Nuclear models and neutrino cross sections
Giampaolo Co'
本文从中微子-核截面计算的角度讨论了有效理论随机相位近似的优缺点。
Merits and faults of the effective theory Random Phase Approximations are discussed in the perspective of its use in the prediction of neutrino-nucleus cross sections.
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Photo nuclear reactions are shown to be used for studying neutrino/weak nuclear responses involved in astro-neutrino nuclear interactions and double beta decays. Charged current weak responses for ground and excited states are studied by using photo nuclear reactions through isobaric analog states of those states, while neutral current weak responses for excited states are studied by using photo nuclear reactions through the excited states. The weak interaction strengths are studied by measuring the cross sections of the photo nuclear reactions, and the spin and parity of the state are studied…
Light-neutrino mass hierarchies, nuclear matrix elements, and the observability of neutrinoless double-beta decay
利用对Sudbury中微子天文台（SNO）、SuperKamiokande（SK）、CHOOZ、KamLAND和WMAP数据的分析结果，计算了与无中微子双β衰变有关的中微子有效质量。在不同的轻中微子质量等级和现有的核矩阵元系统中讨论了76Ge衰变的可观测性。
We present neutrino capture cross sections on 13C at supernova neutrino energies, up to 50 MeV. For both charged-current and neutral-current reactions partial cross sections are calculated using statistical Hauser-Feschbach method. Coherent elastic neutrino scattering cross section for a 13C target is also provided.
Modelling nuclear effects in neutrino interactions in 1 GeV region
我们评估中微子反应中的核效应的框架内提出的模型的基础上，由Marteau与准弹性和$Δ$生产过程一起处理。核效应包括RPA修正和核物质中的$Δ$宽度修正。
Neutrino cross sections and nuclear structure
研究了理论不确定性对超新星中微子能量中微子-核截面描述的影响。
Effects of nuclear re-interactions in quasi-elastic neutrino-nucleus scattering
用唯象模型研究了中微子-核准弹性散射中核的再相互作用效应。我们发现，核响应降低，其最大值向高激发能移动。这反映在总的中微子-核截面上，中微子能量在300 MeV以上时，总的中微子-核截面约减少15%。
Nuclear effects in Neutrino Nuclear Cross-sections
研究了中微子（反中微子）与核靶的准弹性和非弹性散射中的核效应。计算是在局域密度近似下进行的，该近似考虑了核子运动的影响以及核介质中弱跃迁强度的重整化。在考虑核介质中$Δ$性质重整化的$Δ$优势模型中计算了导致π介子产生的非弹性反应。
The connection between neutrino physics, nucleosynthesis of elements in astrophysical sites, laboratory measurements with rare exotic nuclei and astronomical observations is discussed. The key role played by neutrinos is emphasized and the close connection between neutrino physics and nucleosynthesis is highlighted.
The Nuclear Physics of Solar and Supernova Neutrino Detection
本次演讲为对探测器对太阳、超新星和其他低能中微子源的响应感兴趣的学生提供了基本介绍。一些核物理学然后被应用在II型超新星内的核合成的讨论中，包括r过程和中微子过程。
In this paper we study the influence of nuclear medium effects on quasi-elastic neutrino-nucleus scattering processes. We focus on effects provided by the nuclear mean field and random phase correlations and pay special attention to differences between neutrino- and antineutrino-induced reactions. We confront our results with the T2K and MiniBooNE data for both neutrinos and antineutrinos and the neutrino-antineutrino asymmetry. In view of the recently published ab initio results we provide a careful comparison between our cross section predictions and the ab-initio calculations.
We review the general interplay between Nuclear Physics and neutrino-nucleus cross sections at intermediate and high energies. The effects of different reaction mechanisms over the neutrino observables are illustrated with examples in calculations using several nuclear models and ingredients.
