Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (32)

Search Parameters:
Keywords = muon decay

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
10 pages, 351 KiB  
Article
Investigating K/π Decay Muon Yields Using K/π Yields and a Fast Simulation Method
by Zuman Zhang, Sha Li, Ning Yu, Hongge Xu, Yuanmeng Xiong and Kun Liu
Particles 2025, 8(2), 59; https://doi.org/10.3390/particles8020059 - 3 Jun 2025
Viewed by 583
Abstract
In ultra-relativistic heavy-ion collisions, the study of muons from kaon (K) and pion (π) decays provides insights into hadron production and propagation in the Quark–Gluon Plasma (QGP). This paper investigates muon yields from K and π decays in Pb–Pb [...] Read more.
In ultra-relativistic heavy-ion collisions, the study of muons from kaon (K) and pion (π) decays provides insights into hadron production and propagation in the Quark–Gluon Plasma (QGP). This paper investigates muon yields from K and π decays in Pb–Pb collisions at sNN=2.76 TeV using a fast simulation method. We employ a fast Monte Carlo procedure to estimate muon yields from charged kaons and pions. The simulation involves generating pions and kaons with uniform pT and y distributions, simulating their decay kinematics via PYTHIA, and reweighting to match the physical spectra. Our results show the transverse momentum distributions of muons from K and π decays at forward rapidity (2.5<y<4.0) for different centrality classes. The systematic uncertainties are primarily from the mid-rapidity charged K/π spectra and rapidity-dependent RAA uncertainties. The muon yields from pion and kaon decays exhibit consistency across centrality classes in the pT range of 3–10 GeV/c. This study contributes to understanding hadronic interactions and decay kinematics in heavy-ion collisions, offering references for investigating pion and kaon decay channels and hot medium effects. Full article
Show Figures

Figure 1

10 pages, 399 KiB  
Article
Correlating the 0νββ-Decay Amplitudes of 136Xe with the Ordinary Muon Capture (OMC) Rates of 136Ba
by Aagrah Agnihotri, Vikas Kumar and Jouni Suhonen
Universe 2025, 11(5), 138; https://doi.org/10.3390/universe11050138 - 27 Apr 2025
Cited by 1 | Viewed by 378
Abstract
The potential correlation between the ordinary muon capture (OMC) on 136Ba and 0νββ decay of 136Xe is explored. For this, we compute 0νββ-decay amplitudes for intermediate states in 136Cs below 1 MeV of [...] Read more.
The potential correlation between the ordinary muon capture (OMC) on 136Ba and 0νββ decay of 136Xe is explored. For this, we compute 0νββ-decay amplitudes for intermediate states in 136Cs below 1 MeV of excitation and for angular-momentum values J5 by using the proton–neutron quasiparticle random-phase approximation (pnQRPA) and nuclear shell model (NSM). We compare these amplitudes with the corresponding OMC rates, computed in a previous Universe article (Universe 2023, 9, 270) for the same energy and angular-momentum ranges. The obtained results suggest that an extension of the present analysis to a wider energy and angular-momentum region could be highly beneficial for probing the 0νββ-decay nuclear matrix elements using experimental data on OMC rates to intermediate states of 0νββ decays. Full article
Show Figures

