Quantum Chromo Dynamics (QCD), as the fundamental theory of the strong interaction predicts the existence of exotic mesons made of gluons. Observation
|
|
- Jonas Neal
- 5 years ago
- Views:
Transcription
1 Scalar Glueball Decay Into Pions In Eective Theory Hongying Jin and Xinmin Zhang Institute of High Energy Physics, Academia Sinica, P.O.Box 98(4), Beijing 39, China Abstract We examine the mixing between the sigma meson and the "pure" glueball eld H and study the decays of the scalar glueball candidate f (5) (a linear combination of and H) into two and four pions in eective linear sigma model. From recent experimental data on f (5) decay to pions we point out that the mixing angle is of order of.. PACS numbers 3.25.Hw 2.28.Lg jhy@hptc5.ihep.ac.cn, xmzhang@bepc3.ihep.ac.cn
2 Quantum Chromo Dynamics (QCD), as the fundamental theory of the strong interaction predicts the existence of exotic mesons made of gluons. Observations of these gluonium will provide a direct conrmation on the special feature of non-abelian gauge theory. For scalar glueballs the candidates reported in the literature include f (5) and f (75)[,2,3]. However, the non-perturbative dynamics of QCD makes it dicult to do the calculation on the glueball mass, decay width and mixing with the sigma meson. Besides Lattice QCD[8], one has considered various phenomenological models, such as the potential models[4], bag models[5], ux tube[6] models and the QCD sum rule[7] in order to study the glueball mass and its two body decays. In this paper we take an eective lagrangian approach and discuss the glueball decay into twoaswell as four-pion nal states. Particularly we will pay attention to the mixing between the glueball and the sigma meson. It is well known that non-linear sigma model describes the dynamical properties of the pions. To construct an eective lagrangian for glueball decay into pions one could simply include the glueball meson into the non-linear sigma model. Under the chiral symmetry, the glueball transforms as a singlet. For instance, interaction responsible for the decay of the scalar glueball into multi-pions is given by HTr@ () where = exp i~ ~=f and H the "pure" glueball eld. However, with mass of scalar glueball around 5 MeV or 7MeV, the momentum transfer from the decay of the glueball into pions is so large that resonances, such as sigma and rho mesons will show up and play an essential role in the processes of the glueball decay. Thus we use in this paper an eective lagrangian with sigma and rho mesons included explicitly i.e. the linear sigma model. The identication of the sigma particle is highly controversial. It is listed in the Particle Data Tables[4] as a very broad meson with mass around 4 2 MeV and full width 6 2 MeV. This particle, needed in the linear sigma model, has been argued to play an important role in nuclear physics[9] and in the study on the chiral phase transition[]. In recent years, many works are devoted to search for it in the 2
3 scattering[3]. Regarding its role in the glueball physics, BES[] and MKIII[2] data on B(J=! f (5)! 4) and B(J=! f (75)! 