Pub Date : 2025-02-06DOI: 10.1016/j.nuclphysb.2025.116824
Pavlos Kassotakis , Theodoros Kouloukas , Maciej Nieszporski
We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations can be reinterpreted as difference systems defined on the graph and this reinterpretation relates (unifies) the linear and the non-linear approach of discrete analytic functions.
{"title":"Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions","authors":"Pavlos Kassotakis , Theodoros Kouloukas , Maciej Nieszporski","doi":"10.1016/j.nuclphysb.2025.116824","DOIUrl":"10.1016/j.nuclphysb.2025.116824","url":null,"abstract":"<div><div>We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations can be reinterpreted as difference systems defined on the <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> graph and this reinterpretation relates (unifies) the linear and the non-linear approach of discrete analytic functions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116824"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143377408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-05DOI: 10.1016/j.nuclphysb.2025.116827
Omar Mustafa
We investigate the Klein-Gordon (KG) oscillators in a global monopole (GM) spacetime in Eddington-inspired Born-Infeld (EiBI) gravity and a Wu-Yang magnetic monopole (WYMM). We discuss the gravitational effects in the presence of Ricci scalar curvature . It is observed that the presence of the Ricci scalar curvature, effectively and manifestly, introduces a force field that makes the corresponding quantum mechanical repulsive core more repulsive. Similar effect is also observed for the EiBI-gravitational field. We reiterate and report that the corresponding bosonic KG-oscillator quantum mechanical system admits a solution in the form of confluent Heun functions, the truncation of which into a physically admissible polynomial is shown to be associated with some parametric correlations/conditions. The use of such conditions/correlations is mandatory and yields a set of allowed/restricted quantum mechanical orbital ℓ-excitations, for all radial quantum numbers . Our procedure is shown to be quite handy, in the sense that it allows one to retrieve results for KG-oscillators in GM-spacetime in different EiBI-gravity and Ricci scalar curvature settings.
{"title":"KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects","authors":"Omar Mustafa","doi":"10.1016/j.nuclphysb.2025.116827","DOIUrl":"10.1016/j.nuclphysb.2025.116827","url":null,"abstract":"<div><div>We investigate the Klein-Gordon (KG) oscillators in a global monopole (GM) spacetime in Eddington-inspired Born-Infeld (EiBI) gravity and a Wu-Yang magnetic monopole (WYMM). We discuss the gravitational effects in the presence of Ricci scalar curvature <span><math><mi>R</mi><mo>=</mo><msubsup><mrow><mi>R</mi></mrow><mrow><mi>υ</mi></mrow><mrow><mi>υ</mi></mrow></msubsup></math></span>. It is observed that the presence of the Ricci scalar curvature, effectively and manifestly, introduces a force field that makes the corresponding quantum mechanical repulsive core more repulsive. Similar effect is also observed for the EiBI-gravitational field. We reiterate and report that the corresponding bosonic KG-oscillator quantum mechanical system admits a solution in the form of confluent Heun functions, the truncation of which into a physically admissible polynomial is shown to be associated with some parametric correlations/conditions. The use of such conditions/correlations is mandatory and yields a set of allowed/restricted quantum mechanical orbital <em>ℓ</em>-excitations, for all radial quantum numbers <span><math><msub><mrow><mi>n</mi></mrow><mrow><mi>r</mi></mrow></msub><mo>≥</mo><mn>0</mn></math></span>. Our procedure is shown to be quite handy, in the sense that it allows one to retrieve results for KG-oscillators in GM-spacetime in different EiBI-gravity and Ricci scalar curvature settings.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116827"},"PeriodicalIF":2.5,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143242259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-05DOI: 10.1016/j.nuclphysb.2025.116826
Huizhan Chen
The super BKP (SBKP) hierarchy in fermionic picture is constructed by embedding tensor product of infinite-dimensional Lie superalgebra of type B and Grassmann algebra into Clifford superalgebra. On the basis of bosonic counterpart, we construct the super Baker functions of the SBKP hierarchy and give a bilinear identity represented by it. The super differential operator is introduced and the bilinear identity in terms of the super pseudo-differential operator is shown. Finally, the solutions of non group orbits in the super fermionic Fock space are discussed.