Nuclear Effects in Neutrino Structure Functions
讨论了μ子和（反）中微子深度非弹性散射结构函数的核修正计算。我们的方法包括核子结构函数的QCD描述以及费米运动和核结合的处理，对束缚核子结构函数的离壳修正，核π介子过剩和核遮蔽。我们强调核效应对（反）中微子结构函数的类型和C宇称的依赖性。我们还研究了不同的核效应之间的相互作用，在阿德勒和Gross-Llewellyn-Smith总和规则的核。
Employing four different parametrization of the pairing plus multipolar type of effective two-body interaction and three different parametrizations of Jastrow-type of short range correlations, the uncertainties in the nuclear transition matrix elements $M_{N}^{(0ν)}$ due to the exchange of heavy Majorana neutrino for the $0^{+}\rightarrow 0^{+}$ transition of neutrinoless double beta decay of $^{94}$Zr, $^{96}$Zr, $^{98}$Mo, $^{100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes in the PHFB model are estimated to be around 25%. Excluding the nuclear transition matrix elemen…
Nuclear model effects in neutrino-nucleus quasielastic scattering
在扭曲波冲量近似下，用相对论壳模型描述核，并与相对论费米气体进行比较，研究了中微子-核准弹性散射中的核模型效应.带电电流和中性电流的过程被认为是和，中性电流的情况下，核效应可能会引入测量的轴向奇怪的形状因子的核子的不确定性进行了研究。
Nuclear cross sections in $^{16}\text{O}$ for $β$ beam neutrinos at intermediate energies
本文给出了在中能区对应于洛仑兹增强因子$γ<250 (150)$的$^{16}$ O中由$β$束中微子（反中微子）诱导产生带电轻子的核截面。准弹性轻子产生的计算包括泡利阻塞效应、费米运动和核介质中弱跃迁强度的重整化。在$Δ$优势模型中计算了非弹性轻子的产生。考虑了核介质中$Δ$性质的重正化以及π介子与末态核的末态相互作用。这一结果对CERN-FREJUS基线中微子振荡实验的可行性研究具有一定的参考价值。
The effects of the nuclear structure uncertainties on the description of processes induced by coherent scattering of neutrinos on nuclei are investigated. A reference calculation based on a specific nuclear model is defined and the cross sections and also the expected number of events produced by neutrinos generated by the explosion of a supernova in our galaxy, and by a spallation neutron source are evaluated. By changing the input parameters of the reference calculation their relevance on cross sections and on the number of the detected events is estimated. Seven spherical nuclei with differ…
A new generation of neutrinoless double beta decay experiments with improved sensitivity is currently under design and construction. They will probe inverted hierarchy region of the neutrino mass pattern. There is also a revived interest to the resonant neutrinoless double-electron capture, which has also a potential to probe lepton number conservation and to investigate the neutrino nature and mass scale. The primary concern are the nuclear matrix elements. Clearly, the accuracy of the determination of the effective Majorana neutrino mass from the measured 0νββ-decay half-life is mainly deter…
Neutrino-nucleus reactions and nuclear structure
