Pub Date : 2022-12-13DOI: 10.5506/APhysPolB.54.4-A3
H. Minakata
A new picture ``one-resonance - one-symmetry'' has been proposed recently to reveal nature of the reparametrization symmetry in neutrino oscillation in matter and where it resides: Symmetry of $i leftrightarrow j$ state-exchange type exists at around a resonance with $i$ and $j$ being the states which participate in the level crossing. Consistently, the 1-2 and 1-3 state exchange symmetries are identified at around the solar and atmospheric resonances, respectively, in the locally-valid frameworks. On the other hand, the Denton {it et al.} (DMP) perturbation theory, a globally-valid framework, has the 1-2 exchange symmetry which is akin to the one in the aforementioned solar-resonance perturbation (SRP) theory. In our picture, the symmetry must be associated with the resonance, not the framework, and if so these two 1-2 symmetries must be identical to each other. We conduct a comparative study of the 1-2 symmetries possessed by SRP and DMP to confirm their identity. An almost identity is verified, but in a highly nontrivial way.
{"title":"Comparative Study of the 1–2 Exchange Symmetries in Neutrino Frameworks with Global and Local Validities","authors":"H. Minakata","doi":"10.5506/APhysPolB.54.4-A3","DOIUrl":"https://doi.org/10.5506/APhysPolB.54.4-A3","url":null,"abstract":"A new picture ``one-resonance - one-symmetry'' has been proposed recently to reveal nature of the reparametrization symmetry in neutrino oscillation in matter and where it resides: Symmetry of $i leftrightarrow j$ state-exchange type exists at around a resonance with $i$ and $j$ being the states which participate in the level crossing. Consistently, the 1-2 and 1-3 state exchange symmetries are identified at around the solar and atmospheric resonances, respectively, in the locally-valid frameworks. On the other hand, the Denton {it et al.} (DMP) perturbation theory, a globally-valid framework, has the 1-2 exchange symmetry which is akin to the one in the aforementioned solar-resonance perturbation (SRP) theory. In our picture, the symmetry must be associated with the resonance, not the framework, and if so these two 1-2 symmetries must be identical to each other. We conduct a comparative study of the 1-2 symmetries possessed by SRP and DMP to confirm their identity. An almost identity is verified, but in a highly nontrivial way.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46139530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-21DOI: 10.5506/aphyspolb.53.11-a2
S. Ennadifi
Motivated by the growing interest in the existence of new massive gauge bosons, we suggest that massive dark photons A ′ can be a consequence of a broken new abelian symmetry U ( 1 ) ′ X . Such a dark symmetry U ( 1 ) ′ D is afterwards supposed to be associated with the conservation of the weak number W belonging to the Weakling Interacting Slim Particles U ( 1 ) W , being a strong candidate for Hot Dark Matter. The latters correspond then to light dark photons m ′ A . keV from a weak symmetry breaking scale & 10 keV .
{"title":"Massive Dark Photons as Hot Dark Matter","authors":"S. Ennadifi","doi":"10.5506/aphyspolb.53.11-a2","DOIUrl":"https://doi.org/10.5506/aphyspolb.53.11-a2","url":null,"abstract":"Motivated by the growing interest in the existence of new massive gauge bosons, we suggest that massive dark photons A ′ can be a consequence of a broken new abelian symmetry U ( 1 ) ′ X . Such a dark symmetry U ( 1 ) ′ D is afterwards supposed to be associated with the conservation of the weak number W belonging to the Weakling Interacting Slim Particles U ( 1 ) W , being a strong candidate for Hot Dark Matter. The latters correspond then to light dark photons m ′ A . keV from a weak symmetry breaking scale & 10 keV .","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44902968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-08DOI: 10.5506/aphyspolb.53.10-a4
Xue-Chao Feng, K. Wei, Jie Wu, Xue Zhen Zhai, ShiZhuo Wang
In this work, we investigate the mass spectrum of $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the framework of the meson mass matrix and Regge phenomenology. The results are compared with the values from different phenomenological models and may be useful for the assignment of the $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the future.
