{"title":"Orbits of particles with magnetic dipole moment around magnetized Schwarzschild black holes: Applications to the S2 star orbit","authors":"Uktamjon Uktamov, Mohsen Fathi, Javlon Rayimbaev, Ahmadjon Abdujabbarov","doi":"10.1103/physrevd.110.084084","DOIUrl":"https://doi.org/10.1103/physrevd.110.084084","url":null,"abstract":"This study provides a comprehensive analytical investigation of the bound and unbound motion of magnetized particles orbiting a Schwarzschild black hole immersed in an external asymptotically uniform magnetic field, which includes all conceivable types of bounded and unbounded orbits. In particular, for planetary orbits, we perform a comparative analysis of our findings with the observed position of the S2 star carrying magnetic dipole moment around Sagittarius A*. We found maximum and minimum values for the parameter of magnetic interaction between the magnetic dipole of the star and the external magnetic field, as well as the energy and angular momentum of the S2 star. As a result, we obtain estimations of the magnetic dipole of the star in the order of <mjx-container ctxtmenu_counter=\"30\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(14 (2 0 1) 3 4 (10 5 6 (9 7 8)))\"><mjx-mrow data-semantic-children=\"2,3,4,10\" data-semantic-collapsed=\"(14 (c 11 12 13) 2 3 4 10)\" data-semantic- data-semantic-owns=\"2 3 4 10\" data-semantic-role=\"text\" data-semantic-speech=\"10 Superscript 6 Baseline normal upper G dot c m cubed\" data-semantic-type=\"punctuated\"><mjx-msup data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"14\" data-semantic-role=\"integer\" data-semantic-type=\"superscript\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.642em;\">1</mjx-c><mjx-c style=\"padding-top: 0.642em;\">0</mjx-c></mjx-mn><mjx-script style=\"vertical-align: 0.369em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>6</mjx-c></mjx-mn></mjx-script></mjx-msup><mjx-mtext data-semantic-annotation=\"clearspeak:unit\" data-semantic- data-semantic-parent=\"14\" data-semantic-role=\"space\" data-semantic-type=\"text\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 3px;\" variant=\"-explicitFont\"> </mjx-utext></mjx-mtext><mjx-mtext data-semantic-annotation=\"clearspeak:unit\" data-semantic- data-semantic-parent=\"14\" data-semantic-role=\"space\" data-semantic-type=\"text\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 3px;\" variant=\"-explicitFont\"> </mjx-utext></mjx-mtext><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"5,9\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"5 6 9\" data-semantic-parent=\"14\" data-semantic-role=\"multiplication\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annot","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"16 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142562236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
Physical Review DPub Date : 2024-10-31DOI: 10.1103/physrevd.110.085021
Matthew Buican, Rajath Radhakrishnan
{"title":"Qudit stabilizer codes, CFTs, and topological surfaces","authors":"Matthew Buican, Rajath Radhakrishnan","doi":"10.1103/physrevd.110.085021","DOIUrl":"https://doi.org/10.1103/physrevd.110.085021","url":null,"abstract":"We study general maps from the space of rational conformal field theories (CFTs) with a fixed chiral algebra and associated Chern-Simons (CS) theories to the space of qudit stabilizer codes with a fixed generalized Pauli group. We consider certain natural constraints on such a map and show that the map can be described as a graph homomorphism from an orbifold graph, which captures the orbifold structure of CFTs, to a code graph, which captures the structure of self-dual stabilizer codes. By studying explicit examples, we show that this graph homomorphism cannot always be a graph embedding. However, we construct a physically motivated map from universal orbifold subgraphs of CFTs to operators in a generalized Pauli group. We show that this map results in a self-dual stabilizer code if and only if the surface operators in the bulk CS theories corresponding to the CFTs in question are self-dual. For CFTs admitting a stabilizer code description, we show that the full Abelianized generalized Pauli group can be obtained from twisted sectors of certain 0-form symmetries of the CFT. Finally, we connect our construction with SymTFTs, and we argue that many equivalences between codes that arise in our setup correspond to equivalence classes of bulk topological surfaces under fusion with invertible surfaces.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"38 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
Physical Review DPub Date : 2024-10-31DOI: 10.1103/physrevd.110.075043
Wei Chao, Si-Chun Sun, Xin Wang, Chen-Hui Xie