本文评述了中微子-核截面的计算方法。结果显示为各种具有实际意义的目标。许多所描述的反应在未来的实验中是可以实现的，实验中使用的中微子源来自静止的π介子和μ介子衰变，这些中微子源可能在中子散射设施中可用。实验和理论结果之间的详细比较将建立核模型的验证和/或参数调整所需的基准。拥有一个可靠的计算工具在各种应用中是非常重要的，例如中微子振荡研究，超新星中微子的探测，描述中微子在超新星中的输运，以及r-过程核合成的描述。
Random Phase Approximation and neutrino-nucleus cross sections
用无规相位近似理论计算了电子中微子在$^{12}$ C核上的总截面。讨论了离散谱的激发作用。与电子散射和μ子捕获数据的比较。计算了μ介子衰变产生的电子中微子的截面。
Nuclear Effects on Bremsstrahlung Neutrino Rates of Astrophysical Interest
在这项工作中，我们计算的中微子对生产率的核子核子韧致辐射考虑到全部贡献的核一π交换势。结果表明，如果温度足够低（$T \leq 20 MeV$），在一般情况下，从完全简并（D）到非简并（ND）制度的核部分的积分可以完成。我们发现，包括完整的核贡献增强中微子对生产的$nn$和$pp$韧致辐射的一个因素，约2倍的D和ND限制相比，以前的计算。这一结果可能与II型超新星中微子层附近透明区域的物理条件、中子星的冷却和其他天体物理情况有关。
Neutrino propagation in Neutron Matter and the Nuclear Equation of State
我们在原中子星的条件下研究了中微子在致密物质中的传播。首先讨论了不同核有效相互作用（Skyrme型和Gogny型）下的物态方程。研究发现，对于许多相互作用，自旋和/或同位旋不稳定性发生在密度大于核物质的饱和密度。从这项研究中，我们选择了两个代表性的相互作用，SLy 230 b和D1 P。我们计算的响应函数在纯中子物质的核关联描述在Hartree-Fock加RPA水平。这些响应函数使我们能够评估中微子平均自由程对应的中性电流过程。
Neutrino nucleus cross sections for low energy neutrinos at SNS facilities
本文计算了用中子源装置进行的μ中微子停止实验中产生带电轻子的中微子核截面。计算是在局域密度近似下进行的，考虑了泡利阻塞、费米运动效应和核介质中弱跃迁强度的重整化。本文利用费米函数和一个模型，考虑了电荷流反应中产生的轻子的库仑畸变效应，其中轻子在末态核的局部库仑场中运动时采用了有效动量。给出了在Michel谱上平均的中微子核总截面的数值计算结果。
Neutrino absortion cross sections in supernova environment
本文研究了在质量$A\sim60$区丰中子核上的带电中微子截面。特别注意的是环境的影响，即有限的温度和密度，对截面。由于这些效应在小中微子能量时最大，因此只研究伽莫夫-特勒（GT）对截面的贡献就足够了。相关的GT强度分布来自大型壳模型计算。我们发现低能截面在有限温度下得到增强。然而，对于$(ν_e,e^-)$反应，泡利对末态电子的阻挡使得低能中微子的截面比中等密度和大密度电子的非弹性散射小得多。低能反中微子的吸收截面在有限温度下得到强烈增强。
Neutral-current neutrino-nucleus cross-sections for A~50-65 nuclei
本文研究了Mn、Fe、Co和Ni同位素的中性流中微子-核反应截面。早期对少数选定的核的研究表明，在超新星环境中，由于有限温度效应，低能中微子的截面增加。我们的工作支持了更大范围内细胞核的这一发现。此外，我们扩展以前的工作，更高的中微子能量考虑允许和禁止多极的贡献的截面。允许的贡献来自大规模壳模型计算的Gamow-Teller强度，而其他多极的贡献内的随机相位近似计算。我们提出的截面的初始和最终中微子能量的函数和超新星相关的温度范围。这些截面将允许改进的估计非弹性中微子反应的核在超新星模拟。
Weak Response of Nuclear Matter
对中微子与原子核和核物质相互作用的定量理解是研究许多不同问题所必需的。在天体物理环境中，中微子-核子和中微子-核反应速率被用作超新星$æ$爆炸和中子星冷却等现象的模拟输入。在中微子物理领域，中微子-核截面的定量知识对于降低长基线振荡实验的系统不确定度至关重要。重要的是要认识到，虽然中微子在恒星物质中的相互作用通常具有几兆电子伏的能量，但长基线振荡实验所涉及的能量要大得多。例如，K2 K实验在$E_ν =0.5-3$ GeV区域中获取数据。在这篇论文中，我们描述了核多体理论如何提供一个方案，允许一致的处理中微子核相互作用在高，低能量。我们将给出我们对高能区中微子-核反应截面的预测和低能区核物质弱反应的计算结果。
Neutrino mean free path and in-medium nuclear interaction
大质量恒星坍缩过程中产生的中微子被困在核介质中（原始中子星）。通常，中微子能量（10-100 MeV）是巨核共振能量的量级。因此，中微子的传播被核子上相干散射的可能性所修正。我们比较了不同核相互作用模型的预测。事实证明，他们的主要差异是有关的k-有效质量的密度依赖性，以及发病的不稳定性，密度增加。最后一点使我们对具有有效Skyrme型相互作用的无限物质的不稳定性进行了系统的研究。我们已经证明，对于这样的相互作用，总是有一个临界密度，超过这个密度，系统变得不稳定。
Inelastic neutrino-nucleus scattering off $^{203/205}$Tl in terms of the nuclear recoil energy using a hybrid nuclear model
