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The transverse charge density of the pion is extracted from a dispersive analysis of the $e^+e^- \rightarrow \pi^+\pi^-$ exclusive annihilation data. A logarithmic dispersion relation is used to compute the unknown phase of the timelike…

High Energy Physics - Phenomenology · Physics 2025-03-14 Enrique Ruiz Arriola , Pablo Sanchez-Puertas , Christian Weiss

We present preliminary results from the first calculation of the pion electromagnetic form factor at physical light quark masses. This form factor parameterises the deviations from the behaviour of a point-like particle when a photon hits…

High Energy Physics - Lattice · Physics 2013-11-15 Jonna Koponen , Francis Bursa , Christine Davies , Gordon Donald , Rachel Dowdall

Hadron structure calculations using lattice Quantum Chromodynamics (QCD) have advanced significantly in recent years. Results for charges, form factors, and lower Mellin moments can be obtained to high precision, generalized parton…

High Energy Physics - Lattice · Physics 2026-04-21 Constantia Alexandrou

Based on a global fit to experimental measurements of the pion electromagnetic form factor and parton distribution functions (PDFs), we report a data-driven determination of the unpolarized quark generalized parton distributions (GPDs) for…

High Energy Physics - Phenomenology · Physics 2026-04-14 Satyajit Puhan , Shubham Sharma , Narinder Kumar , Harleen Dahiya

We consider a bottom-up AdS/QCD model with a conformal exponential deformation $e^{k\,z^2}$ on a Lorentz invariant AdS background. In this model, we assume the conformal dimension associated with the operator that creates pions at the…

High Energy Physics - Phenomenology · Physics 2022-03-29 Miguel Angel Martin Contreras , Eduardo Folco Capossoli , Danning Li , Alfredo Vega , Henrique Boschi-Filho

We perform a lattice QCD calculation of the hadronic light-by-light scattering amplitude in a broad kinematical range. At forward kinematics, the results are compared to a phenomenological analysis based on dispersive sum rules for…

High Energy Physics - Lattice · Physics 2015-12-02 Jeremy Green , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Vladimir Pascalutsa

The charge radii and the decay rates of the pion and kaons are calculated, using the relativistic equation of motion with a linear potential. Those physical quantities are quite well explained with the current quark masses in the case of…

Nuclear Theory · Physics 2007-05-23 Yongkyu Ko

We present a lattice QCD investigation of the $\rho$ resonance using nine $N_f = 2 + 1$ Wilson-Clover ensembles with three lattice spacings and various pion masses ranging from $135$ to $320$ MeV. For each ensemble, a large number of finite…

High Energy Physics - Lattice · Physics 2025-02-07 Zhengli Wang , Derek B. Leinweber , Chuan Liu , Liuming Liu , Peng Sun , Anthony W. Thomas , Jia-jun Wu , Hanyang Xing , Kang Yu

The recent conundrum with the proton charge radius inspires reconsideration of the corrections that enter into determinations of the proton size. We study the two-photon proton-structure corrections, with special consideration of the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Carl E. Carlson , Marc Vanderhaeghen

We calculate the nucleon isovector scalar charge in lattice QCD using overlap fermions on five ensembles of gauge configurations generated by the RBC/UKQCD collaboration using the domain-wall quark action with $2+1$ dynamical flavors. The…

High Energy Physics - Lattice · Physics 2021-11-16 Liuming Liu , Ting Chen , Terrence Draper , Jian Liang , Keh-Fei Liu , Gen Wang , Yi-Bo Yang

This paper concerns the most intriguing question of modern atomic physics: determination of the proton root-mean-square (rms) charge radius ($r_p$). This problem was announced by the difference in $r_p$ values extracted from the experiments…

Atomic Physics · Physics 2018-11-05 D. Solovyev

We collect spectra extracted in the $I=\ell=1$ $\pi\pi$ sector provided by various lattice QCD collaborations and study the $m_\pi$ dependence of $\rho$-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified…

High Energy Physics - Lattice · Physics 2024-03-18 Kang Yu , Yan Li , Jia-Jun Wu , Derek B. Leinweber , Anthony W. Thomas

We summarize recent developments in the study of hadron-hadron interactions using lattice QCD near the physical pion mass ($m_{\pi} \simeq 146$ MeV), based on the HAL QCD method and its connection to experimental data. In particular, we…

High Energy Physics - Phenomenology · Physics 2025-07-14 Tetsuo Hatsuda

A puzzling discrepancy exists between the values of the proton charge radius obtained using different experimental techniques: elastic electron-proton scattering and spectroscopy of electronic and muonic hydrogen. The proton radius is…

Nuclear Experiment · Physics 2022-03-07 Alexander V. Gramolin , Rebecca L. Russell