{"title":"The super BKP hierarchy from Clifford super module","authors":"Huizhan Chen","doi":"10.1016/j.nuclphysb.2025.116826","DOIUrl":"10.1016/j.nuclphysb.2025.116826","url":null,"abstract":"<div><div>The super BKP (SBKP) hierarchy in fermionic picture is constructed by embedding tensor product of infinite-dimensional Lie superalgebra of type B and Grassmann algebra into Clifford superalgebra. On the basis of bosonic counterpart, we construct the super Baker functions of the SBKP hierarchy and give a bilinear identity represented by it. The super differential operator is introduced and the bilinear identity in terms of the super pseudo-differential operator is shown. Finally, the solutions of non group orbits in the super fermionic Fock space are discussed.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116826"},"PeriodicalIF":2.5,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143242299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-05DOI: 10.1016/j.nuclphysb.2025.116829
Gordon Baym, Jen-Chieh Peng
We re-introduce, in light of our modern understanding of neutrinos, the concept of “macroscopic neutrinoless double beta decay” (MDBD) for Majorana neutrinos. In this process an antineutrino produced by a nucleus undergoing beta decay, , is absorbed as a neutrino by another identical X nucleus via the inverse beta decay reaction, . The distinct signature of MDBD is that the total kinetic energy of the two electrons equals twice the endpoint energy of single beta decay. The amplitude for MDBD, a coherent sum over the contribution of different mass states of the intermediate neutrinos, reflects quantum coherence over macroscopic distances, and is a new macroscopic quantum effect. We evaluate the rate of MDBD for a macroscopic sample of “X” material, e.g., tritium, acting both as the source and the target. The accidental background for MDBD originating from two separate single beta decays, which contains two final state neutrinos, can be readily rejected by measuring the energy of the detected two electrons. We discuss the similarities and differences between the MDBD and conventional neutrinoless double beta decay. While MDBD is clearly not a viable replacement for traditional 0νDBD experiments, analysis of the concept of MDBD offers new perspectives on the physics of neutrinoless double beta decays.
{"title":"Macroscopic neutrinoless double beta decay: Long range quantum coherence","authors":"Gordon Baym, Jen-Chieh Peng","doi":"10.1016/j.nuclphysb.2025.116829","DOIUrl":"10.1016/j.nuclphysb.2025.116829","url":null,"abstract":"<div><div>We re-introduce, in light of our modern understanding of neutrinos, the concept of “macroscopic neutrinoless double beta decay” (MDBD) for Majorana neutrinos. In this process an antineutrino produced by a nucleus undergoing beta decay, <span><math><mi>X</mi><mo>→</mo><mi>Y</mi><mo>+</mo><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>+</mo><msub><mrow><mover><mrow><mi>ν</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow><mrow><mi>e</mi></mrow></msub></math></span>, is absorbed as a neutrino by another identical <em>X</em> nucleus via the inverse beta decay reaction, <span><math><msub><mrow><mi>ν</mi></mrow><mrow><mi>e</mi></mrow></msub><mo>+</mo><mi>X</mi><mo>→</mo><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>+</mo><mi>Y</mi></math></span>. The distinct signature of MDBD is that the total kinetic energy of the two electrons equals twice the endpoint energy of single beta decay. The amplitude for MDBD, a coherent sum over the contribution of different mass states of the intermediate neutrinos, reflects quantum coherence over macroscopic distances, and is a new macroscopic quantum effect. We evaluate the rate of MDBD for a macroscopic sample of “<em>X</em>” material, e.g., tritium, acting both as the source and the target. The accidental background for MDBD originating from two separate single beta decays, which contains two final state neutrinos, can be readily rejected by measuring the energy of the detected two electrons. We discuss the similarities and differences between the MDBD and conventional neutrinoless double beta decay. While MDBD is clearly not a viable replacement for traditional 0<em>ν</em>DBD experiments, analysis of the concept of MDBD offers new perspectives on the physics of neutrinoless double beta decays.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116829"},"PeriodicalIF":2.5,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143242452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-04DOI: 10.1016/j.nuclphysb.2025.116815
Raghav G. Jha
The circuit complexity for Hamiltonian simulation of the sparsified SYK model with N Majorana fermions and (quartic interactions), which retains holographic features (referred to as ‘minimal holographic sparsified SYK’) with (where k is the total number of interaction terms times 1/N) using the second-order Trotter method and Jordan-Wigner encoding is found to be where t is the simulation time, ε is the desired error in the implementation of the unitary measured by the operator norm, is the disorder strength, and constant . This complexity implies that with less than a hundred logical qubits and about 106 gates, it might be possible to achieve an advantage in this model and simulate real-time dynamics.