Figure 1

16 pages, 22205 KiB  
Article
Properties of Heavy Higgs Bosons and Dark Matter Under Current Experimental Limits in the μNMSSM
by Zhaoxia Heng, Xingjuan Li and Liangliang Shang
Universe 2025, 11(3), 103; https://doi.org/10.3390/universe11030103 - 20 Mar 2025
Cited by 3 | Viewed by 219
Abstract
Searches for new particles beyond the Standard Model (SM) are an important task for the Large Hadron Collider (LHC). In this paper, we investigate the properties of the heavy non-SM Higgs bosons in the μ-term extended Next-to-Minimal Supersymmetric Standard Model (μ [...] Read more.
Searches for new particles beyond the Standard Model (SM) are an important task for the Large Hadron Collider (LHC). In this paper, we investigate the properties of the heavy non-SM Higgs bosons in the μ-term extended Next-to-Minimal Supersymmetric Standard Model (μNMSSM). We scan the parameter space of the μNMSSM considering the basic constraints from Higgs data, dark matter (DM) relic density, and LHC searches for sparticles. And we also consider the constraints from the LZ2022 experiment and the muon anomaly constraint at the 2σ level. We find that the LZ2022 experiment has a strict constraint on the parameter space of the μNMSSM, and the limits from the DM-nucleon spin-independent (SI) and spin-dependent (SD) cross-sections are complementary. Then, we discuss the exotic decay modes of heavy Higgs bosons decaying into SM-like Higgs bosons. We find that for doublet-dominated Higgs h3 and A2, the main exotic decay channels are h3ZA1, h3h1h2, A2A1h1, and A2Zh2, and the branching ratio can reach to about 23%, 10%, 35%, and 10% respectively. Full article
(This article belongs to the Special Issue Search for New Physics Through Combined Approaches)
Show Figures

Figure 1

10 pages, 1338 KiB  
Article
Machine Learning Approach to Shield Optimization at Muon Collider
by Luca Castelli
Particles 2025, 8(1), 25; https://doi.org/10.3390/particles8010025 - 3 Mar 2025
Viewed by 577
Abstract
Muon collisions are considered a promising means for exploring the energy frontier, leading to a detailed study of the possible feasibility challenges. Beam intensities of the order of 1012 muons per bunch are needed to achieve the necessary luminosity, generating a high [...] Read more.
Muon collisions are considered a promising means for exploring the energy frontier, leading to a detailed study of the possible feasibility challenges. Beam intensities of the order of 1012 muons per bunch are needed to achieve the necessary luminosity, generating a high flux of secondary and tertiary particles from muons decay that reach both the machine elements and the detector region. To limit the impact of this background on the physics performance, tungsten shieldings have been studied. A machine learning-based approach to the geometry optimization of these shieldings will be discussed. Full article
Show Figures

Figure 1

15 pages, 2655 KiB  
Article
Strange Things in Bottom-to-Strange Decays: The Standard Model Turned Upside Down?
by Martin Andersson, Alexander Mclean Marshall, Konstantinos A. Petridis and Eluned Smith
Symmetry 2024, 16(6), 638; https://doi.org/10.3390/sym16060638 - 21 May 2024
Cited by 1 | Viewed by 1475
Abstract
The flavour anomalies are a set of experimental deviations from the Standard Model (SM) predictions in several observables involving decays of bottom quarks. In particular, tensions between theory and experiment in measurements involving a bottom quark decaying into a strange quark and a [...] Read more.
The flavour anomalies are a set of experimental deviations from the Standard Model (SM) predictions in several observables involving decays of bottom quarks. In particular, tensions between theory and experiment in measurements involving a bottom quark decaying into a strange quark and a pair of muons have motivated much theoretical work to explore possible new physics explanations. This review summarises the tumultuous evolution of these tensions, focusing on the most recent experimental results and their implications for physics beyond the SM. We also discuss the prospects for future measurements and tests of the flavour anomalies at the LHC and other facilities. Full article
(This article belongs to the Special Issue Symmetries and Anomalies in Flavour Physics)
Show Figures