4), Crystal Barrel data[3] on pp! f (5)! (2; KK;2; ; 4) show f (5) decays into 4 dominantly through sigma channel(s partial wave), and also hints it strongly couples to 2. In this paper, we consider, for simplicity, the linear sigma model for two avors. As usual we introduce the eld = 2 +i~~ 2 ; (2) where is unity matrix and ~ the Pauli matrices with normalization condition Tr a b = 2 ab. Under a SU L (2) SU R (2) chiral transformation, transforms as! L y R: (3) A renormalizable lagrangian of linear sigma model is given now by L = Trf@ g [Trf y g f 2 2 ]2 ; (4) where f is the vacuum expectation value of the sigma eld and the self coupling constant. Let's now add the O ++ "pure" glueball state H on the lagrangian. Given that the H is made of gluons and singlet under the chiral symmetry, there are only two terms which give rise to the interaction among H, the sigma and pions, L H = g f H[Trf y g f 2 2 ]+g 2H 2 [Trf y g f 2 ]; (5) 2 where two free parameters, g and g 2 are introduced to describe the strength of couplings of one and two Htothe sigma or pions. For the self interaction of glueballs, the lagrangian is given by L H H = H@ H + 2 m2 H H2 + f 3 H 3 + f 4 H 4 ; (6) where m 2 H is the mass of glueball, f 3 ;f 4 the self coupling constants. After the chiral symmetry is broken by non-vanishing vacuum expectation value of the sigma eld, lagrangian in (5) generates not only the interaction for glueball decay, but also 3
4 a mixing between the glueball H and the sigma eld. The mass matrix for (H; ) is where m 2 =2f 2. m 2 = m 2 H g f 2 g f 2 To diagonalize the mass matrix, we introduce an unitary matrix V = cos sin sin cos m 2 C B C A; (7) C A : (8) Then the mass eigen-states are given by H C B A C B H C A ; (9) with = g f 2 =(m2 H m 2 ). Substituting (9) into (5) and (4), we obtain the lagrangian for H decay L H = H f m2 H 2f 2 +( m2 H+2m 2 2f 2g 2 f ) 2 +O( 2 )g: () In (), the couplings of the glueball to sigma and the pions are proportional to the mixing angle. This could be understood by the observation that in the limit of large N c, the mixing between H and is of the same order as that for H to decay into light hadrons (see gure ). Furthermore, under the assumption of vector meson dominance[], meson can be introduced by in (4) by D ig( ). We found that the direct coupling of H and vanishes at the tree level. Identifying the glueball state H with f (5), the phenomenologies of our model can be summarized as follows: i) Glueball decay into two pions: The decay width of f (5) into two pions is given by q (H! 2) = (m H ) 2 m 2 H f 4m2 : () Experimentally Crystal Barrel Group reported[3] that Br(f (5)! 2) : Br(f (5)! 4) = 4:39 :6 : 4:9 3:2 and total = 2 2MeV. Assuming 4
5 that Br(f (5)! 4) is about 5% one has that (2) =7:563MeV. Using this value, we obtain :5: (2) ii)glueball decay into four pions: the dominant decay of the glueball into four pions is through the intermediate two sigma states. In Figure 2, we plot the ratio of glueball decay into 2 to 2 as function of g 2. This measurement can be used to determine the parameter g 2. Before concluding our paper, we make two remarks: ) In the chiral limit which we work on in this paper, the mixing of glueball with sigma is a consequence of the spontaneous chiral symmetry breaking. However, when including the explicit symmetry breaking eects by the quark mass, especially when extending the lagrangian for two avors to three avors, there would be one term proportional to the explicit symmetry breaking which also generates mixing of the glueball with the sigma meson as shown in Fig. 3; 2) To make a comparison of our result from eective theory with other models, we estimate the mixing angle, as an example, by using QCD sum rule. The low energy theorem states that [] Z i dx < jto(x)oj >= d O < jo()j >; (3) where d O is the mass dimension of operator O, O is the trace of the energy momentum tensor = ( s) 4 s G G b s 8 G G ; (( s ) is Gell-Mann-Low function, b= for pure Yang-Mills QCD) which vanishes in classical level. To obtain the mixing angle, let us rstly choose operator O to be O = (uu + dd)= p 2. Assuming that the lowest-lying ++ ground state, i.e., saturates the correlation function we obtain < jo ()j > m 2 <joj >= d < jo ()j >: (4) 5