{"title":"Hamiltonian simulation of minimal holographic sparsified SYK model","authors":"Raghav G. Jha","doi":"10.1016/j.nuclphysb.2025.116815","DOIUrl":"10.1016/j.nuclphysb.2025.116815","url":null,"abstract":"<div><div>The circuit complexity for Hamiltonian simulation of the sparsified SYK model with <em>N</em> Majorana fermions and <span><math><mi>q</mi><mo>=</mo><mn>4</mn></math></span> (quartic interactions), which retains holographic features (referred to as ‘minimal holographic sparsified SYK’) with <span><math><mi>k</mi><mo>≪</mo><msup><mrow><mi>N</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>/</mo><mn>24</mn></math></span> (where <em>k</em> is the total number of interaction terms times 1/<em>N</em>) using the second-order Trotter method and Jordan-Wigner encoding is found to be <span><math><mover><mrow><mi>O</mi></mrow><mrow><mo>˜</mo></mrow></mover><mo>(</mo><msup><mrow><mi>k</mi></mrow><mrow><mi>α</mi></mrow></msup><msup><mrow><mi>N</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msup><mi>log</mi><mo></mo><mi>N</mi><msup><mrow><mo>(</mo><mi>J</mi><mi>t</mi><mo>)</mo></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msup><msup><mrow><mi>ε</mi></mrow><mrow><mo>−</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><mo>)</mo></math></span> where <em>t</em> is the simulation time, <em>ε</em> is the desired error in the implementation of the unitary <span><math><mi>U</mi><mo>=</mo><mi>exp</mi><mo></mo><mo>(</mo><mo>−</mo><mi>i</mi><mi>H</mi><mi>t</mi><mo>)</mo></math></span> measured by the operator norm, <span><math><mi>J</mi></math></span> is the disorder strength, and constant <span><math><mi>α</mi><mo><</mo><mn>1</mn></math></span>. This complexity implies that with less than a hundred logical qubits and about 10<sup>6</sup> gates, it might be possible to achieve an advantage in this model and simulate real-time dynamics.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116815"},"PeriodicalIF":2.5,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143242258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-03DOI: 10.1016/j.nuclphysb.2025.116820
Salih Kibaroğlu , Mustafa Senay
In this work, we examine the implications of q-deformed theory on anisotropic Bianchi type-I cosmological model within the framework of Verlinde's entropic gravity. The q-deformed theory, rooted in quantum group structures, provides a natural generalization of classical particle dynamics and offers a useful framework for exploring deviations in standard cosmological models. By incorporating the principles of entropic gravity, which conceptualize gravity as an emergent entropic force, we derive the dynamical equations governing the Bianchi type-I anisotropic model influenced by q-deformation. Finally, we analyze the axisymmetric solution of Bianchi type-I model and these findings highlight the potential impact of q-deformation on the dynamics of the early universe and its subsequent evolution.
{"title":"Anisotropic cosmology in q-deformed entropic gravity","authors":"Salih Kibaroğlu , Mustafa Senay","doi":"10.1016/j.nuclphysb.2025.116820","DOIUrl":"10.1016/j.nuclphysb.2025.116820","url":null,"abstract":"<div><div>In this work, we examine the implications of <em>q</em>-deformed theory on anisotropic Bianchi type-I cosmological model within the framework of Verlinde's entropic gravity. The <em>q</em>-deformed theory, rooted in quantum group structures, provides a natural generalization of classical particle dynamics and offers a useful framework for exploring deviations in standard cosmological models. By incorporating the principles of entropic gravity, which conceptualize gravity as an emergent entropic force, we derive the dynamical equations governing the Bianchi type-I anisotropic model influenced by <em>q</em>-deformation. Finally, we analyze the axisymmetric solution of Bianchi type-I model and these findings highlight the potential impact of <em>q</em>-deformation on the dynamics of the early universe and its subsequent evolution.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116820"},"PeriodicalIF":2.5,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143095012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-03DOI: 10.1016/j.nuclphysb.2025.116816
B. Chauhan, R. Tripathi
We perform the Becchi-Rouet-Stora-Tyutin (BRST) quantization of a -dimensional cosmological Friedmann-Robertson-Walker (FRW) model. This quantization leverages the classical infinitesimal and continuous re-parameterization symmetry transformations of the system. To derive the nilpotent re-parameterization invariant BRST-anti-BRST symmetry transformations for the scale factor and corresponding momentum variables present in the cosmological FRW model, we employ the modified Bonora-Tonin supervariable approach (MBTSA) to BRST formalism. Through this approach, we also establish the BRST-anti-BRST invariant Curci-Ferrari (CF)-type restriction for this cosmological re-parameterization invariant model. Further, we obtain the off-shell nilpotent quantum BRST-anti-BRST symmetry transformations for other variables within the model using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of ACSA, the CF-type restriction is demonstrated through two key aspects: (i) the invariance of the coupled Lagrangians under symmetry transformations, and the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Notably, applying the MBTSA to a physical cosmological system, specifically a one-dimensional one, constitutes a novel contribution to this work. Additionally, in the application of ACSA, we restrict our analysis to (anti-)chiral super expansions of supervariables, leading to the unique observation of the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Moreover, we highlight that the CF-type restriction demonstrates a universal nature, remaining consistent across any re-parameterization invariant models in general D-dimensional spacetime.