{"title":"Towards the Assignments for (1^{1}D_{2}) and (1^{3}D_{2}) Meson Nonets","authors":"Xue-Chao Feng, K. Wei, Jie Wu, Xue Zhen Zhai, ShiZhuo Wang","doi":"10.5506/aphyspolb.53.10-a4","DOIUrl":"https://doi.org/10.5506/aphyspolb.53.10-a4","url":null,"abstract":"In this work, we investigate the mass spectrum of $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the framework of the meson mass matrix and Regge phenomenology. The results are compared with the values from different phenomenological models and may be useful for the assignment of the $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the future.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49523312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-14DOI: 10.5506/aphyspolb.53.10-a2
B. Mohammadi, Elnaz Amirkhanlou
The most precise measurement of the $CP$ asymmetry in the decay $B^-rightarrow D_s^-D^0$ has been reported by LHCb collaboration with the value of $(-0.4pm0.5pm0.5)%$. In this study, the $CP$ violation in the decay $B^-rightarrow D_s^-D^0$ has been calculated under the factorization approach. This decay mode includes current-current tree and penguin diagrams and their amplitudes are considered separately. In each of the tree and penguin amplitudes, the strong and weak phases have been introduced. The $CP$ asymmetry has been calculated in this work to be $(-0.35pm0.03)%$. Finally, from the sum of the amplitudes, we have calculated the total amplitude and obtained comparable results with experimental value for the branching ratio of $B^-rightarrow D_s^-D^0$ decay.
{"title":"Calculation of Branching Fraction and CP Violation in (B^-rightarrow D_s^-D^0) Decay","authors":"B. Mohammadi, Elnaz Amirkhanlou","doi":"10.5506/aphyspolb.53.10-a2","DOIUrl":"https://doi.org/10.5506/aphyspolb.53.10-a2","url":null,"abstract":"The most precise measurement of the $CP$ asymmetry in the decay $B^-rightarrow D_s^-D^0$ has been reported by LHCb collaboration with the value of $(-0.4pm0.5pm0.5)%$. In this study, the $CP$ violation in the decay $B^-rightarrow D_s^-D^0$ has been calculated under the factorization approach. This decay mode includes current-current tree and penguin diagrams and their amplitudes are considered separately. In each of the tree and penguin amplitudes, the strong and weak phases have been introduced. The $CP$ asymmetry has been calculated in this work to be $(-0.35pm0.03)%$. Finally, from the sum of the amplitudes, we have calculated the total amplitude and obtained comparable results with experimental value for the branching ratio of $B^-rightarrow D_s^-D^0$ decay.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42876179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-29DOI: 10.5506/APhysPolB.53.9-A1
A. Herdegen
The purpose of this note is threefold: (i) to recall (with some points made more explicit) the mathematical Weyl algebra model formulation, given before, of the Staruszkiewicz theory of quantum Coulomb field; (ii) to add some new elements to the discussion of the representation of the Lorentz group within this model; (iii) to comment on some statements on the structure of the theory which appeared recently.
{"title":"Remarks on Mathematical Structure of the Staruszkiewicz Theory","authors":"A. Herdegen","doi":"10.5506/APhysPolB.53.9-A1","DOIUrl":"https://doi.org/10.5506/APhysPolB.53.9-A1","url":null,"abstract":"The purpose of this note is threefold: (i) to recall (with some points made more explicit) the mathematical Weyl algebra model formulation, given before, of the Staruszkiewicz theory of quantum Coulomb field; (ii) to add some new elements to the discussion of the representation of the Lorentz group within this model; (iii) to comment on some statements on the structure of the theory which appeared recently.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44112889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-22DOI: 10.5506/aphyspolb.54.2-a1
Andrzej Krasi'nski
This paper compares three criteria for a spacetime to be free of position drift: those by Hasse and Perlick (HP), Krasi'nski and Bolejko (KB) and Korzy'nski and Kopi'nski (KK). A spacetime having no position drift means that every observer sees all light sources in unchanging directions. The following is shown: (1) The HP criterion is a necessary condition for the KK criterion to apply. (2) If the spacetime metric obeys the Einstein equations with a perfect fluid source, then another necessary condition for the KK criterion is the Weyl tensor being zero. (3) Result (2) points to the Stephani metric, so it is shown that this metric obeys an equation which is still one more necessary condition for the KK criterion. (4) The general Szekeres metrics become drift-free by the KK criterion only in the Friedmann limit. (5) The HP and KB criteria coincide, and the HP zero-drift condition imposes on the Stephani metric the same restriction as found by Krasi'nski and Bolejko (KB). The relations between the three criteria are displayed and compared in a diagram.