Separated longitudinal and transverse structure functions for the reaction 1H(e,eprime pi+)n were measured in the momentum transfer region Q2=0.6-1.6 (GeV/c)**2 at a value of the invariant mass W=1.95 GeV. New values for the pion charge…

Nuclear Experiment · Physics 2009-04-15 J. Volmer

Pion and kaon mean free paths within a thermal hadronic background are calculated using relativistic kinetic theory. Free cross sections are used which include contributions from $\rho$, $K^{*}$, $\Delta$ and heavier resonances. Given pion…

Nuclear Theory · Physics 2010-11-01 Kevin Haglin , Scott Pratt

Chiral dynamics makes definitive predictions for the electromagnetic polarizabilities of hadrons near the chiral limit; but, agreement with experiment is tenuous in some cases. We provide an overview of lattice QCD methods to compute the…

High Energy Physics - Lattice · Physics 2013-01-22 B. C. Tiburzi

Two-pion interferometry measurements are used to extract the Gaussian radii $R_{{\rm out}}$, $R_{{\rm side}}$, and $R_{{\rm long}}$, of the pion emission sources produced in Cu$+$Cu and Au$+$Au collisions at several beam collision energies…

Nuclear Experiment · Physics 2019-08-12 A. Adare , S. Afanasiev , C. Aidala , N. N. Ajitanand , Y. Akiba , R. Akimoto , H. Al-Bataineh , H. Al-Ta'ani , J. Alexander , M. Alfred , A. Angerami , K. Aoki , N. Apadula , L. Aphecetche , Y. Aramaki , R. Armendariz , S. H. Aronson , J. Asai , H. Asano , E. C. Aschenauer , E. T. Atomssa , R. Averbeck , T. C. Awes , B. Azmoun , V. Babintsev , M. Bai , G. Baksay , L. Baksay , A. Baldisseri , N. S. Bandara , B. Bannier , K. N. Barish , P. D. Barnes , B. Bassalleck , A. T. Basye , S. Bathe , S. Batsouli , V. Baublis , C. Baumann , S. Baumgart , A. Bazilevsky , M. Beaumier , S. Beckman , S. Belikov , R. Belmont , R. Bennett , A. Berdnikov , Y. Berdnikov , A. A. Bickley , X. Bing , D. Black , D. S. Blau , J. G. Boissevain , J. S. Bok , H. Borel , K. Boyle , M. L. Brooks , J. Bryslawskyj , H. Buesching , V. Bumazhnov , G. Bunce , S. Butsyk , C. M. Camacho , S. Campbell , P. Castera , B. S. Chang , J. -L. Charvet , C. -H. Chen , S. Chernichenko , C. Y. Chi , J. Chiba , M. Chiu , I. J. Choi , J. B. Choi , S. Choi , R. K. Choudhury , P. Christiansen , T. Chujo , P. Chung , A. Churyn , O. Chvala , V. Cianciolo , Z. Citron , C. R. Cleven , B. A. Cole , M. P. Comets , M. Connors , P. Constantin , M. Csanád , T. Csörgő , T. Dahms , S. Dairaku , I. Danchev , K. Das , A. Datta , M. S. Daugherity , G. David , M. B. Deaton , K. DeBlasio , K. Dehmelt , H. Delagrange , A. Denisov , D. d'Enterria , A. Deshpande , E. J. Desmond , K. V. Dharmawardane , O. Dietzsch , L. Ding , A. Dion , J. H. Do , M. Donadelli , O. Drapier , A. Drees , K. A. Drees , A. K. Dubey , J. M. Durham , A. Durum , D. Dutta , V. Dzhordzhadze , L. D'Orazio , S. Edwards , Y. V. Efremenko , J. Egdemir , F. Ellinghaus , W. S. Emam , T. Engelmore , A. Enokizono , H. En'yo , S. Esumi , K. O. Eyser , B. Fadem , N. Feege , D. E. Fields , M. Finger , M. Finger, , F. Fleuret , S. L. Fokin , Z. Fraenkel , J. E. Frantz , A. Franz , A. D. Frawley , K. Fujiwara , Y. Fukao , T. Fusayasu , S. Gadrat , K. Gainey , C. Gal , P. Gallus , P. Garg , A. Garishvili , I. Garishvili , H. Ge , F. Giordano , A. Glenn , H. Gong , X. Gong , M. Gonin , J. Gosset , Y. Goto , R. Granier de Cassagnac , N. Grau , S. V. Greene , M. Grosse Perdekamp , Y. Gu , T. Gunji , L. Guo , H. Guragain , H. -Å. Gustafsson , T. Hachiya , A. Hadj Henni , C. Haegemann , J. S. Haggerty , K. I. Hahn , H. Hamagaki , J. Hamblen , R. Han , S. Y. Han , J. Hanks , H. Harada , E. P. Hartouni , K. Haruna , S. Hasegawa , K. Hashimoto , E. Haslum , R. Hayano , X. He , M. Heffner , T. K. Hemmick , T. Hester , H. Hiejima , J. C. Hill , R. Hobbs , M. Hohlmann , R. S. Hollis , W. Holzmann , K. Homma , B. Hong , T. Horaguchi , Y. Hori , D. Hornback , T. Hoshino , J. Huang , S. Huang , T. Ichihara , R. Ichimiya , J. Ide , H. Iinuma , Y. Ikeda , K. Imai , Y. Imazu , J. Imrek , M. Inaba , Y. Inoue , A. Iordanova , D. Isenhower , L. Isenhower , M. Ishihara , T. Isobe , M. Issah , A. Isupov , D. Ivanischev , D. Ivanishchev , B. V. Jacak , M. Javani , S. J. Jeon , M. Jezghani , J. Jia , X. Jiang , J. Jin , O. Jinnouchi , B. M. Johnson , E. Joo , K. S. Joo , D. Jouan , D. S. Jumper , F. Kajihara , S. Kametani , N. Kamihara , J. Kamin , M. Kaneta , S. Kaneti , B. H. Kang , J. H. Kang , J. S. Kang , H. Kanou , J. Kapustinsky , K. Karatsu , M. Kasai , D. Kawall , M. Kawashima , A. V. Kazantsev , T. Kempel , J. A. Key , V. Khachatryan , A. Khanzadeev , K. Kihara , K. M. Kijima , J. Kikuchi , B. I. Kim , C. Kim , D. H. Kim , D. J. Kim , E. Kim , E. -J. Kim , H. -J. Kim , H. J. Kim , K. -B. Kim , M. Kim , S. H. Kim , Y. -J. Kim , Y. K. Kim , E. Kinney , K. Kiriluk , Á. Kiss , E. Kistenev , A. Kiyomichi , J. Klatsky , J. Klay , C. Klein-Boesing , D. Kleinjan , P. Kline , T. Koblesky , L. Kochenda , V. Kochetkov , M. Kofarago , Y. Komatsu , B. Komkov , M. Konno , J. Koster , D. Kotchetkov , D. Kotov , A. Kozlov , A. Král , A. Kravitz , F. Krizek , J. Kubart , G. J. Kunde , N. Kurihara , K. Kurita , M. Kurosawa , M. J. Kweon , Y. Kwon , G. S. Kyle , R. Lacey , Y. S. Lai , J. G. Lajoie , A. Lebedev , B. Lee , D. M. Lee , J. Lee , K. Lee , K. B. Lee , K. S. Lee , M. K. Lee , S. H. Lee , S. R. Lee , T. Lee , M. J. Leitch , M. A. L. Leite , M. Leitgab , E. Leitner , B. Lenzi , B. Lewis , X. Li , P. Liebing , S. H. Lim , L. A. Linden Levy , T. Liška , A. Litvinenko , H. Liu , M. X. Liu , B. Love , R. Luechtenborg , D. Lynch , C. F. Maguire , Y. I. Makdisi , M. Makek , A. Malakhov , M. D. Malik , A. Manion , V. I. Manko , E. Mannel , Y. Mao , L. Mašek , H. Masui , S. Masumoto , F. Matathias , M. McCumber , P. L. McGaughey , D. McGlinchey , C. McKinney , N. Means , A. Meles , M. Mendoza , B. Meredith , Y. Miake , T. Mibe , A. C. Mignerey , P. Mikeš , K. Miki , A. J. Miller , T. E. Miller , A. Milov , S. Mioduszewski , D. K. Mishra , M. Mishra , J. T. Mitchell , M. Mitrovski , Y. Miyachi , S. Miyasaka , S. Mizuno , A. K. Mohanty , P. Montuenga , H. J. Moon , T. Moon , Y. Morino , A. Morreale , D. P. Morrison , S. Motschwiller , T. V. Moukhanova , D. Mukhopadhyay , T. Murakami , J. Murata , A. Mwai , T. Nagae , S. Nagamiya , Y. Nagata , J. L. Nagle , M. Naglis , M. I. Nagy , I. Nakagawa , H. Nakagomi , Y. Nakamiya , K. R. Nakamura , T. Nakamura , K. Nakano , C. Nattrass , A. Nederlof , P. K. Netrakanti , J. Newby , M. Nguyen , M. Nihashi , T. Niida , B. E. Norman , R. Nouicer , N. Novitzky , A. S. Nyanin , E. O'Brien , S. X. Oda , C. A. Ogilvie , H. Ohnishi , M. Oka , K. Okada , O. O. Omiwade , Y. Onuki , J. D. Orjuela Koop , A. Oskarsson , M. Ouchida , H. Ozaki , K. Ozawa , R. Pak , D. Pal , A. P. T. Palounek , V. Pantuev , V. Papavassiliou , B. H. Park , I. H. Park , J. Park , S. Park , S. K. Park , W. J. Park , S. F. Pate , L. Patel , M. Patel , H. Pei , J. -C. Peng , H. Pereira , D. V. Perepelitsa , G. D. N. Perera , V. Peresedov , D. Yu. Peressounko , J. Perry , R. Petti , C. Pinkenburg , R. Pinson , R. P. Pisani , M. Proissl , M. L. Purschke , A. K. Purwar , H. Qu , J. Rak , A. Rakotozafindrabe , I. Ravinovich , K. F. Read , S. Rembeczki , M. Reuter , K. Reygers , D. Reynolds , V. Riabov , Y. Riabov , E. Richardson , N. Riveli , D. Roach , G. Roche , S. D. Rolnick , A. Romana , M. Rosati , C. A. Rosen , S. S. E. Rosendahl , P. Rosnet , Z. Rowan , J. G. Rubin , P. Rukoyatkin , P. Ružička , V. L. Rykov , B. Sahlmueller , N. Saito , T. Sakaguchi , S. Sakai , K. Sakashita , H. Sakata , H. Sako , V. Samsonov , M. Sano , S. Sano , M. Sarsour , S. Sato , T. Sato , S. Sawada , B. Schaefer , B. K. Schmoll , K. Sedgwick , J. Seele , R. Seidl , A. Yu. Semenov , V. Semenov , A. Sen , R. Seto , P. Sett , A. Sexton , D. Sharma , I. Shein , A. Shevel , T. -A. Shibata , K. Shigaki , M. Shimomura , K. Shoji , P. Shukla , A. Sickles , C. L. Silva , D. Silvermyr , C. Silvestre , K. S. Sim , B. K. Singh , C. P. Singh , V. Singh , S. Skutnik , M. Slunečka , A. Soldatov , R. A. Soltz , W. E. Sondheim , S. P. Sorensen , M. Soumya , I. V. Sourikova , N. A. Sparks , F. Staley , P. W. Stankus , E. Stenlund , M. Stepanov , A. Ster , S. P. Stoll , T. Sugitate , C. Suire , A. Sukhanov , T. Sumita , J. Sun , J. Sziklai , T. Tabaru , S. Takagi , E. M. Takagui , A. Takahara , A. Taketani , R. Tanabe , Y. Tanaka , S. Taneja , K. Tanida , M. J. Tannenbaum , S. Tarafdar , A. Taranenko , P. Tarján , E. Tennant , H. Themann , T. L. Thomas , A. Timilsina , T. Todoroki , M. Togawa , A. Toia , J. Tojo , L. Tomášek , M. Tomášek , H. Torii , M. Towell , R. Towell , R. S. Towell , V-N. Tram , I. Tserruya , Y. Tsuchimoto , T. Tsuji , C. Vale , H. Valle , H. W. van Hecke , M. Vargyas , E. Vazquez-Zambrano , A. Veicht , J. Velkovska , R. Vértesi , A. A. Vinogradov , M. Virius , A. Vossen , V. Vrba , E. Vznuzdaev , M. Wagner , D. Walker , X. R. Wang , D. Watanabe , K. Watanabe , Y. Watanabe , Y. S. Watanabe , F. Wei , R. Wei , J. Wessels , S. Whitaker , S. N. White , D. Winter , S. Wolin , J. P. Wood , C. L. Woody , R. M. Wright , M. Wysocki , B. Xia , W. Xie , L. Xue , S. Yalcin , Y. L. Yamaguchi , K. Yamaura , R. Yang , A. Yanovich , Z. Yasin , J. Ying , S. Yokkaichi , I. Yoon , Z. You , G. R. Young , I. Younus , I. E. Yushmanov , W. A. Zajc , O. Zaudtke , A. Zelenski , C. Zhang , S. Zhou , J. Zimányi , L. Zolin

Two methods for determining the potential (\psi) around a discretely charged rod have been devised. The methods utilize the potential around the continuously charged rod (\bar{\psi}) as the reference where \bar{\psi} isdetermined by the…

Computational Physics · Physics 2011-04-27 Ahmad A. J Agung , Christopher G. Jesudason

We calculate the parameters describing elastic $I=1$, $P$-wave $\pi\pi$ scattering using lattice QCD with $2+1$ flavors of clover fermions. Our calculation is performed with a pion mass of $m_\pi \approx 320\:\:{\rm MeV}$ and a lattice size…