{"title":"Re-parameterization invariance of FRW model: Supervariable and BRST approaches","authors":"B. Chauhan, R. Tripathi","doi":"10.1016/j.nuclphysb.2025.116816","DOIUrl":"10.1016/j.nuclphysb.2025.116816","url":null,"abstract":"<div><div>We perform the Becchi-Rouet-Stora-Tyutin (BRST) quantization of a <span><math><mo>(</mo><mn>0</mn><mo>+</mo><mn>1</mn><mo>)</mo></math></span>-dimensional cosmological Friedmann-Robertson-Walker (FRW) model. This quantization leverages the classical infinitesimal and continuous re-parameterization symmetry transformations of the system. To derive the nilpotent re-parameterization invariant BRST-anti-BRST symmetry transformations for the scale factor and corresponding momentum variables present in the cosmological FRW model, we employ the modified Bonora-Tonin supervariable approach (MBTSA) to BRST formalism. Through this approach, we also establish the BRST-anti-BRST invariant Curci-Ferrari (CF)-type restriction for this cosmological re-parameterization invariant model. Further, we obtain the off-shell nilpotent quantum BRST-anti-BRST symmetry transformations for other variables within the model using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of ACSA, the CF-type restriction is demonstrated through two key aspects: (<em>i</em>) the invariance of the coupled Lagrangians under symmetry transformations, and <span><math><mo>(</mo><mi>i</mi><mi>i</mi><mo>)</mo></math></span> the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Notably, applying the MBTSA to a physical cosmological system, specifically a one-dimensional one, constitutes a novel contribution to this work. Additionally, in the application of ACSA, we restrict our analysis to (anti-)chiral super expansions of supervariables, leading to the unique observation of the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Moreover, we highlight that the CF-type restriction demonstrates a universal nature, remaining consistent across any re-parameterization invariant models in general D-dimensional spacetime.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116816"},"PeriodicalIF":2.5,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143095010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-03DOI: 10.1016/j.nuclphysb.2025.116814
Marko Stošić , Piotr Sułkowski
We relate invariants of torus knots to the counts of a class of lattice paths, which we call generalized Schröder paths. We determine generating functions of such paths, located in a region determined by a type of a torus knot under consideration, and show that they encode colored HOMFLY-PT polynomials of this knot. The generators of uncolored HOMFLY-PT homology correspond to a basic set of such paths. Invoking the knots-quivers correspondence, we express generating functions of such paths as quiver generating series, and also relate them to quadruply-graded knot homology. Furthermore, we determine corresponding A-polynomials, which provide algebraic equations and recursion relations for generating functions of generalized Schröder paths. The lattice paths of our interest explicitly enumerate BPS states associated to knots via brane constructions, as well as encode 3-dimensional theories.