{"title":"Spacetimes with No Position Drift","authors":"Andrzej Krasi'nski","doi":"10.5506/aphyspolb.54.2-a1","DOIUrl":"https://doi.org/10.5506/aphyspolb.54.2-a1","url":null,"abstract":"This paper compares three criteria for a spacetime to be free of position drift: those by Hasse and Perlick (HP), Krasi'nski and Bolejko (KB) and Korzy'nski and Kopi'nski (KK). A spacetime having no position drift means that every observer sees all light sources in unchanging directions. The following is shown: (1) The HP criterion is a necessary condition for the KK criterion to apply. (2) If the spacetime metric obeys the Einstein equations with a perfect fluid source, then another necessary condition for the KK criterion is the Weyl tensor being zero. (3) Result (2) points to the Stephani metric, so it is shown that this metric obeys an equation which is still one more necessary condition for the KK criterion. (4) The general Szekeres metrics become drift-free by the KK criterion only in the Friedmann limit. (5) The HP and KB criteria coincide, and the HP zero-drift condition imposes on the Stephani metric the same restriction as found by Krasi'nski and Bolejko (KB). The relations between the three criteria are displayed and compared in a diagram.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42403164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-13DOI: 10.5506/APhysPolB.54.6-A1
H. Minakata
Recently we have developed a method called ``Symmetry Finder'' (SF) for hunting the reparametrization symmetry in the three-neutrino system in matter. Here, we apply SF to the Denton {it et al.} (DMP) perturbation theory extended by including unitarity violation (UV), a possible low-energy manifestation of physics beyond the $nu$SM. Implementation of UV into the SF framework yields the additional two very different constraints, which nonetheless allow remarkably consistent solutions, the eight DMP-UV symmetries. Treatment of one of the constraints, the genuine non-unitary part, leads to the key identity which entails the UV $alpha$ parameter transformation only by rephasing, which innovates the invariance proof of the Hamiltonian. The quantum mechanical nature of the symmetry dictates the both $nu$SM and UV variables to transform jointly, through which the response of the two sectors are related to reveal their interplay. Thus, the symmetry can serve for a tool for diagnostics, probing the interrelation between the $nu$SM and a low-energy description of new physics. Problem of SF symmetry in vacuum is revisited to complete eight symmetries akin to DMP's.
{"title":"Symmetry in Neutrino Oscillation in Matter with Non-unitarity","authors":"H. Minakata","doi":"10.5506/APhysPolB.54.6-A1","DOIUrl":"https://doi.org/10.5506/APhysPolB.54.6-A1","url":null,"abstract":"Recently we have developed a method called ``Symmetry Finder'' (SF) for hunting the reparametrization symmetry in the three-neutrino system in matter. Here, we apply SF to the Denton {it et al.} (DMP) perturbation theory extended by including unitarity violation (UV), a possible low-energy manifestation of physics beyond the $nu$SM. Implementation of UV into the SF framework yields the additional two very different constraints, which nonetheless allow remarkably consistent solutions, the eight DMP-UV symmetries. Treatment of one of the constraints, the genuine non-unitary part, leads to the key identity which entails the UV $alpha$ parameter transformation only by rephasing, which innovates the invariance proof of the Hamiltonian. The quantum mechanical nature of the symmetry dictates the both $nu$SM and UV variables to transform jointly, through which the response of the two sectors are related to reveal their interplay. Thus, the symmetry can serve for a tool for diagnostics, probing the interrelation between the $nu$SM and a low-energy description of new physics. Problem of SF symmetry in vacuum is revisited to complete eight symmetries akin to DMP's.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46792783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-02DOI: 10.5506/APhysPolB.53.8-A2
M. Gazdzicki, M. Gorenstein, I. Pidhurskyi, O. Savchuk, L. Tinti
Experiments motivated by predictions of quantum mechanics indicate non-trivial correlations between spacelike-separated measurements. The phenomenon is referred to as a violation of strong-locality and, after Einstein, called ghostly action at a distance. An intriguing and previously unasked question is how the evolution of an assembly of particles to equilibrium-state relates to strong-locality. More specifically, whether, with this respect, indistinguishable particles differ from distinguishable ones. To address the question, we introduce a Markov-chain based framework over a finite set of microstates. For the first time, we formulate conditions needed to obey the particle transport- and strong-locality for indistinguishable particles. Models which obey transport-locality and lead to equilibrium-state are considered. We show that it is possible to construct models obeying and violating strong-locality both for indistinguishable particles and for distinguishable ones. However, we find that only for distinguishable particles strongly-local evolution to equilibrium is possible without breaking the microstate-symmetry. This is the strongest symmetry one can impose and leads to the shortest equilibration time. We hope that the results presented here may provide a new perspective on a violation of strong-locality, and the developed framework will help in future studies. Specifically they may help to interpret results on high-energy nuclear collisions indicating a fast equilibration of indistinguishable particles.
