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These lecture notes consist of two major connected parts. The first part (Sections 1, 2), after a brief historical introduction, deals with the physics of critical points in thermodynamic equilibrium. The features of the fluctuations…

Nuclear Theory · Physics 2024-03-07 Mikhail Stephanov

We derive the momentum distribution for two soft and collinear gluons emitted from an off-shell quark, modeled by a $q\gamma\rightarrow qgg$ scattering process and computed using the maximal helicity violating (MHV) technique. We find the…

High Energy Physics - Phenomenology · Physics 2017-12-19 A. N. Rasoanaivo , W. A. Horowitz

We will provide a review of some of the physics which can be addressed by studying fluctuations and correlations in heavy ion collisions. We will discuss Lattice QCD results on fluctuations and correlations and will put them into context…

Nuclear Theory · Physics 2008-10-15 Volker Koch

Results on two-particle angular correlations for charged particles emitted in pPb collisions at a nucleon-nucleon center-of-mass energy of 5.02 TeV are presented. The analysis uses two million collisions collected with the CMS detector at…

Nuclear Experiment · Physics 2013-03-21 CMS Collaboration

Correlation testing provides a quick method of discriminating amongst potential terms to include in a nuclear mass formula or functional and is a necessary tool for further nuclear mass models; however a firm mathematical foundation of the…

Nuclear Theory · Physics 2013-05-14 M. G. Bertolli

Two-Particle correlations based on the interference of identical particles has provided the chief means for determining the shape and lifetime of sources in relativistic heavy ion collisions. Here, Strong and Coulomb induced correlations…

Nuclear Theory · Physics 2009-11-10 Scott Pratt , Silvio Petriconi

We review the progress in understanding the strange particle yields in nuclear collisions and their role in signalling quark-gluon plasma formation. We report on new insights into the formation mechanisms of strange particles during…

Nuclear Theory · Physics 2016-11-03 Josef Sollfrank , Ulrich Heinz

As one of the possible signals for the whereabouts of the critical point on the QCD phase diagram, recently, the multiplicity fluctuations in heavy-ion collisions have aroused much attention. It is a crucial observable of the Beam Energy…

High Energy Physics - Phenomenology · Physics 2020-01-24 Hong-Hao Ma , Kai Lin , Wei-Liang Qian , Bin Wang

Long- and short-range correlations for pairs of charged particles are studied via two-particle angular correlations in pp collisions at $\sqrt{s}=13$ TeV and p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$ TeV. The correlation functions…

Nuclear Experiment · Physics 2024-04-15 ALICE Collaboration

Cluster Perturbation Theory (CPT) is a computationally economic method commonly used to estimate the momentum and energy resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that…

Strongly Correlated Electrons · Physics 2020-02-20 P. T. Raum , G. Alvarez , Thomas Maier , V. W. Scarola

Access to single-particle momenta provides new means of studying the dynamics of a few interacting particles. In a joint theoretical and experimental effort, we observe and analyze the effects of a finite number of ultracold two-body…

Quantum Gases · Physics 2019-02-28 Q. Guan , V. Klinkhamer , R. Klemt , J. H. Becher , A. Bergschneider , P. M. Preiss , S. Jochim , D. Blume

Jets provide us with ideal probes of the quark-gluon plasma (QGP) produced in heavy-ion collisions, since its dynamics at its different scales is imprinted into the multi-scale substructure of the final state jets. We present a new approach…

High Energy Physics - Phenomenology · Physics 2023-07-11 Carlota Andres , Fabio Dominguez , Raghav Kunnawalkam Elayavalli , Jack Holguin , Cyrille Marquet , Ian Moult

Two-particle angular correlations are studied in proton-lead collisions at a nucleon-nucleon centre-of-mass energy of $\sqrt{s_{\text{NN}}}=5$TeV, collected with the LHCb detector at the LHC. The analysis is based on data recorded in two…