本文结合核壳模型与微观准粒子-声子模型构建混合核模型，计算稳定铊同位素的非弹性中微子-核散射截面（含核反冲动能影响），测试模型预测性并给出不同中微子源的事件率，与纯壳模型结果比较显示其在高中微子能量下精度更高。
We compare the nuclear corrections factors from neutrino deep-inelastic scattering (DIS) with the ones coming from a standard analysis of nuclear parton distribution functions (nPDF). We focus on a discrepancy between the most precise neutrino DIS data from NuTeV and the nuclear PDF coming from the analysis of charged lepton DIS and Drell-Yan data.
Astrophysical environments that reach temperatures greater than $\sim$ 100 keV can have significant neutrino energy loss via both plasma processes and nuclear weak interactions. We find that nuclear processes likely produce the highest-energy neutrinos. Among the important weak nuclear interactions are both charged current channels (electron capture/emission and positron capture/emission) and neutral current channels (de-excitation of nuclei via neutrino pair emission). We show that in order to make a realistic prediction of the nuclear neutrino spectrum, one must take nuclear structure into a…
Detection of Atmospheric Neutrinos and Relativistic Nuclear Structure Effects
在相对论冲量近似和随机相位近似下计算了用于探测大气中微子的中微子-核截面。π介子生产估计通过包容性三角洲孔核激发。π介子事件的数量可能会混淆中微子味道的识别。作为π介子的另一个来源，我们计算了相干π介子的产生（原子核保持在基态）。我们研究这些原子核结构效应如何影响大气中微子实验，并研究在目前的探测器模拟可能的改进。
Nuclear Null Tests for Spacelike Neutrinos
最近，有人提出了一种类空中微子的零实验。我们详细研究了一类涉及原子和离子核β衰变或俘获的零检验。最有前途的候选系统被确定。
Nuclear matrix elements (NMEs) for two neutrino double beta decays are discussed in terms of the Fermi Surface Quasi-Particle (FSQP) Model. The evaluated NMEs agree with the observed NMEs . The new NMEs for two neutrino double beta decays from Kr78, Cd106, Ba130, and Pd110 were evaluated by FSQP. The NMEs show shell configuration dependence. Impacts of the FSQP NMEs for two neutrino double beta decays on the NMEs for neutrino less double beta decays are discussed.
Nuclear Effects in Neutrino Induced Coherent Pion Production at K2K and MiniBooNE Neutrino Energies
在局域密度近似下，考虑核介质中$Δ$性质的重整化，采用δ空穴模型研究了中微子在核中诱导的相干π介子产生.在程函近似中考虑了π介子的吸收效应。这些效应使总截面大大减小。总截面的数值计算结果与最近的实验结果一致，从K2K和MiniBooNE合作和其他老的实验中能区。
Neutrino-Oxygen interactions: role of nuclear physics in the atmospheric neutrino anomaly
由Kamiokande和IMB首次观测到的μ子与电子大气中微子比率的明显异常已经被Super-Kamiokande和Soudan-2证实。实验分析，包括在超级神冈的$ μ-\mathrm{type} $事件的天顶分布的不对称性，给出了强有力的支持中微子振荡假说，以解决异常。在这项工作中，我们感兴趣的中微子-氧反应用于检测大气中微子的核物理的作用。我们指出，np-nh型的多核子激发和核关联可以修改超级神冈的实验分析，因为它们导致1切伦科夫环保留事件的数量大幅增加。
We highlight recent developments in neutrino astrophysics. We discuss some of the connections with nuclear physics.
