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We report Quantum Monte Carlo calculations of weak transitions in $A\leq 10$ nuclei, based on the Norfolk two- and three-nucleon chiral interactions, and associated one- and two-body axial currents. We find that the contribution from…

Nuclear Theory · Physics 2020-08-26 G. B. King , L. Andreoli , S. Pastore , M. Piarulli , R. Schiavilla , R. B. Wiringa , J. Carlson , S. Gandolfi

We present a model for weak CC induced nuclear reactions at energies of interest for current and future neutrino oscillation experiments. This model is a natural extension of the work of Refs.[1,2], where the QE contribution to the…

High Energy Physics - Phenomenology · Physics 2013-05-29 J. Nieves , I. Ruiz Simo , M. J. Vicente Vacas

The longitudinal and transverse electromagnetic response functions of $^{12}$C are computed in a "first-principles" Green's function Monte Carlo calculation, based on realistic two- and three-nucleon interactions and associated one- and…

Nuclear Theory · Physics 2016-08-24 A. Lovato , S. Gandolfi , J. Carlson , Steven C. Pieper , R. Schiavilla

Modeling lepton-nucleus scattering with the accuracy required to extract neutrino-oscillation parameters from long- and short-baseline experiments necessitates retaining most quantum-mechanical effects. One such effect is the interference…

Nuclear Theory · Physics 2023-12-21 Alessandro Lovato , Noemi Rocco , Noah Steinberg

The quasielastic cross-sections of charged-current neutrino and antineutrino scattering on $^{12}$C are calculated using the coherent density fluctuation model with a relativistic effective mass $m_N^* =0.8 m_N$ (CDFM$_{M^*}$). The model…

Nuclear Theory · Physics 2026-04-20 M. V. Ivanov , A. N. Antonov

We have reviewed the current status of the inclusive neutrino scattering from $^{12}$C in the low energy region corresponding to the neutrino beams from the pion, muon and kaon decaying at rest. The theoretical calculations of total cross…

High Energy Physics - Phenomenology · Physics 2021-04-27 M. Sajjad Athar , S. K. Singh

Recently, the notions of Weak Measurement (WM), Weak Value (WV) and Two-State-Vector Formalism (TSVF), firstly introduced by Aharonov and collaborators, have extended the theoretical frame of standard quantum mechanics, thus providing a…

Quantum Physics · Physics 2018-03-05 C A Chatzidimitriou-Dreismann

The charged-current quasi-elastic scattering of muon neutrino on a carbon target is calculated for neutrino energy up to 2.8 GeV using the relativistic distorted-wave impulse approximation with relativistic optical potential, which was…

Nuclear Theory · Physics 2009-08-20 A. V. Butkevich

Precise measurement of neutrino oscillations, and hence the determination of their masses demands a quantitative understanding of neutrino-nucleus interactions. To this aim, two-body meson-exchange currents have to be accounted for along…

Nuclear Theory · Physics 2016-04-20 A. Lovato , O. Benhar , J. Carlson , S. Gandolfi , Steven C. Pieper , N. Rocco , R. Schiavilla

We study the long time behavior of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is convolved with the singular potential $|x|^{-\gamma}$ for $1<\gamma<2$, which is referred to as…

Analysis of PDEs · Mathematics 2023-12-22 Changhun Yang

Two relativistic approaches are considered to evaluate the quasielastic double-differential and integrated neutrino-nucleus cross sections. One, based on the relativistic impulse approximation, relies on the microscopic description of…

Nuclear Theory · Physics 2011-09-08 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , J. M. Udias

The experimental values of longitudinal and transverse response functions of the 12C nucleus have been obtained at the 3-momentum transfer q = 300 MeV/c. The data are compared with the calculations made with due regard to the dynamics of…

Nuclear Experiment · Physics 2021-11-03 A. Yu. Buki , I. S. Timchenko

We report a microscopic and general theoretical formalism for electrical response which is appropriate for both DC and AC weakly nonlinear quantum transport. The formalism emphasizes the electron-electron interaction and maintains current…

Condensed Matter · Physics 2009-10-30 Zhong-shui Ma , Jian Wang , Hong Guo

In the quasielastic region, we investigate the effect of neutrino electromagnetic properties constrained from the recent experiments on the electroweak neutral current reaction process of the neutrino-$^{12}$C scattering. For a relativistic…

Nuclear Theory · Physics 2024-08-08 K. S. Kim , P. T. P. Hutauruk , Seung-il Nam , Chang Ho Hyun

The sum rule formalism is used to evaluate rigorous bounds for the density and current static response functions in superfluid helium at zero temperature. Both lower and upper bounds are considered. The bounds are expressed in terms of…

Condensed Matter · Physics 2009-10-22 F. Dalfovo , S. Stringari

The availability of the double-differential charged-current neutrino cross section, measured by the MiniBooNE collaboration using a carbon target, allows for a systematic comparison of nuclear effects in quasi-elastic electron and neutrino…

Nuclear Theory · Physics 2014-11-21 Omar Benhar , Pietro Coletti , Davide Meloni

Low-energy neutron-${}^{19}$C scattering is studied in the three-body $n + n + {}^{18}$C model using a realistic $nn$ potential and a number of shallow and deep $n$-${}^{18}$C potentials, the latter supporting deeply-bound Pauli-forbidden…

Nuclear Theory · Physics 2017-08-07 A. Deltuva

We consider mathematical models of the weak decay of the vector bosons $W^{\pm}$ into leptons. The free quantum field hamiltonian is perturbed by an interaction term from the standard model of particle physics. After the introduction of…

Mathematical Physics · Physics 2018-10-04 Benjamin Alvarez , Jérémy Faupin

A relativistic Green's function approach to inclusive quasielastic charged-current neutrino-nucleus scattering is developed. The components of the hadron tensor are written in terms of the single-particle Green's function, which is expanded…

Nuclear Theory · Physics 2009-11-10 Andrea Meucci , Carlotta Giusti , Franco Davide Pacati

Two relativistic approaches to charged-current quasielastic neutrino-nucleus scattering are illustrated and compared: one is phenomenological and based on the superscaling behavior of electron scattering data and the other relies on the…

Nuclear Theory · Physics 2015-05-30 M. B. Barbaro , J. E. Amaro , J. A. Caballero , T. W. Donnelly , J. M. Udias