2014
DOI: 10.1103/physrevd.90.033012
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Relativistic effects in two-particle emission for electron and neutrino reactions

Abstract: Two-particle two-hole contributions to electroweak response functions are computed in a fully relativistic Fermi gas, assuming that the electroweak current matrix elements are independent of the kinematics. We analyze the genuine kinematical and relativistic effects before including a realistic mesonexchange current operator. This allows one to study the mathematical properties of the nontrivial sevendimensional integrals appearing in the calculation and to design an optimal numerical procedure to reduce the c… Show more

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Cited by 41 publications
(68 citation statements)
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“…Our integration algorithm presents a number of advantages with respect to the standard deterministic methods usually employed in the calculation of the nuclear response function. For instance, we neither employ the so-called "frozen approximation" -amounting to neglect the momenta of the two initial nucleons [78] -nor we need to parametrize the response functions before computing the double-differential and total cross sections [79,80].…”
Section: Numerical Implementationmentioning
confidence: 99%
“…Our integration algorithm presents a number of advantages with respect to the standard deterministic methods usually employed in the calculation of the nuclear response function. For instance, we neither employ the so-called "frozen approximation" -amounting to neglect the momenta of the two initial nucleons [78] -nor we need to parametrize the response functions before computing the double-differential and total cross sections [79,80].…”
Section: Numerical Implementationmentioning
confidence: 99%
“…The first difficulty is that one needs to perform these 7-dimensional integrals for a huge number of 2p-2h response Feynman diagrams. Second, divergences in the NN correlations sector and in the angular distribution of the ejected nucleons [222,223] may appear and need to be regularized. Furthermore, as illustrated in Sec.…”
Section: Np-nh Excitations: Theory Vs Experimental Dσmentioning
confidence: 99%
“…With regard to FSI, these are included by introducing a time-independent optical potential that describes the interaction between the struck nucleon and the residual nucleus. Concerning the treatment of 2p-2h excitations, we follow our previous studies in [33][34][35] that present a microscopic calculation by including a fully relativistic model for the weak charged-current MEC in both longitudinal and transverse channels, and with vector and axial-vector contributions. The present model is applied to CC0π (anti)neutrino scattering processes on carbon measured by the MiniBooNE [36,37], NO-MAD [38], T2K [39] and MINERνA [40][41][42][43] experiments spanning an energy range from hundreds of MeV up to 100 GeV.…”
Section: Introductionmentioning
confidence: 99%