We discuss a novel effect in neutrinoless double beta (0νββ) decay related with the fact that its underlying mechanisms take place in the nuclear matter environment. We study the neutrino exchange mechanism and demonstrate the possible impact of nuclear medium via Lepton Number Violating (LNV) 4-fermion interactions of neutrino with quarks from decaying nucleus. The net effect of these interactions is generation of an effective in-medium Majorana neutrino mass matrix. The enhanced rate of the 0νββ-decay can lead to the apparent incompatibility of observations of the 0νββ-decay with the value o…
Effects of spin-orbit interaction on nuclear response and neutrino mean free path
研究了粒子-空穴相互作用的自旋轨道分量对核响应函数和中微子平均自由程的影响。给出了对称核物质和纯中子物质情况下完整Skyrme相互作用的完整处理。中子物质的数值结果进行了讨论。结果表明，自旋-轨道相互作用的影响仍然很小，即使在动量转移大于费米动量。中微子的平均自由程受到轻微的影响。
Experimental neutrino physics in a nuclear landscape
本文综述中微子物理与核实验的交叉研究，涵盖β衰变、中微子—核散射、天体与反应堆中微子探测及其对量子传感的推动。
Nuclear effects on lepton polarization in charged-current quasielastic neutrino scattering
本文采用关联局域费米气体（LFG）模型，考虑RPA型和末态相互作用的长距离修正，计算了带电准弹性中微子散射中末态轻子的极化。目前的模型已成功地用于最近的研究包容中微子核过程和μ子捕获。我们调查的相关性，在特定的情况下，$τ$极化的τ中微子诱导反应的相关性的几个运动学的中微子振荡实验的核效应。
We present a phenomenological study of nuclear effects in neutrino charged-current interactions, using transverse kinematic imbalances in exclusive measurements. Novel observables with minimal dependence on neutrino energy are proposed to study quasielastic scattering, and especially resonance production. They should be able to provide direct constraints on nuclear effects in neutrino- and antineutrino-nucleus interactions.
We investigate how models for neutrino-nucleus cross sections based on different assumptions for the nuclear dynamics affect the forecasted sensitivities to neutrino oscillation parameters at future neutrino facilities. We limit ourselves to the quasi-elastic regime, where the neutrino cross sections can be evaluated with less uncertainties, and discuss the sensitivity reach to theta_{13} and the CP violation phase at a prototype low-gamma beta-beam, mostly sensitive to the quasi-elastic regime.
