetic kaon decay-at-rest neutrinos

论文作者

Nikolakopoulos, Alexis, Pandey, Vishvas, Spitz, Joshua, Jachowicz, Natalie

论文摘要

当静止的正kaon衰减时(kdar; $ k^+ \rightArrowμ^+ν_μ$)时,很容易在236 MeV的Monoenergitic Muon Neutrinos($ \ gtrsim $ 2-3〜GEV)生产。这些中微子为研究中微子相互作用而提供了一个独特的机会,并使用单一弱相互作用工具探测核。我们介绍了这236〜MEV Neutrinos的准散射的横截面计算,即$^{12} $ C和$^{40} $ ar,特别注意散射过程的低能量方面。我们的模型以平均场(MF)方法对核的描述为起点,我们使用Skyrme型核子核子相互作用来解决Hartree-Fock(HF)方程。因此,我们通过连续的随机相近似(CRPA)框架引入了远程核相关性,在该框架中我们使用绿色的函数方法求解CRPA方程。该模型在$^{12} $ c和$^{40} $ ca上成功地描述了($ e,e'$)数据,该数据与KINEMATIC区域中的$^{40} $ CA与KDAR $ν_μ$相位空间重叠。除了这些结果外,我们还为当前和将来的实验中的计算的精确kDAR横截面测量以及计算的应用提供了未来的前景,这些实验将利用这些中微子。

Monoenergetic muon neutrinos at 236 MeV are readily produced in intense medium-energy proton facilities ($\gtrsim$2-3~GeV) when a positive kaon decays at rest (KDAR; $K^+ \rightarrow μ^+ ν_μ$). These neutrinos provide a unique opportunity to both study the neutrino interaction and probe the nucleus with a monoenergetic weak-interaction-only tool. We present cross section calculations for quasielastic scattering of these 236~MeV neutrinos off $^{12}$C and $^{40}$Ar, paying special attention to low-energy aspects of the scattering process. Our model takes the description of the nucleus in a mean-field (MF) approach as the starting point, where we solve Hartree-Fock (HF) equations using a Skyrme type nucleon-nucleon interaction. Thereby, we introduce long-range nuclear correlations by means of a continuum random phase approximation (CRPA) framework where we solve the CRPA equations using a Green's function method. The model successfully describes ($e,e'$) data on $^{12}$C and $^{40}$Ca in the kinematic region that overlaps with the KDAR $ν_μ$ phase space. In addition to these results, we present future prospects for precision KDAR cross section measurements and applications of our calculations in current and future experiments that will utilize these neutrinos.

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