Comment on “Neutrino interaction with matter in a noninertial frame”
Abstract In this comment, we obtain the complete energy levels for Dvornikov’s paper [1], that is, the energy levels dependent on two quantum numbers, namely, the radial quantum number (given by N) and the angular quantum number (given by J z ). In particular, what motivated us to do this was the fa...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)085 |
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| author | R. R. S. Oliveira |
| author_facet | R. R. S. Oliveira |
| author_sort | R. R. S. Oliveira |
| collection | DOAJ |
| description | Abstract In this comment, we obtain the complete energy levels for Dvornikov’s paper [1], that is, the energy levels dependent on two quantum numbers, namely, the radial quantum number (given by N) and the angular quantum number (given by J z ). In particular, what motivated us to do this was the fact that the quantized energy levels for particles (fermions or bosons) in polar, cylindrical, or spherical coordinates depend on two quantum numbers: a radial quantum number and an angular quantum number. From this, the following question/doubt arose: why do the energy levels in Dvornikov’s paper only depend on one quantum number? That is, Where did the angular quantum number given by J z go? So, using Studenikin’s paper [19] as a starting point (as well as others in the literature), we write one of the equations from Dvornikov’s paper [1] in a matrix form. Next, we use the four-component Dirac spinor and obtain a set/system of four coupled first-order differential equations. From the first two equations with m → 0, we obtain a (compact) second-order differential equation for the last two spinor components. So, solving this equation, we obtain the neutrino energy levels, which explicitly depend on both N and J z . Finally, we note that for J z > 0 (positive angular momentum) with u = +1 (component ψ 3), we obtain exactly the particular energy levels of Dvornikov’s paper [1]. |
| format | Article |
| id | doaj-art-acac3bf6a3d94bfb93082750c95eec45 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-acac3bf6a3d94bfb93082750c95eec452025-02-09T12:08:21ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025111110.1007/JHEP01(2025)085Comment on “Neutrino interaction with matter in a noninertial frame”R. R. S. Oliveira0Departamento de Física, Universidade Federal da ParaíbaAbstract In this comment, we obtain the complete energy levels for Dvornikov’s paper [1], that is, the energy levels dependent on two quantum numbers, namely, the radial quantum number (given by N) and the angular quantum number (given by J z ). In particular, what motivated us to do this was the fact that the quantized energy levels for particles (fermions or bosons) in polar, cylindrical, or spherical coordinates depend on two quantum numbers: a radial quantum number and an angular quantum number. From this, the following question/doubt arose: why do the energy levels in Dvornikov’s paper only depend on one quantum number? That is, Where did the angular quantum number given by J z go? So, using Studenikin’s paper [19] as a starting point (as well as others in the literature), we write one of the equations from Dvornikov’s paper [1] in a matrix form. Next, we use the four-component Dirac spinor and obtain a set/system of four coupled first-order differential equations. From the first two equations with m → 0, we obtain a (compact) second-order differential equation for the last two spinor components. So, solving this equation, we obtain the neutrino energy levels, which explicitly depend on both N and J z . Finally, we note that for J z > 0 (positive angular momentum) with u = +1 (component ψ 3), we obtain exactly the particular energy levels of Dvornikov’s paper [1].https://doi.org/10.1007/JHEP01(2025)085Chiral LagrangianElectroweak Precision PhysicsNeutrino InteractionsNeutrino Mixing |
| spellingShingle | R. R. S. Oliveira Comment on “Neutrino interaction with matter in a noninertial frame” Journal of High Energy Physics Chiral Lagrangian Electroweak Precision Physics Neutrino Interactions Neutrino Mixing |
| title | Comment on “Neutrino interaction with matter in a noninertial frame” |
| title_full | Comment on “Neutrino interaction with matter in a noninertial frame” |
| title_fullStr | Comment on “Neutrino interaction with matter in a noninertial frame” |
| title_full_unstemmed | Comment on “Neutrino interaction with matter in a noninertial frame” |
| title_short | Comment on “Neutrino interaction with matter in a noninertial frame” |
| title_sort | comment on neutrino interaction with matter in a noninertial frame |
| topic | Chiral Lagrangian Electroweak Precision Physics Neutrino Interactions Neutrino Mixing |
| url | https://doi.org/10.1007/JHEP01(2025)085 |
| work_keys_str_mv | AT rrsoliveira commentonneutrinointeractionwithmatterinanoninertialframe |