6 Similarly, taking now the operator O to be O, we have < jo()jh > m 2 H <HjOj >= d G < jo()j >: (5) In deriving (5), we have also assumed that the ground state of ++ "pure" glueball saturates the l.h.s of (5). Dening < jojh >= f H, < jo j>=f,we can roughly dene the eective eld of the "pure" glueball H as H = f H O f H <joj >:: (6) Therefore, From eqs (4-7), we get the mixing angle = 3m2 f f H < jo j >= <joj > f H : (7) 3m 2 2f m H q < joj > < jo j >: (8) Note that the mixing angle is proportional to the quark's condense. The parameter f in (8) can be estimated again by the QCD sum rule. Following[2], we have f 2 = 6 6 M 4 ( + 3 s M < jmqqj > M < j s 4 G G j > 48 3 s 8 M < jqqj > 6 )em2 =M2 ; where M is a parameter with mass dimension in Borel transformation, and M GeV. For the quark and gluon condensate, we take the standard values < jmqqj >= (:Gev) 4 ; (9) < jqqj >=< juuj >=< j ddj >= (:25Gev) 3 ; (2) < j s G G j >= (:33Gev) 4 : Taking a common value, m = 5MeV[3] (8) gives :8: (2) The mixing angle in (2) is consistent with that in (2). In conclusion, we have studied the decay of the scalar glueball into pions and its mixing with the sigma particle in eective theory. Our results show that f (5) decays into four 6
7 pions through 2 intermediate states. The can contribute to the four-pion decay mode at one-loop level with branch ratio (2) :: (22) (2) Furthermore we t our model to the recent experimental data on the decay of f (5) and obtain that the mixing of glueball with sigma is small, which is consistent with our estimation based on low energy theorem and QCD sum rule. ACKNOWLEDGMENTS We thank Zhenping Li, Qing Wang and L.S. Kisslinger for discussions. This work was supported in part by the national natural science foundation of China. 7
8 References [] Y.Zhu,unpublished. [2] D.V.Bugg,et al.,phys.lett.b 353(995). [3] Stefan Spanier, hep-exp/986; Curtis A. Meyer, hep-exp/9778. [4] J.M.Cornwall and A.Soni,Phys.LettB2(98)43; T.Barnes,Z.Phys. C (98)275; A.DE.Castro,H.F.de Carvalho and A.B.C. Antunes, Nuovo Cimento, A(989)423. [5] M.Chanowitz and S.Sharpe,Nucl.Phys.B222(983)2. [6] N.Isgur and J.Paton,Phys.Rev.D3(985)29. [7] V.A.Novikov,M.A.Shifman,V.I.Vaistein and V.I.Zakharov,Nucl.Phys. B65(98) 67, B9 (98) 3; M.A.Shifman, Z.Phys. C9(98)347; J.Bordes,V.Gimenez and J.A. Renarrocha,Phys.Lett.B223(989)25; P.Pascual and R.Tarrch, Phys.Lett. B3 (988)485; C.Domingnez and N.Paver,Z.Phys. C3(986)59; S.Narison,hepph/ [8] J.Sexton, A.Vaccarcino and D.Weigarten, Phys.Rev.Lett.75 (995)4563; G.S.Bali et al, (UKQCD Collaboration) Phys.Lett B39(993) 378; H.Chen, J.Sexton, A.Vaccarcino and D.Weigarten, (IBM research)nucl.phys.b (suppl)34(994) 357. [9] M.Taketani et al.,prog.theor. Phys.Suppl.39(967); [] R.D Pisarski, hep-ph/95333; [] V.A. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. b9 (98) 3; [2] L.J. Reinders, S. Yazaki, H. R. Rusinstein, Nucl. Phys. B96 (982)25; [3] M.Napsuciale, hep-ph/983396,g.a.kozlov, hep-ph/984344, Masayasu Harada,hepph/
9 [4] Partile Data Book, Phys.Rev D54996; 9
10 Figure Captions Fig. (a) Illustration of glueball decay into 2 or 2; (b)illustration of glueball mixing with induced by the quark condense. Fig.2 Ratio of f (5) decay into 2 to 2 as function of g 2. In the numerical calculation, we take m = 5GeV Fig.3 Illustration of glueball mixing with induced by the quark masses.