Nuclear Experiment · Physics 2016-12-13 LHCb collaboration , R. Aaij , C. Abellán Beteta , B. Adeva , M. Adinolfi , A. Affolder , Z. Ajaltouni , S. Akar , J. Albrecht , F. Alessio , M. Alexander , S. Ali , G. Alkhazov , P. Alvarez Cartelle , A. A. Alves , S. Amato , S. Amerio , Y. Amhis , L. An , L. Anderlini , J. Anderson , G. Andreassi , M. Andreotti , J. E. Andrews , R. B. Appleby , O. Aquines Gutierrez , F. Archilli , P. d'Argent , A. Artamonov , M. Artuso , E. Aslanides , G. Auriemma , M. Baalouch , S. Bachmann , J. J. Back , A. Badalov , C. Baesso , W. Baldini , R. J. Barlow , C. Barschel , S. Barsuk , W. Barter , V. Batozskaya , V. Battista , A. Bay , L. Beaucourt , J. Beddow , F. Bedeschi , I. Bediaga , L. J. Bel , V. Bellee , N. Belloli , I. Belyaev , E. Ben-Haim , G. Bencivenni , S. Benson , J. Benton , A. Berezhnoy , R. Bernet , A. Bertolin , M. -O. Bettler , M. van Beuzekom , A. Bien , S. Bifani , P. Billoir , T. Bird , A. Birnkraut , A. Bizzeti , T. Blake , F. Blanc , J. Blouw , S. Blusk , V. Bocci , A. Bondar , N. Bondar , W. Bonivento , S. Borghi , M. Borsato , T. J. V. Bowcock , E. Bowen , C. Bozzi , S. Braun , M. Britsch , T. Britton , J. Brodzicka , N. H. Brook , E. Buchanan , C. Burr , A. Bursche , J. Buytaert , S. Cadeddu , R. Calabrese , M. Calvi , M. Calvo Gomez , P. Campana , D. Campora Perez , L. Capriotti , A. Carbone , G. Carboni , R. Cardinale , A. Cardini , P. Carniti , L. Carson , K. Carvalho Akiba , G. Casse , L. Cassina , L. Castillo Garcia , M. Cattaneo , Ch. Cauet , G. Cavallero , R. Cenci , M. Charles , Ph. Charpentier , M. Chefdeville , S. Chen , S. -F. Cheung , N. Chiapolini , M. Chrzaszcz , X. Cid Vidal , G. Ciezarek , P. E. L. Clarke , M. Clemencic , H. V. Cliff , J. Closier , V. Coco , J. Cogan , E. Cogneras , V. Cogoni , L. Cojocariu , G. Collazuol , P. Collins , A. Comerma-Montells , A. Contu , A. Cook , M. Coombes , S. Coquereau , G. Corti , M. Corvo , B. Couturier , G. A. Cowan , D. C. Craik , A. Crocombe , M. Cruz Torres , S. Cunliffe , R. Currie , C. D'Ambrosio , E. Dall'Occo , J. Dalseno , P. N. Y. David , A. Davis , O. De Aguiar Francisco , K. De Bruyn , S. De Capua , M. De Cian , J. M. De Miranda , L. De Paula , P. De Simone , C. -T. Dean , D. Decamp , M. Deckenhoff , L. Del Buono , N. Déléage , M. Demmer , D. Derkach , O. Deschamps , F. Dettori , B. Dey , A. Di Canto , F. Di Ruscio , H. Dijkstra , S. Donleavy , F. Dordei , M. Dorigo , A. Dosil Suárez , D. Dossett , A. Dovbnya , K. Dreimanis , L. Dufour , G. Dujany , F. Dupertuis , P. Durante , R. Dzhelyadin , A. Dziurda , A. Dzyuba , S. Easo , U. Egede , V. Egorychev , S. Eidelman , S. Eisenhardt , U. Eitschberger , R. Ekelhof , L. Eklund , I. El Rifai , Ch. Elsasser , S. Ely , S. Esen , H. M. Evans , T. Evans , A. Falabella , C. Färber , N. Farley , S. Farry , R. Fay , D. Ferguson , V. Fernandez Albor , F. Ferrari , F. Ferreira Rodrigues , M. Ferro-Luzzi , S. Filippov , M. Fiore , M. Fiorini , M. Firlej , C. Fitzpatrick , T. Fiutowski , K. Fohl , P. Fol , M. Fontana , F. Fontanelli , D. C. Forshaw , R. Forty , M. Frank , C. Frei , M. Frosini , J. Fu , E. Furfaro , A. Gallas Torreira , D. Galli , S. Gallorini , S. Gambetta , M. Gandelman , P. Gandini , Y. Gao , J. García Pardiñas , J. Garra Tico , L. Garrido , D. Gascon , C. Gaspar , R. Gauld , L. Gavardi , G. Gazzoni , D. Gerick , E. Gersabeck , M. Gersabeck , T. Gershon , Ph. Ghez , S. Gianì , V. Gibson , O. G. Girard , L. Giubega , V. V. Gligorov , C. Göbel , D. Golubkov , A. Golutvin , A. Gomes , C. Gotti , M. Grabalosa Gándara , R. Graciani Diaz , L. A. Granado Cardoso , E. Graugés , E. Graverini , G. Graziani , A. Grecu , E. Greening , S. Gregson , P. Griffith , L. Grillo , O. Grünberg , B. Gui , E. Gushchin , Yu. Guz , T. Gys , T. Hadavizadeh , C. Hadjivasiliou , G. Haefeli , C. Haen , S. C. Haines , S. Hall , B. Hamilton , X. Han , S. Hansmann-Menzemer , N. Harnew , S. T. Harnew , J. Harrison , J. He , T. Head , V. Heijne , A. Heister , K. Hennessy , P. Henrard , L. Henry , J. A. Hernando Morata , E. van Herwijnen , M. Heß , A. Hicheur , D. Hill , M. Hoballah , C. Hombach , W. Hulsbergen , T. Humair , N. Hussain , D. Hutchcroft , D. Hynds , M. Idzik , P. Ilten , R. Jacobsson , A. Jaeger , J. Jalocha , E. Jans , A. Jawahery , F. Jing , M. John , D. Johnson , C. R. Jones , C. Joram , B. Jost , N. Jurik , S. Kandybei , W. Kanso , M. Karacson , T. M. Karbach , S. Karodia , M. Kecke , M. Kelsey , I. R. Kenyon , M. Kenzie , T. Ketel , E. Khairullin , B. Khanji , C. Khurewathanakul , T. Kirn , S. Klaver , K. Klimaszewski , O. Kochebina , M. Kolpin , I. Komarov , R. F. Koopman , P. Koppenburg , M. Kozeiha , L. Kravchuk , K. Kreplin , M. Kreps , G. Krocker , P. Krokovny , F. Kruse , W. Krzemien , W. Kucewicz , M. Kucharczyk , V. Kudryavtsev , A. K. Kuonen , K. Kurek , T. Kvaratskheliya , D. Lacarrere , G. Lafferty , A. Lai , D. Lambert , G. Lanfranchi , C. Langenbruch , B. Langhans , T. Latham , C. Lazzeroni , R. Le Gac , J. van Leerdam , J. -P. Lees , R. Lefèvre , A. Leflat , J. Lefrançois , E. Lemos Cid , O. Leroy , T. Lesiak , B. Leverington , Y. Li , T. Likhomanenko , M. Liles , R. Lindner , C. Linn , F. Lionetto , B. Liu , X. Liu , D. Loh , I. Longstaff , J. H. Lopes , D. Lucchesi , M. Lucio Martinez , H. Luo , A. Lupato , E. Luppi , O. Lupton , A. Lusiani , F. Machefert , F. Maciuc , O. Maev , K. Maguire , S. Malde , A. Malinin , G. Manca , G. Mancinelli , P. Manning , A. Mapelli , J. Maratas , J. F. Marchand , U. Marconi , C. Marin Benito , P. Marino , J. Marks , G. Martellotti , M. Martin , M. Martinelli , D. Martinez Santos , F. Martinez Vidal , D. Martins Tostes , A. Massafferri , R. Matev , A. Mathad , Z. Mathe , C. Matteuzzi , A. Mauri , B. Maurin , A. Mazurov , M. McCann , J. McCarthy , A. McNab , R. McNulty , B. Meadows , F. Meier , M. Meissner , D. Melnychuk , M. Merk , E Michielin , D. A. Milanes , M. -N. Minard , D. S. Mitzel , J. Molina Rodriguez , I. A. Monroy , S. Monteil , M. Morandin , P. Morawski , A. Mordà , M. J. Morello , J. Moron , A. B. Morris , R. Mountain , F. Muheim , D. Müller , J. Müller , K. Müller , V. Müller , M. Mussini , B. Muster , P. Naik , T. Nakada , R. Nandakumar , A. Nandi , I. Nasteva , M. Needham , N. Neri , S. Neubert , N. Neufeld , M. Neuner , A. D. Nguyen , T. D. Nguyen , C. Nguyen-Mau , V. Niess , R. Niet , N. Nikitin , T. Nikodem , A. Novoselov , D. P. O'Hanlon , A. Oblakowska-Mucha , V. Obraztsov , S. Ogilvy , O. Okhrimenko , R. Oldeman , C. J. G. Onderwater , B. Osorio Rodrigues , J. M. Otalora Goicochea , A. Otto , P. Owen , A. Oyanguren , A. Palano , F. Palombo , M. Palutan , J. Panman , A. Papanestis , M. Pappagallo , L. L. Pappalardo , C. Pappenheimer , W. Parker , C. Parkes , G. Passaleva , G. D. Patel , M. Patel , C. Patrignani , A. Pearce , A. Pellegrino , G. Penso , M. Pepe Altarelli , S. Perazzini , P. Perret , L. Pescatore , K. Petridis , A. Petrolini , M. Petruzzo , E. Picatoste Olloqui , B. Pietrzyk , T. Pilař , D. Pinci , A. Pistone , A. Piucci , S. Playfer , M. Plo Casasus , T. Poikela , F. Polci , A. Poluektov , I. Polyakov , E. Polycarpo , A. Popov , D. Popov , B. Popovici , C. Potterat , E. Price , J. D. Price , J. Prisciandaro , A. Pritchard , C. Prouve , V. Pugatch , A. Puig Navarro , G. Punzi , W. Qian , R. Quagliani , B. Rachwal , J. H. Rademacker , M. Rama , M. S. Rangel , I. Raniuk , N. Rauschmayr , G. Raven , F. Redi , S. Reichert , M. M. Reid , A. C. dos Reis , S. Ricciardi , S. Richards , M. Rihl , K. Rinnert , V. Rives Molina , P. Robbe , A. B. Rodrigues , E. Rodrigues , J. A. Rodriguez Lopez , P. Rodriguez Perez , S. Roiser , V. Romanovsky , A. Romero Vidal , J. W. Ronayne , M. Rotondo , J. Rouvinet , T. Ruf , P. Ruiz Valls , J. J. Saborido Silva , N. Sagidova , P. Sail , B. Saitta , V. Salustino Guimaraes , C. Sanchez Mayordomo , B. Sanmartin Sedes , R. Santacesaria , C. Santamarina Rios , M. Santimaria , E. Santovetti , A. Sarti , C. Satriano , A. Satta , D. M. Saunders , D. Savrina , S. Schael , M. Schiller , H. Schindler , M. Schlupp , M. Schmelling , T. Schmelzer , B. Schmidt , O. Schneider , A. Schopper , M. Schubiger , M. -H. Schune , R. Schwemmer , B. Sciascia , A. Sciubba , A. Semennikov , A. Sergi , N. Serra , J. Serrano , L. Sestini , P. Seyfert , M. Shapkin , I. Shapoval , Y. Shcheglov , T. Shears , L. Shekhtman , V. Shevchenko , A. Shires , B. G. Siddi , R. Silva Coutinho , L. Silva de Oliveira , G. Simi , M. Sirendi , N. Skidmore , T. Skwarnicki , E. Smith , E. Smith , I. T. Smith , J. Smith , M. Smith , H. Snoek , M. D. Sokoloff , F. J. P. Soler , F. Soomro , D. Souza , B. Souza De Paula , B. Spaan , P. Spradlin , S. Sridharan , F. Stagni , M. Stahl , S. Stahl , S. Stefkova , O. Steinkamp , O. Stenyakin , S. Stevenson , S. Stoica , S. Stone , B. Storaci , S. Stracka , M. Straticiuc , U. Straumann , L. Sun , W. Sutcliffe , K. Swientek , S. Swientek , V. Syropoulos , M. Szczekowski , T. Szumlak , S. T'Jampens , A. Tayduganov , T. Tekampe , M. Teklishyn , G. Tellarini , F. Teubert , C. Thomas , E. Thomas , J. van Tilburg , V. Tisserand , M. Tobin , J. Todd , S. Tolk , L. Tomassetti , D. Tonelli , S. Topp-Joergensen , N. Torr , E. Tournefier , S. Tourneur , K. Trabelsi , M. T. Tran , M. Tresch , A. Trisovic , A. Tsaregorodtsev , P. Tsopelas , N. Tuning , A. Ukleja , A. Ustyuzhanin , U. Uwer , C. Vacca , V. Vagnoni , G. Valenti , A. Vallier , R. Vazquez Gomez , P. Vazquez Regueiro , C. Vázquez Sierra , S. Vecchi , M. van Veghel , J. J. Velthuis , M. Veltri , G. Veneziano , M. Vesterinen , B. Viaud , D. Vieira , M. Vieites Diaz , X. Vilasis-Cardona , V. Volkov , A. Vollhardt , D. Volyanskyy , D. Voong , A. Vorobyev , V. Vorobyev , C. Voß , J. A. de Vries , R. Waldi , C. Wallace , R. Wallace , J. Walsh , S. Wandernoth , J. Wang , D. R. Ward , N. K. Watson , D. Websdale , A. Weiden , M. Whitehead , G. Wilkinson , M. Wilkinson , M. Williams , M. P. Williams , M. Williams , T. Williams , F. F. Wilson , J. Wimberley , J. Wishahi , W. Wislicki , M. Witek , G. Wormser , S. A. Wotton , S. Wright , K. Wyllie , Y. Xie , Z. Xu , Z. Yang , J. Yu , X. Yuan , O. Yushchenko , M. Zangoli , M. Zavertyaev , L. Zhang , Y. Zhang , A. Zhelezov , A. Zhokhov , L. Zhong , V. Zhukov , S. Zucchelli