{"title":"Equilibration and Locality","authors":"M. Gazdzicki, M. Gorenstein, I. Pidhurskyi, O. Savchuk, L. Tinti","doi":"10.5506/APhysPolB.53.8-A2","DOIUrl":"https://doi.org/10.5506/APhysPolB.53.8-A2","url":null,"abstract":"Experiments motivated by predictions of quantum mechanics indicate non-trivial correlations between spacelike-separated measurements. The phenomenon is referred to as a violation of strong-locality and, after Einstein, called ghostly action at a distance. An intriguing and previously unasked question is how the evolution of an assembly of particles to equilibrium-state relates to strong-locality. More specifically, whether, with this respect, indistinguishable particles differ from distinguishable ones. To address the question, we introduce a Markov-chain based framework over a finite set of microstates. For the first time, we formulate conditions needed to obey the particle transport- and strong-locality for indistinguishable particles. Models which obey transport-locality and lead to equilibrium-state are considered. We show that it is possible to construct models obeying and violating strong-locality both for indistinguishable particles and for distinguishable ones. However, we find that only for distinguishable particles strongly-local evolution to equilibrium is possible without breaking the microstate-symmetry. This is the strongest symmetry one can impose and leads to the shortest equilibration time. We hope that the results presented here may provide a new perspective on a violation of strong-locality, and the developed framework will help in future studies. Specifically they may help to interpret results on high-energy nuclear collisions indicating a fast equilibration of indistinguishable particles.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46711200","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-27DOI: 10.5506/APhysPolB.54.2-A2
Maciej Rybczy'nski, Z. Włodarczyk
The initial time-dependence of a state in circumstances where it makes transitions to, or decay to, a second state has been investigated. In classical stochastic processes, the observed time dependence of transition or decay proportional to $t^2$ is attributed to the noise with memory. In contrast to quantum mechanics, the quadratic form of initial decay is unable to decelerate the evolution of the system.
{"title":"Non-exponential Decay in Classical Stochastic Processes with Memory","authors":"Maciej Rybczy'nski, Z. Włodarczyk","doi":"10.5506/APhysPolB.54.2-A2","DOIUrl":"https://doi.org/10.5506/APhysPolB.54.2-A2","url":null,"abstract":"The initial time-dependence of a state in circumstances where it makes transitions to, or decay to, a second state has been investigated. In classical stochastic processes, the observed time dependence of transition or decay proportional to $t^2$ is attributed to the noise with memory. In contrast to quantum mechanics, the quadratic form of initial decay is unable to decelerate the evolution of the system.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43176041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-11DOI: 10.5506/APhysPolB.53.6-A3
Xue-Chao Feng, K. Wei
Based on the relations from the meson-meson mass mixing matrix, the mixing angles of isoscalar state have been re-evaluated via mass relations and latest experimental results. The results in the present work are compared with the values from different theoretical models, meanwhile, the quarkonia content of isoscalar state are presented. In order to check the validity of analysis, some predictions on the decays of the isoscalar state are presented. These predictions may be useful for the phenomenological analysis for meson nonet in future experiments.
{"title":"Re-evaluation of the Isoscalar Mixing Angle within Selected Mesonic Nonets","authors":"Xue-Chao Feng, K. Wei","doi":"10.5506/APhysPolB.53.6-A3","DOIUrl":"https://doi.org/10.5506/APhysPolB.53.6-A3","url":null,"abstract":"Based on the relations from the meson-meson mass mixing matrix, the mixing angles of isoscalar state have been re-evaluated via mass relations and latest experimental results. The results in the present work are compared with the values from different theoretical models, meanwhile, the quarkonia content of isoscalar state are presented. In order to check the validity of analysis, some predictions on the decays of the isoscalar state are presented. These predictions may be useful for the phenomenological analysis for meson nonet in future experiments.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48917481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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