Figure 1

20 pages, 2471 KiB  
Article
Interactions of Low-Energy Muons with Silicon: Numerical Simulation of Negative Muon Capture and Prospects for Soft Errors
by Jean-Luc Autran and Daniela Munteanu
J. Nucl. Eng. 2024, 5(1), 91-110; https://doi.org/10.3390/jne5010007 - 5 Mar 2024
Cited by 1 | Viewed by 2239
Abstract
In this paper, the interactions of low-energy muons (E < 10 MeV) with natural silicon, the basic material of microelectronics, are studied by Geant4 and SRIM simulation. The study is circumscribed to muons susceptible to slowdown/stop in the target and able to transfer [...] Read more.
In this paper, the interactions of low-energy muons (E < 10 MeV) with natural silicon, the basic material of microelectronics, are studied by Geant4 and SRIM simulation. The study is circumscribed to muons susceptible to slowdown/stop in the target and able to transfer sufficient energy to the semiconductor to create single events in silicon devices or related circuits. The capture of negative muons by silicon atoms is of particular interest, as the resulting nucleus evaporation and its effects can be catastrophic in terms of the emission of secondary ionizing particles ranging from protons to aluminum ions. We investigate in detail these different nuclear capture reactions in silicon and quantitatively evaluate their relative importance in terms of number of products, energy, linear energy transfer, and range distributions, as well as in terms of charge creation in silicon. Finally, consequences in the domain of soft errors in microelectronics are discussed. Full article
Show Figures

Graphical abstract

15 pages, 419 KiB  
Article
Integral Fluxes of Neutrinos and Gamma-Rays Emitted from Neighboring X-ray Binaries
by Odysseas Kosmas, Theodora Papavasileiou and Theocharis Kosmas
Universe 2023, 9(12), 517; https://doi.org/10.3390/universe9120517 - 15 Dec 2023
Cited by 4 | Viewed by 1985
Abstract
Astrophysical plasma ejections (jets) are formed and powered by black holes that accrete material from their companion star in binary systems. Black hole X-ray binary systems constitute potential powerful galactic and extragalactic neutrino and gamma-ray sources. After being accelerated to highly relativistic velocities [...] Read more.
Astrophysical plasma ejections (jets) are formed and powered by black holes that accrete material from their companion star in binary systems. Black hole X-ray binary systems constitute potential powerful galactic and extragalactic neutrino and gamma-ray sources. After being accelerated to highly relativistic velocities and subjected to various energy-consuming interactions, the lepto-hadronic content of the jets produces secondary particles such as pions and muons that decay to gamma-ray photons and neutrinos heading towards the Earth. In this work, we employ a jet emission model in order to predict the neutrino and gamma-ray integral fluxes emanating from some of the most investigated and prominent stellar black hole X-ray binary systems in the Milky Way, such as GRO J1655-40, Cygnus X-1, SS 433, and GRS 1915+105. For the sake of comparison, we also include an extragalactic system, namely, LMC X-1, located in the Large Magellanic Cloud. For the case of gamma-ray emissions, we also include absorption effects due to X-ray emission from the accretion disk and the black hole corona, as well as ultraviolet (UV) emission from the binary system’s companion star. Full article
Show Figures

Figure 1

5 pages, 5675 KiB  
Proceeding Paper
Status of the muEDM Experiment at PSI
by Kim Siang Khaw, Cheng Chen, Massimo Giovannozzi, Tianqi Hu, Meng Lv, Jun Kai Ng, Angela Papa, Philipp Schmidt-Wellenburg, Bastiano Vitali and Guan Ming Wong
Phys. Sci. Forum 2023, 8(1), 50; https://doi.org/10.3390/psf2023008050 - 4 Sep 2023
Cited by 2 | Viewed by 1579
Abstract
Permanent electric dipole moments (EDMs) are excellent probes of physics beyond the Standard Model, especially on new sources of CP violation. The muon EDM has recently attracted significant attention due to discrepancies in the magnetic anomaly of the muon, as well as potential [...] Read more.
Permanent electric dipole moments (EDMs) are excellent probes of physics beyond the Standard Model, especially on new sources of CP violation. The muon EDM has recently attracted significant attention due to discrepancies in the magnetic anomaly of the muon, as well as potential violations of lepton-flavor universality in B-meson decays. At the Paul Scherrer Institute in Switzerland, we have proposed a muon EDM search experiment employing the frozen-spin technique, where a radial electric field is exerted within a storage solenoid to cancel the muon’s anomalous spin precession. Consequently, the EDM signal can be inferred from the upstream-downstream asymmetry of the decay positron count versus time. The experiment is planned to take place in two phases, anticipating an annual statistical sensitivity of 3×1021e·cm for Phase I and 6×1023e·cm for Phase II. Going beyond 1021e·cm will enable us to probe various Standard Model extensions. Full article
(This article belongs to the Proceedings of The 23rd International Workshop on Neutrinos from Accelerators)
Show Figures

