Coherence in Scattering of Massive Weakly Interacting Neutral Particles of Nuclei

Bednyakov, V. A.

doi:10.1134/s1063779623020028

Cited by 4 publications

(13 citation statements)

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“…where m A is the mass of the A nucleus, and ε m is the excitation energy of the mth level of this nucleus [4]. The 4-momentum q = (q 0 , q) transferred to the nucleus is related to these quantities in the following way:…”

Section: Kinematics and Cross Section Of χA Scatteringmentioning

confidence: 99%

“…Since in the lab frame the target nucleus is at rest in some |n -state, the differential cross section of the process χA n → χA ( * ) m (see, for example, [1][2][3][4][10][11][12]) takes the form…”

Section: Kinematics and Cross Section Of χA Scatteringmentioning

confidence: 99%

“…In [1][2][3], an approach was formulated to describe the interaction of massless neutrinos and antineutrinos with a nucleus resulting in that the nucleus either remains in its original state or goes into an excited state while maintaining the integrity ν(ν) + A → ν(ν) + A ( * ) . In [4], this approach was generalized to the case of nonrelativistic scattering of a massive neutral weakly interacting lepton on nuclei. On this basis, the balance of coherence and incoherence was studied in the problem of direct dark matter particle search with allowance for specific kinematic conditions and excitation energy levels of the nucleus.…”

Section: Introductionmentioning

confidence: 99%

“…A similar situation takes place in the direct detection of dark matter particles. The incoherent (inelastic) contribution to the expected event rate dominates in a number of kinematic regions at quite admissible values of the New Physics parameters [4,5]. This incoherent contribution is of independent interest because it is an additional source of important information about the nature (unknown in the case of dark matter) of the interaction.…”

Section: Introductionmentioning

confidence: 99%

“…In this context, the goal of this paper is to further generalize both the massless neutrino [1][2][3] and the massive lepton [4,5] approaches to the relativistic case of interaction of massive neutral weakly interacting particles (χ leptons) with nuclei χA → χA ( * ) , and elucidate new regularities that arise within the generaliztion.…”

Section: Introductionmentioning

confidence: 99%

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On massive neutral lepton scattering on nucleus

Bednyakov¹

2023

Preprint

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The paper presents a theoretical approach to the description of the relativistic scattering of a massive (neutral) lepton on a nucleus, in which the latter retains its integrity. The measurable cross section of this process includes the elastic (or coherent) contribution, when the nucleus remains in its original quantum state and the inelastic (incoherent) contribution, when the nucleus goes into another (excited) quantum state. Transition from the elastic scattering regime to the inelastic scattering regime is regulated automatically by the dependence of the nucleon-nucleus form factors on the momentum transferred to the nucleus. At small momentum transfers elastic scattering dominates. AS the transferred momentum increases, the contribution of the inelastic scattering increases, and the latter becomes dominant at sufficiently large transferred momenta. The interaction of a pointlike lepton with structureless nucleons of the target nucleus is parameterized with four effective coupling constants, reflecting the (axial)vector nature of the weak interaction.The scattering of massive (anti)neutrinos interacting with nucleons through the V ∓ A currents of the Standard Model is considered in detail. Because of the nonzero masses, an additional channel arises for elastic and inelastic scattering of these (anti)neutrinos on nuclei due to the possibility of changing the helicity of these (anti)neutrinos. For example, despite the smallness of the masses at (kinetic) energies of (anti)neutrinos much lower than the neutrino masses (for example, relic ones), the cross section of their interaction with the nucleus turns out to be many times enhanced, at least due to the "nucleus coherence effect".The expressions obtained for the cross sections are applicable to any precision data analysis involving neutrinos and antineutrinos, especially when non-zero neutrino masses can be taken into account. These expressions can also be used in the analysis of experiments on direct detection of (neutral) massive weakly interacting relativistic dark matter particles since, unlike the generally accepted case, they simultaneously take into account both elastic and inelastic interactions of the particles. The presence of an "inelastic signal" with its characteristic signature may be the only registrable evidence of interaction of the dark matter particle with the nucleus.

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Section: Kinematics and Cross Section Of χA Scatteringmentioning

confidence: 99%