Model-Independent Bound on Neutrino Energy Reconstruction from Nuclear Targets
研究揭示了核靶中中微子能量重建的模型无关下界，表明即使在理想条件下，重建的唯一性也无法保证，且能量分辨率存在严格正下限。
Impact of nuclear "pasta" on neutrino transport in collapsing stellar cores
核“意大利面”，即致密物质中的非球形核，预计会出现在坍缩的超新星核心中。我们展示了如何面食阶段影响中微子输运截面通过弱中性电流使用几个核模型。这是第一次考虑有限温度效应计算具有棒状和板状核的相的中微子不透明度，这是量子分子动力学很好地描述的。我们还发现，在坍缩的后期阶段，pasta相可以占据超新星核心质量的10- 20%。
Total neutrino and antineutrino nuclear cross sections around 1 GeV
我们研究中微子核相互作用的能量约为1 GeV。在这种情况下，对截面的主要贡献来自准弹性和$Δ$生产过程。我们的形式主义，基于脉冲近似是非常适合于描述这两种类型的相互作用。我们重点关注电子中微子与$^{16}O$相互作用中的一系列重要核效应，这也与未来的$β$ -Beams相关。我们的结果表明，费米气体模型，广泛用于中微子实验的数据分析，高估了总的截面高达20%。
We study the impact of neutrino-pair production from the de-excitation of highly excited heavy nuclei on core-collapse supernova simulations, following the evolution up to several 100 ms after core bounce. Our study is based on the AGILE-Boltztran supernova code, which features general relativistic radiation hydrodynamics and accurate three-flavor Boltzmann neutrino transport in spherical symmetry. In our simulations the nuclear de-excitation process is described in two different ways. At first we follow the approach proposed by Fuller and Meyer [Astrophys. J. 376,701 (1991)], which is based o…
For a long time very little experimental information was available about neutrino properties, even though a minute neutrino mass has intriguing cosmological and astrophysical implications. This situation has changed in recent decades: intense experimental activity to measure many neutrino properties took place. Some of these developments and their implications for astrophysics and cosmology are briefly reviewed with a particular emphasis on neutrino magnetic moments and collective neutrino oscillations
Background: Nuclear pasta matter, emerging due to the competition between the long-range Coulomb force and the short-range strong force, is believed to be present in astrophysical scenarios, such as neutron stars and core-collapse supernovae. Its structure can have a high impact e.g. on neutrino transport or the tidal deformability of neutron stars. Purpose: We investigate the impact of nuclear pasta on neutrino interactions and compare the results to uniform matter. Method: We calculate the elastic and inelastic static structure factors for nuclear pasta matter using density functional theory…
The nuclear matrix element for the two neutrino double beta decay (DBD) of 136Xe was evaluated by FSQP (Fermi Surface Quasi Particle model), where experimental GT strengths measured by the charge exchange reaction and those by the beta decay rates were used. The 2 neutrino DBD matrix element is given by the sum of products of the single beta matrix elements via low-lying (Fermi Surface) quasi-particle states in the intermediate nucleus. 136Xe is the semi-magic nucleus with the closed neutron-shell, and the beta + transitions are almost blocked. Thus the 2 neutrino DBD is much suppressed. The e…
The negative-muon capture reaction (MCR) on the enriched $^{100}Mo$ isotope was studied for the first time to investigate neutrino nuclear response for neutrino-less double beta decays and supernova neutrino nuclear interactions. MCR on $^{100}Mo$ proceeds mainly as $^{100}Mo(mu,xn)^{100-x}Nb$ with $x$ being the number of neutrons emitted from MCR. The Nb isotope mass distribution was obtained by measuring delayed gamma-rays from radioactive $^{100-x}Nb$. By using the neutron emission model after MCR, the neutrino response (the strength distribution) for MCR was derived. Giant resonance (GR)-l…
We have studied a method to extract neutrino flux from the data of neutrino-nucleus reaction by using maximum entropy method. We demonstrate a promising example to extract neutrino flux from the inclusive cross section of muon production without selecting a particular reaction process such as quasi-elastic nucleon knockout.