Figure 1

6 pages, 2717 KiB  
Proceeding Paper
DeeMe—Muon–Electron Conversion Search Experiment
by Kazuhiro Yamamoto
Phys. Sci. Forum 2023, 8(1), 39; https://doi.org/10.3390/psf2023008039 - 16 Aug 2023
Viewed by 1027
Abstract
This experiment to search for the one of the charged lepton flavor-violating processes, muon-electron conversion, DeeMe, is being conducted at the J-PARC MLF H-Line in Japan. This experiment utilizes a pulsed proton beam from the Rapid Cycling Synchrotron (RCS). A graphite target is [...] Read more.
This experiment to search for the one of the charged lepton flavor-violating processes, muon-electron conversion, DeeMe, is being conducted at the J-PARC MLF H-Line in Japan. This experiment utilizes a pulsed proton beam from the Rapid Cycling Synchrotron (RCS). A graphite target is bombarded with a pulsed proton beam, negative pion production and pion-in-flight-decay to negative muon; then, the creation of muonic atoms is caused in the same pion production target. A converted electron is expected to be emitted after 1 ∼ 2 micro second-delayed timing. And two-body reaction of the new process, μ+(A,Z)e+(A,Z), results in 105 MeV monoenergetic electron. Thus, 1 ∼ 2 micro second-delayed 105 MeV monoenergetic electron is a searched signal. Electrons around 105 MeV are transported by the H-Line and analyzed using the dipole magnet (0.4 T) and four multi-wire proportional chambers (MWPCs). However, the burst pulse reaching 108 charged particles/pulse attributable to the RCS pulse leads to significant dead time for the MWPC. Thus, the HV switching scheme is introduced to handle the prompt burst. The target single event sensitivity is 1013. The H-Line construction was completed, and commissioning went well. The overview of the experiment and the current status are described in this article. Full article
(This article belongs to the Proceedings of The 23rd International Workshop on Neutrinos from Accelerators)
Show Figures

Figure 1

6 pages, 1845 KiB  
Proceeding Paper
Searching for Charged Lepton Flavour Violation with Mu3e
by Ann-Kathrin Perrevoort
Phys. Sci. Forum 2023, 8(1), 30; https://doi.org/10.3390/psf2023008030 - 2 Aug 2023
Cited by 1 | Viewed by 1112
Abstract
The observation of lepton flavour violation (LFV) in the charged lepton sector would be an unambiguous sign of physics beyond the Standard Model (BSM), and thus, it is the channel of choice for many BSM searches. LFV searches in muon decays in particular [...] Read more.
The observation of lepton flavour violation (LFV) in the charged lepton sector would be an unambiguous sign of physics beyond the Standard Model (BSM), and thus, it is the channel of choice for many BSM searches. LFV searches in muon decays in particular benefit from the fact that muons can be easily produced at high rates. There is a global effort to search for LFV at high-intensity muon sources to which the upcoming Mu3e experiment at the Paul Scherrer Institute (PSI) will contribute. The Mu3e Collaboration aims to perform a background-free search for the LFV decay μ+e+ee+ with an unprecedented sensitivity in the order of 10−15 in the first phase of operation and 10−16 in the final phase—an improvement over the preceding SINDRUM experiment by four orders of magnitude. The high muon stopping rates and low momenta of the decay electrons make high demands on momentum and time resolution and on the data acquisition. The innovative experimental concept is based on a tracking detector built from novel ultra-thin silicon pixel sensors and scintillating fibres and tiles as well as online event reconstruction and filtering in real time. Full article
(This article belongs to the Proceedings of The 23rd International Workshop on Neutrinos from Accelerators)
Show Figures

