Contribution of Nuclear Excitation Electromagnetic Form Factors in ${\rm ^{12}C}$ and ${\rm ^{16}O}$ to the Coulomb Sum Rule

التفاصيل البيبلوغرافية
العنوان: Contribution of Nuclear Excitation Electromagnetic Form Factors in ${\rm ^{12}C}$ and ${\rm ^{16}O}$ to the Coulomb Sum Rule
المؤلفون: Bodek, A., Christy, M. E.
سنة النشر: 2023
المجموعة: High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
مصطلحات موضوعية: Nuclear Theory, High Energy Physics - Phenomenology, Nuclear Experiment
الوصف: We report on empirical parameterizations of longitudinal and transverse nuclear excitation electromagnetic form factors in ${\rm ^{12}C}$ and ${\rm ^{16}O}$. We extract the contribution of nuclear excitations to the Normalized Inelastic Coulomb Sum Rule (\csr) as a function of momentum transfer $\bf q$ and find that it is significant (0.29$\pm$0.030 at $\bf q$= 0.22 GeV). The total contributions of nuclear excitations to $S_L({\bf q})$ in ${\rm ^{12}C}$ and ${\rm ^{16}O}$ are found to be equal within the uncertainties. Since the cross sections for nuclear excitations are significant, the radiative tails from nuclear excitations should be included in precise calculations of radiative corrections to quasielastic electron scattering at low $\bf q$ and deep-inelastic electron scattering at large energy transfers $\nu$. The parameterizations also serve as a benchmark in testing theoretical modeling of cross sections for excitation of nuclear states in electron and neutrino interactions on nuclear targets at low energies.
Comment: 14 pages, 16 Figures, Submitted to Physical Review C
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevC.107.054309
URL الوصول: http://arxiv.org/abs/2301.05650
رقم الأكسشن: edsarx.2301.05650
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevC.107.054309