{"title":"Axion and dark fermion electromagnetic form factors in superfluid4He","authors":"Wei Chao, Si-Chun Sun, Xin Wang, Chen-Hui Xie","doi":"10.1103/physrevd.110.075043","DOIUrl":"https://doi.org/10.1103/physrevd.110.075043","url":null,"abstract":"Condensed matter materials have shown great potential in searching for light dark matter (DM) via detecting the phonon or magnon signals induced by the scattering of DM off the materials. In this paper, we study the possibility of detecting electromagnetic form factors of fermionic DM and axionlike particles (ALPs) using superfluid <mjx-container ctxtmenu_counter=\"16\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"unknown\" data-semantic-speech=\"Superscript 4 Baseline upper H e\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c>4</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">H</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container>. The phonon induced by a sub-GeV fermionic DM scattering off the superfluid can be described using the effective field theory with the interaction between DM and the bulk <mjx-container ctxtmenu_counter=\"17\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"unknown\" data-semantic-speech=\"Superscript 4 Baseline upper H e\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"num","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"9 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
Physical Review DPub Date : 2024-10-31DOI: 10.1103/physrevd.110.074042
Shu Lin, Haiqin Tang
{"title":"Transient spin modes from relaxational axial kinetic theory","authors":"Shu Lin, Haiqin Tang","doi":"10.1103/physrevd.110.074042","DOIUrl":"https://doi.org/10.1103/physrevd.110.074042","url":null,"abstract":"We study the dynamics of spin mode by solving the axial kinetic equations under the relaxation time approximation in the presence of dissipative sources. We find transient spin modes in response to the electric field with spacetime inhomogeneity, fluid acceleration and shear. To the lowest order in spatial momentum <mjx-container ctxtmenu_counter=\"3\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"k\" data-semantic-type=\"identifier\"><mjx-c>𝑘</mjx-c></mjx-mi></mjx-math></mjx-container>, we find the responses to electric field and acceleration can be interpreted as a retarded response to temporal variations of the magnetic field and vorticity respectively. The response to shear occurs at <mjx-container ctxtmenu_counter=\"4\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-children=\"0,6\" data-semantic-content=\"7,0\" data-semantic- data-semantic-owns=\"0 7 6\" data-semantic-role=\"simple function\" data-semantic-speech=\"upper O left parenthesis k squared right parenthesis\" data-semantic-structure=\"(8 0 7 (6 1 (4 2 3) 5))\" data-semantic-type=\"appl\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"8\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"><mjx-c>𝑂</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"8\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"4\" data-semantic-content=\"1,5\" data-semantic- data-semantic-owns=\"1 4 5\" data-semantic-parent=\"8\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"6\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-msup data-semantic-children=\"2,3\" data-semantic- data-semantic-owns=\"2 3\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑘</mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msup><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"26 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
Physical Review DPub Date : 2024-10-31DOI: 10.1103/physrevd.110.074040
Shouxing Zhao, Min He
{"title":"Second-order dissociation and transition of heavy quarkonia in the quark-gluon plasma","authors":"Shouxing Zhao, Min He","doi":"10.1103/physrevd.110.074040","DOIUrl":"https://doi.org/10.1103/physrevd.110.074040","url":null,"abstract":"We revisit the dissociation of heavy quarkonia by thermal partons at the next-to-leading order (NLO, also known as inelastic parton scattering dissociation) in the quark-gluon plasma (QGP). Utilizing the chromoelectric dipole coupling from quantum chromodynamics (QCD) multipole expansion as an effective Hamiltonian, this has been conducted in the approach of second-order quantum mechanical perturbation theory, which allows us to systematically incorporate the bound state wave functions. Employing the quarkonium wave functions and binding energies obtained from an in-medium potential model, we then numerically evaluate the dissociation cross sections and rates for various charmonia and bottomonia, where the infrared and collinear divergences are regularized by the thermal masses of medium partons. We demonstrate that distinct from the leading order (LO, also known as gluo-dissociation) counterparts peaking at relatively low gluon energy and falling off thereafter, the NLO cross sections first grow and then nearly saturate as the incident parton energy increases, as a result of the outgoing parton carrying away the excess energy. The resulting NLO dissociation rates increase with temperature and take over from the LO counterparts toward high temperatures, similar to pertinent findings from previous studies. We also evaluate the in-medium second-order transition between different bound states, which may contribute to the total thermal decay widths of heavy quarkonia in the QGP.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"79 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
Physical Review DPub Date : 2024-10-31DOI: 10.1103/physrevd.110.084085