Figure 1

11 pages, 414 KiB  
Article
A Proposed Application of Fractional Calculus on Time Dilation in Special Theory of Relativity
by Ebrahem A. Algehyne, Musaad S. Aldhabani, Mounirah Areshi, Essam R. El-Zahar, Abdelhalim Ebaid and Hind K. Al-Jeaid
Mathematics 2023, 11(15), 3343; https://doi.org/10.3390/math11153343 - 30 Jul 2023
Cited by 5 | Viewed by 2168
Abstract
Time dilation (TD) is a principal concept in the special theory of relativity (STR). The Einstein TD formula is the relation between the proper time t0 measured in a moving frame of reference with velocity v and the dilated time t measured [...] Read more.
Time dilation (TD) is a principal concept in the special theory of relativity (STR). The Einstein TD formula is the relation between the proper time t0 measured in a moving frame of reference with velocity v and the dilated time t measured by a stationary observer. In this paper, an integral approach is firstly presented to rededuce the Einstein TD formula. Then, the concept of TD is introduced and examined in view of the fractional calculus (FC) by means of the Caputo fractional derivative definition (CFD). In contrast to the explicit standard TD formula, it is found that the fractional TD (FTD) is governed by a transcendental equation in terms of the hyperbolic function and the fractional-order α. For small v compared with the speed of light c (i.e., vc), our results tend to Newtonian mechanics, i.e., tt0. For v comparable to c such as v=0.9994c, our numerical results are compared with the experimental ones for the TD of the muon particles μ+. Moreover, the influence of the arbitrary-order α on the FTD is analyzed. It is also declared that at a specific α, there is an agreement between the present theoretical results and the corresponding experimental ones for the muon particles μ+. Full article
Show Figures

Figure 1

6 pages, 555 KiB  
Proceeding Paper
A Monitored Neutrino Beam at the European Spallation Source
by Francesco Terranova, F. Acerbi, I. Angelis, L. Bomben, M. Bonesini, F. Bramati, A. Branca, C. Brizzolari, G. Brunetti, S. Capelli, S. Carturan, M. G. Catanesi, S. Cecchini, F. Cindolo, G. Cogo, G. Collazuol, F. Dal Corso, C. Delogu, G. De Rosa, A. Falcone, A. Gola, L. Halić, F. Iacob, C. Jollet, A. Kallitsopoulou, B. Klicek, Y. Kudenko, Ch. Lampoudis, M. Laveder, P. Legou, A. Longhin, L. Ludovici, E. Lutsenko, L. Magaletti, G. Mandrioli, A. Margotti, V. Mascagna, S. Marangoni, N. Mauri, L. Meazza, A. Meregaglia, M. Mezzetto, A. Paoloni, T. Papaevangelou, M. Pari, E. G. Parozzi, L. Pasqualini, G. Paternoster, L. Patrizii, M. Pozzato, M. Prest, F. Pupilli, E. Radicioni, A. C. Ruggeri, D. Sampsonidis, C. Scian, G. Sirri, M. Stipcevic, M. Tenti, M. Torti, S. E. Tzamarias, E. Vallazza and L. Votanoadd Show full author list remove Hide full author list
Phys. Sci. Forum 2023, 8(1), 24; https://doi.org/10.3390/psf2023008024 - 25 Jul 2023
Cited by 1 | Viewed by 1312
Abstract
Monitored neutrino beams are facilities where beam diagnostics enable the counting and identification of charged leptons in the decay tunnel of a narrow band beam. These facilities can monitor neutrino production at the single particle level (flux precision <1%) and provide [...] Read more.
Monitored neutrino beams are facilities where beam diagnostics enable the counting and identification of charged leptons in the decay tunnel of a narrow band beam. These facilities can monitor neutrino production at the single particle level (flux precision <1%) and provide information about the neutrino energy at the 10% level. The ENUBET Collaboration has demonstrated that lepton monitoring might be achieved not only by employing kaon decays but also by identifying muons from the π+μ+νμ decays and positrons from the decay-in-flight of muons before the hadron dump. As a consequence, beam monitoring can be performed using the ENUBET technique even when the kaon production yield is kinematically suppressed. This finding opens up a wealth of opportunities for measuring neutrino cross-sections below 1 GeV. In this paper, we investigate this opportunity at the European Spallation Source (ESS), which is an ideal facility to measure νμ and νe cross-sections in the 0.2–1 GeV range. We also describe the planned activities for the design of this beam at the ESS within the framework of the ESSνSB+ design study, which was approved by the EU in July 2022. Full article
(This article belongs to the Proceedings of The 23rd International Workshop on Neutrinos from Accelerators)
Show Figures