Determination of the scalar glueball mass in QCD sum rules
Determination of the scalar glueball mass in QCD sum rules Tao Huang 1,2, HongYing Jin 2 and Ailin Zhang 2 1 CCAST (World Laboratory), P. O. Box 8730, Beijing, 100080 arxiv:hep-ph/9807391v1 16 Jul 1998
More informationarxiv:nucl-th/ v1 21 Jan 1999
EPJ manuscript No. will be inserted by the editor) Model independent constraints from vacuum and in-medium QCD Sum Rules arxiv:nucl-th/99158v1 21 Jan 1999 F. Klingl and W. Weise a Physik-Department, Theoretische
More informationThe Strong Interaction and LHC phenomenology
The Strong Interaction and LHC phenomenology Juan Rojo STFC Rutherford Fellow University of Oxford Theoretical Physics Graduate School course Lecture 2: The QCD Lagrangian, Symmetries and Feynman Rules
More informationNature of the sigma meson as revealed by its softening process
Nature of the sigma meson as revealed by its softening process Tetsuo Hyodo a, Daisuke Jido b, and Teiji Kunihiro c Tokyo Institute of Technology a YITP, Kyoto b Kyoto Univ. c supported by Global Center
More informationPhenomenology of a pseudoscalar glueball and charmed mesons
JUSTUS-LIEBßIG Universität Giessen T Phenomenology of a pseudoscalar glueball and charmed mesons Walaa I. Eshraim Yukawa Institute for Theoretical Physics, Kyoto University, Japan, June 15th, 2018 Introduction
More informationarxiv: v1 [hep-ph] 13 Sep 2009
On the Mass and Decay Constant of K (143) Tensor Meson T. M. Aliev 1, K. Azizi,V. Bashiry 3 1 Department of Physics, Middle East Technical University, 6531 Ankara, Turkey Physics Division, Faculty of Arts
More informationPossible Color Octet Quark-Anti-Quark Condensate in the. Instanton Model. Abstract
SUNY-NTG-01-03 Possible Color Octet Quark-Anti-Quark Condensate in the Instanton Model Thomas Schäfer Department of Physics, SUNY Stony Brook, Stony Brook, NY 11794 and Riken-BNL Research Center, Brookhaven
More informationOddballs in QCDSR. 3 rd workshop on the XYZ particles. Liang Tang
Oddballs in QCDSR Liang Tang 2015.04.03 3 rd workshop on the XYZ particles Outline 1. An Introduction to Glueballs 2. Current Status of Glueballs 3. Oddballs via QCDSR 4. Experimentalists Attentions for
More informationSEARCH FOR THE QCD GROUND STATE. M. Reuter. DESY, Notkestrae 85, D Hamburg. C. Wetterich. Institut fur Theoretische Physik
DESY 94-081 HD{THEP{94{6 hep-ph/9405300 SEARCH FOR THE QCD GROUND STATE M. Reuter DESY, Notkestrae 85, D-22603 Hamburg C. Wetterich Institut fur Theoretische Physik Universitat Heidelberg Philosophenweg
More informationProton Structure and Prediction of Elastic Scattering at LHC at Center-of-Mass Energy 7 TeV
Proton Structure and Prediction of Elastic Scattering at LHC at Center-of-Mass Energy 7 TeV M. M. Islam 1, J. Kašpar 2,3, R. J. Luddy 1 1 Department of Physics, University of Connecticut, Storrs, CT 06269
More informationΛ QCD and Light Quarks Contents Symmetries of the QCD Lagrangian Chiral Symmetry and Its Breaking Parity and Handedness Parity Doubling Explicit Chira
Lecture 5 QCD Symmetries & Their Breaking From Quarks to Hadrons Adnan Bashir, IFM, UMSNH, Mexico August 2013 Hermosillo Sonora Λ QCD and Light Quarks Contents Symmetries of the QCD Lagrangian Chiral Symmetry
More informationGell-Mann - Oakes - Renner relation in a magnetic field at finite temperature.
Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature. N.O. Agasian and I.A. Shushpanov Institute of Theoretical and Experimental Physics 117218 Moscow, Russia Abstract In the first
More informationUNIVERSITY OF CHINESE ACADEMY OF SCIENCES
International ti Workshop on QCD Exotics Review of Glueball Hunting Cong-Feng Qiao UNIVERSITY OF CHINESE ACADEMY OF SCIENCES June 10, 2015, SDU Contents: UNIVERSITY OF CHINESE ACADEMY OF SCIENCES Glueballs
More informationarxiv: v1 [hep-ph] 10 Jan 2019
Nisho-1-2019 Nonvanishing pion masses for vanishing bare quark masses Aiichi Iwazaki Nishogakusha University, 6-16 Sanbancho Chiyoda-ku Tokyo 102-8336, Japan. (Dated: Jan. 10, 2019) arxiv:1901.03045v1
More informationDevelopment of a hadronic model: general considerations. Francesco Giacosa
Development of a hadronic model: general considerations Objectives Development of a chirallysymmetric model for mesons and baryons including (axial-)vector d.o.f. Extended Linear Sigma Model (elsm) Study
More informationarxiv:hep-ph/ v1 12 Oct 1994
A QCD ANALYSIS OF THE MASS STRUCTURE OF THE NUCLEON arxiv:hep-ph/9410274v1 12 Oct 1994 Xiangdong Ji Center for Theoretical Physics Laboratory for Nuclear Science and Department of Physics Massachusetts
More informationarxiv: v1 [hep-ph] 16 Jan 2019
Analysis of the D D K system with QCD sum rules Zun-Yan Di 1,2, Zhi-Gang Wang 1 1 Department of Physics, North China Electric Power University, Baoding 071003, P. R. China 2 School of Nuclear Science and
More informationThe Quest for Light Scalar Quarkonia from elsm
Institut für Theoretische Physik Goethe-Universität Frankfurt am Main The Quest for Light calar Quarkonia from elm Denis Parganlija [Based on arxiv: 5.3647] In collaboration with Francesco Giacosa and
More informationQCD Symmetries in eta and etaprime mesic nuclei
QCD Symmetries in eta and etaprime mesic nuclei Steven Bass Chiral symmetry, eta and eta physics: the masses of these mesons are 300-400 MeV too big for them to be pure Goldstone bosons Famous axial U(1)
More informationarxiv:nucl-th/ v1 23 Feb 2007 Pion-nucleon scattering within a gauged linear sigma model with parity-doubled nucleons
February 5, 28 13:17 WSPC/INSTRUCTION FILE International Journal of Modern Physics E c World Scientific Publishing Company arxiv:nucl-th/7276v1 23 Feb 27 Pion-nucleon scattering within a gauged linear
More information2 Meson Spectroscopy at LEAR with the Crystal Barrel. In collaboration with: Academy of Science (Budapest); Universities of Bochum, Bonn,
8 Meson Spectroscopy at LEAR with the Crystal Barrel 2 Meson Spectroscopy at LEAR with the Crystal Barrel C. Amsler, M. Buchler, P. Giarritta, M. Heinzelmann, F. Ould-Saada, C. Pietra, C. Regenfus and
More informationarxiv: v2 [hep-ph] 17 May 2010
Heavy χ Q tensor mesons in QCD arxiv:00.767v [hep-ph] 7 May 00 T. M. Aliev a, K. Azizi b, M. Savcı a a Physics Department, Middle East Technical University, 0653 Ankara, Turkey b Physics Division, Faculty
More informationη π 0 γγ decay in the three-flavor Nambu Jona-Lasinio model
TIT/HEP-38/NP INS-Rep.-3 η π 0 γγ decay in the three-flavor Nambu Jona-Lasinio model arxiv:hep-ph/96053v 8 Feb 996 Y.Nemoto, M.Oka Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 5,
More informationDecay constants and masses of light tensor mesons (J P = 2 + )
Decay constants and masses of light tensor mesons (J P = + ) R. Khosravi, D. Hatami Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran Abstract We calculate the masses and
More informationTheory toolbox. Chapter Chiral effective field theories
Chapter 3 Theory toolbox 3.1 Chiral effective field theories The near chiral symmetry of the QCD Lagrangian and its spontaneous breaking can be exploited to construct low-energy effective theories of QCD