Harsh Narola, Justin Janquart, Quirijn Meijer, K. Haris, Chris Van Den Broeck
{"title":"Gravitational-wave parameter estimation with relative binning: Inclusion of higher-order modes and precession, and applications to lensing and third-generation detectors","authors":"Harsh Narola, Justin Janquart, Quirijn Meijer, K. Haris, Chris Van Den Broeck","doi":"10.1103/physrevd.110.084085","DOIUrl":"https://doi.org/10.1103/physrevd.110.084085","url":null,"abstract":"Once a gravitational-wave signal is detected, the measurement of its source parameters is important to achieve various scientific goals. This is done through Bayesian inference, where the analysis cost increases with the model complexity and the signal duration. For typical binary black hole signals with precession and higher-order modes, one has 15 model parameters. With standard methods, such analyses require at least a few days. For strong gravitational-wave lensing, where multiple images of the same signal are produced, the joint analysis of two data streams requires 19 parameters, further increasing the complexity and run time. Moreover, for third-generation detectors, due to the lowered minimum sensitive frequency, the signal duration increases, leading to even longer analysis times. With the increased detection rate, such analyses can then become intractable. In this work, we present a fast and precise parameter estimation method relying on relative binning and capable of including higher-order modes and precession. We also extend the method to perform joint Bayesian inference for lensed gravitational-wave signals. Then, we compare its accuracy and speed to those of state-of-the-art parameter estimation routines by analyzing a set of simulated signals for the current and third generation of interferometers. Additionally, we analyze some real events known to contain higher-order modes [<span>Phys. Rev. D</span> <b>102</b>, 043015 (2020). and <span>Astrophys. J. Lett.</span> <b>896</b>, L44 (2020).] with relative binning. For binary black hole systems with a total mass larger than <mjx-container ctxtmenu_counter=\"11\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,3\" data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"implicit\" data-semantic-speech=\"50 upper M Subscript circled dot\" data-semantic-structure=\"(5 0 4 (3 1 2))\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.642em;\">5</mjx-c><mjx-c style=\"padding-top: 0.642em;\">0</mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"5\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑀</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; mar","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"240 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
Physical Review DPub Date : 2024-10-31DOI: 10.1103/physrevd.110.085022
Kartik Prabhu, Gautam Satishchandran
{"title":"Infrared finite scattering theory: Amplitudes and soft theorems","authors":"Kartik Prabhu, Gautam Satishchandran","doi":"10.1103/physrevd.110.085022","DOIUrl":"https://doi.org/10.1103/physrevd.110.085022","url":null,"abstract":"Any nontrivial scattering with massless fields in four spacetime dimensions will generically produce an out-state with memory. Scattering with any massless fields violates the standard assumption of asymptotic completeness—that all “in” and “out” states lie in the standard (zero-memory) Fock space—and therefore leads to infrared divergences in the standard <mjx-container ctxtmenu_counter=\"8\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper S\" data-semantic-type=\"identifier\"><mjx-c>𝑆</mjx-c></mjx-mi></mjx-math></mjx-container>-matrix amplitudes. In this paper, we define an infrared finite scattering theory which assumes only (1) the existence of in-/out-algebras and (2) that Heisenberg evolution is an automorphism of these algebras. The resulting “superscattering” map <mjx-container ctxtmenu_counter=\"9\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic- data-semantic-role=\"unknown\" data-semantic-speech=\"dollar sign\" data-semantic-type=\"identifier\"><mjx-c>$</mjx-c></mjx-mi></mjx-math></mjx-container> allows for transitions between different in/out memory states and agrees with the standard <mjx-container ctxtmenu_counter=\"10\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper S\" data-semantic-type=\"identifier\"><mjx-c>𝑆</mjx-c></mjx-mi></mjx-math></mjx-container> matrix when it is defined. We construct <mjx-container ctxtmenu_counter=\"11\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic- data-semantic-role=\"unknown\" data-semantic-speech=\"dollar sign\" data-semantic-type=\"identifier\"><mjx-c>$</mjx-c></mjx-mi></mjx-math></mjx-container> amplitudes by defining (3) a “generalized asymptotic completeness” which accommodates states with memory in the space of asymptotic states and (4) a complete basis of improper states that generalize the usual <mjx-container ctxtmenu_counter=\"12\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"n\" data-semantic-type=\"identifier\"><mjx-c>𝑛</mjx-c></mjx-mi></mjx-math></m","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"113 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}