We report on a considerable improvement in the technique of measuring multiparticle correlations via integrals over correlation functions. A modification of measures used in the characterization of chaotic dynamical sytems permits fast and…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. C. Eggers , P. Lipa , P. Carruthers , B. Buschbeck

Event-by-event fluctuations of the mean transverse momentum ($p_{\rm T}$) of relativistic charged particles are analyzed using the two-particle correlator $\sqrt{C_m}/M(p_{\rm T})_m$, which quantifies the correlations strength in units of…

High Energy Physics - Experiment · Physics 2025-05-22 Bushra Ali

We show that the concept of bipartite fluctuations F provides a very efficient tool to detect quantum phase transitions in strongly correlated systems. Using state of the art numerical techniques complemented with analytical arguments, we…

Strongly Correlated Electrons · Physics 2012-03-13 Stephan Rachel , Nicolas Laflorencie , H. Francis Song , Karyn Le Hur

The simplest observables used to probe the interaction of hard partons with a QCD medium in ultrarelativistic heavy ion collisions measure disappearance, such as the nuclear modification factor R_AA. The information content of such…

High Energy Physics - Phenomenology · Physics 2015-10-28 Thorsten Renk

We propose a novel approach to electron correlation for multireference systems. It is based on particle-hole (ph) and particle-particle (pp) theories in the second-order, developed in the random phase approximation (RPA) framework for…

Chemical Physics · Physics 2024-12-03 Aleksandra Tucholska , Yang Guo , Katarzyna Pernal

Correlations in the nuclear wave-function beyond the mean-field or Hartree-Fock approximation are very important to describe basic properties of nuclear structure. Various approaches to account for such correlations are described and…

Nuclear Theory · Physics 2009-11-06 H. Müther , A. Polls

Fluctuations of conserved quantities in heavy-ion collisions are used to probe the phase transition and the QCD critical point for the strongly interacting hot and dense nuclear matter. The STAR experiment has carried out moment analysis of…

Nuclear Experiment · Physics 2015-05-01 Xiaofeng Luo
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