Figure 1

5 pages, 4821 KiB  
Proceeding Paper
The ENUBET Monitored Neutrino Beam for High Precision Cross-Section Measurements
by C.C. Delogu, F. Acerbi, I. Angelis, L. Bomben, M. Bonesini, F. Bramati, A. Branca, C. Brizzolari, G. Brunetti, M. Calviani, S. Capelli, S. Carturan, M.G. Catanesi, S. Cecchini, N. Charitonidis, F. Cindolo, G. Cogo, G. Collazuol, F. Dal Corso, G. De Rosa, A. Falcone, B. Goddard, A. Gola, L. Halić, F. Iacob, C. Jollet, V. Kain, A. Kallitsopoulou, B. Klicek, Y. Kudenko, Ch. Lampoudis, M. Laveder, P. Legou, A. Longhin, L. Ludovici, E. Lutsenko, L. Magaletti, G. Mandrioli, S. Marangoni, A. Margotti, V. Mascagna, N. Mauri, L. Meazza, A. Meregaglia, M. Mezzetto, M. Nessi, A. Paoloni, M. Pari, T. Papaevangelou, E.G. Parozzi, L. Pasqualini, G. Paternoster, L. Patrizii, M. Pozzato, M. Prest, F. Pupilli, E. Radicioni, A.C. Ruggeri, D. Sampsonidis, C. Scian, G. Sirri, M. Stipcevic, M. Tenti, F. Terranova, M. Torti, S.E. Tzamarias, E. Vallazza, F. Velotti and L. Votanoadd Show full author list remove Hide full author list
Phys. Sci. Forum 2023, 8(1), 8; https://doi.org/10.3390/psf2023008008 - 30 Jun 2023
Viewed by 1036
Abstract
The main source of systematic uncertainty on neutrino cross-section measurements at the GeV scale originates from the poor knowledge of the initial flux. The goal of reducing this uncertainty to 1% can be achieved through the monitoring of charged leptons produced in association [...] Read more.
The main source of systematic uncertainty on neutrino cross-section measurements at the GeV scale originates from the poor knowledge of the initial flux. The goal of reducing this uncertainty to 1% can be achieved through the monitoring of charged leptons produced in association with neutrinos, by properly instrumenting the decay region of a conventional narrow-band neutrino beam. Large-angle muons and positrons from kaons are measured by a sampling calorimeter on the decay tunnel walls, while muon stations after the hadron dump can be used to monitor the neutrino component from pion decays. Furthermore, the narrow momentum width (<10%) of the beam provides a O (10%) measurement of the neutrino energy on an event-by-event basis, thanks to its correlation with the radial position of the interaction at the neutrino detector. The ENUBET project has been funded by the ERC in 2016 to prove the feasibility of such a monitored neutrino beam and, since 2019, ENUBET is also a CERN neutrino platform experiment (NP06/ENUBET). The breakthrough the project achieved is the design of a horn-less neutrino beamline that would allow for a 1% measurement of νe and νμ cross-sections in about 3 years of data taking at CERN-SPS, using ProtoDUNE as far detector. Full article
(This article belongs to the Proceedings of The 23rd International Workshop on Neutrinos from Accelerators)
Show Figures