More informationBaryon Resonance Determination using LQCD. Robert Edwards Jefferson Lab. Baryons 2013
Baryon Resonance Determination using LQCD Robert Edwards Jefferson Lab Baryons 2013 Where are the Missing Baryon Resonances? What are collective modes? Is there freezing of degrees of freedom? What is
More informationQuark Structure of the Pion
Quark Structure of the Pion Hyun-Chul Kim RCNP, Osaka University & Department of Physics, Inha University Collaborators: H.D. Son, S.i. Nam Progress of J-PARC Hadron Physics, Nov. 30-Dec. 01, 2014 Interpretation
More informationLecture 8. September 21, General plan for construction of Standard Model theory. Choice of gauge symmetries for the Standard Model
Lecture 8 September 21, 2017 Today General plan for construction of Standard Model theory Properties of SU(n) transformations (review) Choice of gauge symmetries for the Standard Model Use of Lagrangian
More informationMesons beyond the quark-antiquark picture: glueballs, hybrids, tetraquarks - part 1 - Francesco Giacosa
Mesons beyond the quark-antiquark picture: glueballs, hybrids, tetraquarks - part 1-55 Cracow School of Theoretical Physics 20 28/6/2015, Zakopane, Poland Outline The Lagrangian of QCD and its symmetries
More informationThe hadronization into the octet of pseudoscalar mesons in terms of SU(N) gauge invariant Lagrangian
The hadronization into the octet of pseudoscalar mesons in terms of SU(N gauge invariant Lagrangian National Research Nuclear University Moscow 115409, Moscow, Russia E-mail: a kosh@internets.ru By breaking
More informationThe Gauge Principle Contents Quantum Electrodynamics SU(N) Gauge Theory Global Gauge Transformations Local Gauge Transformations Dynamics of Field Ten
Lecture 4 QCD as a Gauge Theory Adnan Bashir, IFM, UMSNH, Mexico August 2013 Hermosillo Sonora The Gauge Principle Contents Quantum Electrodynamics SU(N) Gauge Theory Global Gauge Transformations Local
More informationarxiv: v1 [hep-ph] 28 Jan 2019
Charmonium excitation functions in pa collisions arxiv:1901.09910v1 [hep-ph] 28 Jan 2019 Gy. Wolf, G. Balassa, P. Kovács, M. Zétényi, Wigner RCP, Budapest, 1525 POB 49, Hungary Su Houng Lee Department
More informationThe symmetries of QCD (and consequences)
The symmetries of QCD (and consequences) Sinéad M. Ryan Trinity College Dublin Quantum Universe Symposium, Groningen, March 2018 Understand nature in terms of fundamental building blocks The Rumsfeld
More informationHadronic physics from the lattice
Hadronic physics from the lattice Chris Michael c.michael@liv.ac.uk University of Liverpool Hadronic physics from the lattice p.1/24 Hadronic Structure - Introduction What are hadrons made of? Is a meson
More informationIntroduction to Quantum Chromodynamics (QCD)
Introduction to Quantum Chromodynamics (QCD) Jianwei Qiu Theory Center, Jefferson Lab May 29 June 15, 2018 Lecture One The plan for my four lectures q The Goal: To understand the strong interaction dynamics
More informationON SOME MODELS OF THE EXOTIC HADRON STATES. Siniša R. Ignjatović and Vesna Borka Jovanović
FACTA UNIVERSITATIS (NIŠ) Physics, Chemistry and Technology Vol. 12, N o 2, Special Issue, 2014, pp. 151 158 DOI: 10.2298/FUPCT1402151I ON SOME MODELS OF THE EXOTIC HADRON STATES Siniša R. Ignjatović and
More informationChiral and angular momentum content of rho and rho mesons from dynamical lattice calculations
Chiral and angular momentum content of rho and rho mesons from dynamical lattice calculations L. Ya. Glozman Institut für Physik, FB Theoretische Physik, Universität Graz With Christian Lang and Markus
More informationLEADING LOGARITHMS FOR THE NUCLEON MASS
/9 LEADING LOGARITHMS FOR THE NUCLEON MASS O(N + ) Lund University bijnens@thep.lu.se http://thep.lu.se/ bijnens http://thep.lu.se/ bijnens/chpt/ QNP5 - Universidad Técnica Federico Santa María UTFSMXI