A possible mechanism for the formation of heavy-mass elements in supernovae is the rapid neutron-capture-mechanism (r-process). It depends upon the electron-fraction $Y_e$, a quantity which is determined by beta-decay-rates. In this paper, we focus on the calculation of electroweak decay-rates in presence of massive neutrinos. The resulting expressions are then used to calculate nuclear reactions entering the rapid-neutron capture. We fix the astrophysical parameters to the case of a core-collapse supernova. The neutrino sector includes a mass scheme and mixing angles for active neutrinos, and…
We explain the current status of nuclear parton distribution functions in connection with neutrino-nucleus interactions. Neutrino deep inelastic scattering (DIS) measurements have been done for heavy nuclear targets such as iron and lead. In order to extract structure functions of the nucleon, one needs to remove nuclear effects from the data. However, recent studies indicate that there are inconsistencies in nuclear modifications between charged-lepton and neutrino scattering measurements. Nuclear medium effects could be also an origin for the NuTeV anomaly in the weak-mixing angle. In additi…
Relativistic nuclear structure effects in quasielastic neutrino scattering
利用相对论介子-核子模型计算了中微子和反中微子准弹性散射的荷电流截面。我们研究如何核结构的影响，如相对论性随机相位近似（RPA）的修正和动量依赖的核子自能，影响提取的轴向形状因子的核子。RPA修正仅在低动量转移时才重要。与此相反，相对论自能的动量依赖性的变化明显的轴向质量参数，$M_A$，从偶极适合轴向形状因子提取的值。利用Brookhaven的实验中微子谱，我们估计了M $_A$对各种相对论核结构效应的敏感性。
The influence of the nuclear medium on inclusive electron and neutrino scattering off nuclei
我们提出了一个包含电子和中微子的核散射模型，特别注意介质效应对准弹性散射和π介子产生机制的影响。我们的结果进行了比较，电子散射关闭氧的实验数据在束能量范围从0.7-1.5 GeV。电子散射的良好描述可以作为中微子散射的基准。
An accurate description of the nuclear response functions for neutrino scattering in the Gev region is essential for the interpretation of present and future neutrino oscillation experiments. Due to the close similarity of electromagnetic and weak scattering processes, we will review the status of the scaling approach and of relativistic modeling for the inclusive electron scattering response functions in the quasielastic and $Δ$-resonance regions. In particular, recent studies have been focused on scaling violations and the degree to which these imply modifications of existing predictions for…
In this article, we study the coherent pion production in neutrino-nucleus interaction in the resonance region using the formalism based on partially conserved axial current (PCAC) theorem which relates the neutrino-nucleus cross section to the pion-nucleus elastic cross section. The pion nucleus elastic cross section is calculated using the Glauber model in terms of pion-nucleon cross sections obtained by parameterizing the experimental data. We calculate the differential and integrated cross sections for charged current coherent pion production in neutrino carbon scattering. The results of i…
The quantitative description of the effects of nuclear dynamics on the measured neutrino-nucleus cross sections -- needed to reduce the systematic uncertainty of long baseline neutrino oscillation experiments -- involves severe difficulties. Owing to the uncertainty on the incoming neutrino energy, different reaction mechanisms contribute to the cross section measured at fixed energy and scattering angle of the outgoing lepton, and must therefore be consistently taken into account within a unified model. We review the theoretical approach based on the impulse approximation and the use of reali…
In this article, we present the charged and neutral current coherent pion production in the neutrino-nucleus interaction in the resonance region using the formalism based on the partially conserved axial current (PCAC) theorem which relates the neutrino-nucleus cross section to the pion-nucleus elastic cross section. The pion nucleus elastic cross section is calculated using the Glauber model approach. We calculate the integrated cross sections for neutrino-carbon, neutrino-iron and neutrino-oxygen scattering. The results of integrated cross-section calculations are compared with the measured …
Neutrinos with energy of order 10~MeV, such as from pion decay-at-rest sources, are an invaluable tool for studying low-energy neutrino interactions with nuclei -- previously enabling the first measurement of coherent elastic neutrino-nucleus scattering. Beyond elastic scattering, neutrinos and dark matter in this energy range also excite nuclei to its low-lying nuclear states, providing an additional physics channel. Here, we consider neutral-current inelastic neutrino-nucleus and dark matter(DM)-nucleus scattering off $^{40}$Ar, $^{133}$Cs, and $^{127}$I nuclei that are relevant to a number …
We present a Monte Carlo truth study examining nuclear effects in charged-current neutrino interactions using observables constructed in the transverse plane. Three distributions are introduced that show very weak dependence on neutrino flux and its associated uncertainty. Measurements comparing these distributions between quasi-elastic-like and single charged pion final states will provide new constraints of nuclear effects. It is suggested that the on-axis position in the NuMI beam provides the correct flux to take advantage of this reduced energy dependence in measuring nuclear effect-gener…
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