Figure 1

13 pages, 613 KiB  
Article
Ordinary Muon Capture on 136Ba: Comparative Study Using the Shell Model and pnQRPA
by Patricia Gimeno, Lotta Jokiniemi, Jenni Kotila, Marlom Ramalho and Jouni Suhonen
Universe 2023, 9(6), 270; https://doi.org/10.3390/universe9060270 - 5 Jun 2023
Cited by 12 | Viewed by 1806
Abstract
In this work, we present a study of ordinary muon capture (OMC) on 136Ba, the daughter nucleus of 136Xe double beta decay (DBD). The OMC rates at low-lying nuclear states (below 1 MeV of excitation energy) in 136Cs are assessed [...] Read more.
In this work, we present a study of ordinary muon capture (OMC) on 136Ba, the daughter nucleus of 136Xe double beta decay (DBD). The OMC rates at low-lying nuclear states (below 1 MeV of excitation energy) in 136Cs are assessed by using both the interacting shell model (ISM) and proton–neutron quasiparticle random-phase approximation (pnQRPA). We also add chiral two-body (2BC) meson-exchange currents and use an exact Dirac wave function for the captured s-orbital muon. OMC can be viewed as a complementary probe of the wave functions in 136Cs, the intermediate nucleus of the 136Xe DBD. At the same time, OMC can be considered a powerful probe of the effective values of weak axial-type couplings in a 100 MeV momentum exchange region, which is relevant for neutrinoless DBD. The present work represents the first attempt to compare the ISM and pnQRPA results for OMC on a heavy nucleus while also including the exact muon wave function and the 2BC. The sensitivity estimates of the current and future neutrinoless DBD experiments will clearly benefit from future OMC measurements taken using OMC calculations similar to the one presented here. Full article
Show Figures

Figure 1

11 pages, 1784 KiB  
Article
Mathematical Physics of Time Dilation through Curved Trajectories with Applications
by Ayman Kamel, Abdelhalim Ebaid, Essam R. El-Zahar, Riadh Chteoui and Laila F. Seddek
Mathematics 2023, 11(10), 2402; https://doi.org/10.3390/math11102402 - 22 May 2023
Cited by 1 | Viewed by 4859
Abstract
In special relativity, the time dilation formula has been obtained by particles propagation in a straight line trajectory relative to an observer in motion. Up to now, there are no available formulas for other possible trajectories of particles. However, this paper obtains formulas [...] Read more.
In special relativity, the time dilation formula has been obtained by particles propagation in a straight line trajectory relative to an observer in motion. Up to now, there are no available formulas for other possible trajectories of particles. However, this paper obtains formulas of time dilation for several trajectories of particle such as parabolic, elliptic, and circular and finds a relatively accurate trajectory. The obtained formulas are employed in order to analyze the time dilation of the muon particles decay. In this paper, it is found that the time dilation of the parabolic and the elliptical trajectories exceed the corresponding results utilizing the standard Lorentz-Einstein time dilation formula. Consequently, if we are able to control the trajectory of unstable particles by some external forces, then their life-times might be increased. Probably, the increase in lifetime via a curved trajectory occurs at lower relative velocity & acceleration energy if compared to the straight line trajectory. In addition, the circular trajectory leads to multiple values of time dilation at certain velocities of an observer in motion, which may give an interpretation of fluctuations of time dilation in quantum mechanics. The result arises from the present relatively accurate formula of time dilation that is very close to the experimental data of muon decay (CERN experiment) when it is compared to the result obtained by the Lorentz-Einstein formula. Finally, it may be concluded that the time dilation not only depends on relative velocity and acceleration energy of particles but also on curved trajectories. The present work may attract other researchers to study different trajectories. Full article
Show Figures

Figure 1

Back to TopTop