{"title":"Torus knots and generalized Schröder paths","authors":"Marko Stošić , Piotr Sułkowski","doi":"10.1016/j.nuclphysb.2025.116814","DOIUrl":"10.1016/j.nuclphysb.2025.116814","url":null,"abstract":"<div><div>We relate invariants of torus knots to the counts of a class of lattice paths, which we call generalized Schröder paths. We determine generating functions of such paths, located in a region determined by a type of a torus knot under consideration, and show that they encode colored HOMFLY-PT polynomials of this knot. The generators of uncolored HOMFLY-PT homology correspond to a basic set of such paths. Invoking the knots-quivers correspondence, we express generating functions of such paths as quiver generating series, and also relate them to quadruply-graded knot homology. Furthermore, we determine corresponding A-polynomials, which provide algebraic equations and recursion relations for generating functions of generalized Schröder paths. The lattice paths of our interest explicitly enumerate BPS states associated to knots via brane constructions, as well as encode 3-dimensional <span><math><mi>N</mi><mo>=</mo><mn>2</mn></math></span> theories.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116814"},"PeriodicalIF":2.5,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143377406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-03DOI: 10.1016/j.nuclphysb.2025.116818
Peter B. Denton , Julia Gehrlein
The next generation of neutrino oscillation experiments, JUNO, DUNE, and HK, are under construction now and will collect data over the next decade and beyond. As there are no approved plans to follow up this program with more advanced neutrino oscillation experiments, we consider here one option that had gained considerable interest more than a decade ago: a neutrino factory. Such an experiment uses stored muons in a racetrack configuration with extremely well characterized decays reducing systematic uncertainties and providing for more oscillation channels. Such a machine could also be one step towards a high energy muon collider program. We consider a long-baseline configuration to SURF using the DUNE far detectors or modifications thereof, and compare the expected sensitivities of the three-flavor oscillation parameters to the anticipated results from DUNE and HK. We show optimal beam configurations, the impact of charge identification, the role of statistics and systematics, and the expected precision to the relevant standard oscillation parameters in different DUNE vs. neutrino factory configurations.
{"title":"A modern look at the oscillation physics case for a neutrino factory","authors":"Peter B. Denton , Julia Gehrlein","doi":"10.1016/j.nuclphysb.2025.116818","DOIUrl":"10.1016/j.nuclphysb.2025.116818","url":null,"abstract":"<div><div>The next generation of neutrino oscillation experiments, JUNO, DUNE, and HK, are under construction now and will collect data over the next decade and beyond. As there are no approved plans to follow up this program with more advanced neutrino oscillation experiments, we consider here one option that had gained considerable interest more than a decade ago: a neutrino factory. Such an experiment uses stored muons in a racetrack configuration with extremely well characterized decays reducing systematic uncertainties and providing for more oscillation channels. Such a machine could also be one step towards a high energy muon collider program. We consider a long-baseline configuration to SURF using the DUNE far detectors or modifications thereof, and compare the expected sensitivities of the three-flavor oscillation parameters to the anticipated results from DUNE and HK. We show optimal beam configurations, the impact of charge identification, the role of statistics and systematics, and the expected precision to the relevant standard oscillation parameters in different DUNE vs. neutrino factory configurations.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116818"},"PeriodicalIF":2.5,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143095009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-03DOI: 10.1016/j.nuclphysb.2025.116817
Gaurav Bhandari , S.D. Pathak , Manabendra Sharma
In this paper, we calculate the relativistic corrections to the Zeeman effect for hydrogen-like atoms based on the Generalized Uncertainty Principle (GUP). We propose a relativistic GUP algebra using the Stetsko and Tkachuk approximation and incorporate these corrections into the Zeeman effect. In the relativistic limit, our results recover previously derived GUP corrections as well as the standard Lande energy shift expression when GUP effects are absent. This work presents a generalized expression that accounts for both relativistic and GUP corrections to the Zeeman effect.
{"title":"Generalized uncertainty principle and the Zeeman effect: Relativistic corrections unveiled","authors":"Gaurav Bhandari , S.D. Pathak , Manabendra Sharma","doi":"10.1016/j.nuclphysb.2025.116817","DOIUrl":"10.1016/j.nuclphysb.2025.116817","url":null,"abstract":"<div><div>In this paper, we calculate the relativistic corrections to the Zeeman effect for hydrogen-like atoms based on the Generalized Uncertainty Principle (GUP). We propose a relativistic GUP algebra using the Stetsko and Tkachuk approximation and incorporate these corrections into the Zeeman effect. In the relativistic limit, our results recover previously derived GUP corrections as well as the standard Lande energy shift expression when GUP effects are absent. This work presents a generalized expression that accounts for both relativistic and GUP corrections to the Zeeman effect.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116817"},"PeriodicalIF":2.5,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143095011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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