More informationCritical lines and points. in the. QCD phase diagram
Critical lines and points in the QCD phase diagram Understanding the phase diagram Phase diagram for m s > m u,d quark-gluon plasma deconfinement quark matter : superfluid B spontaneously broken nuclear
More informationNational Nuclear Physics Summer School Lectures on Effective Field Theory. Brian Tiburzi. RIKEN BNL Research Center
2014 National Nuclear Physics Summer School Lectures on Effective Field Theory I. Removing heavy particles II. Removing large scales III. Describing Goldstone bosons IV. Interacting with Goldstone bosons
More informationForefront Issues in Meson Spectroscopy
Forefront Issues in Meson Spectroscopy Curtis A. Meyer Carnegie Mellon University 1 Outline of Talk Introduction Meson Spectroscopy Glueballs Expectations Experimental Data Interpretation Hybrid Mesons
More informationPions are Special Contents Chiral Symmetry and Its Breaking Symmetries and Conservation Laws Goldstone Theorem The Potential Linear Sigma Model Wigner
Lecture 3 Pions as Goldstone Bosons of Chiral Symmetry Breaking Adnan Bashir, IFM, UMSNH, Mexico August 2013 Hermosillo Sonora Pions are Special Contents Chiral Symmetry and Its Breaking Symmetries and
More informationThe scalar meson puzzle from a linear sigma model perspective
Montpellier, December 009 The scalar meson puzzle from a linear sigma model perspective Renata Jora (Grup de Fisica Teorica and IFAE, Universitat Autonoma de Barcelona) Collaborators: Amir Fariborz(SUNY
More informationStructures of (ΩΩ) 0 + and (ΞΩ) 1 + in Extended Chiral SU(3) Quark Model
Commun. Theor. Phys. (Beijing, China) 40 (003) pp. 33 336 c International Academic Publishers Vol. 40, No. 3, September 15, 003 Structures of (ΩΩ) 0 + and (ΞΩ) 1 + in Extended Chiral SU(3) Quark Model
More informationThermomagnetic Effects in an External Magnetic Field in the Logarithmic-Quark Sigma Model
International Journal o Modern Physics and Application 017; (6): 9-5 http://www.aascit.org/journal/ijmpa ISSN: 375-3870 hermomagnetic Eects in an External Magnetic Field in the Logarithmic-Quark Sigma
More informationHadronic Resonances in a Hadronic Picture. Daisuke Jido (Nuclear physics group)
Daisuke Jido (Nuclear physics group) Hadrons (particles interacting with strong interactions) are composite objects of quarks and gluons. It has been recently suggested that the structures of some hadrons
More informationM =(L+) () for the string Regge trajectory, were L is the orbital momentum, is the vibrational quantum number, and is the string tension. Placing quar
Hybrid mesons: old prejudices and new spectroscopy Yu:S:Kalashnikova a a Institute of Theoretical and Experimental Physics, 11759, Moscow, Russia The models for hybrid mesons are discussed, in which the
More informationtoy model. A.A.Penin and A.A.Pivovarov Institute for Nuclear Research of the Russian Academy of Sciences, Moscow , Russia Abstract
On a subtle point of sum rules calculations: toy model. PostScript processed by the SLAC/DESY Libraries on 31 Mar 1995. A.A.Penin and A.A.Pivovarov Institute for Nuclear Research of the Russian Academy
More informationPhoton-Photon Interaction in Glueball Production
7th International Workshop on Astronomy and Relativistic Astrophysics (IWARA 2016) International Journal of Modern Physics: Conference Series Vol. 45 (2017) 1760068 (5 pages) c The Author(s) DOI: 10.1142/S2010194517600680
More informationUAB-FT-335/94 UG-FT-41/94 November 11, 1994 EFFECTIVE CHIRAL LAGRANGIANS WITH AN SU(3)-BROKEN VECTOR-MESON SECTOR A. Bramon 1 Grup de Fsica Teorica, U
UAB-FT-335/94 UG-FT-4/94 November, 994 EFFECTIVE CHIRAL LAGRANGIANS WITH AN SU(3)-BROKEN VECTOR-MESON SECTOR A. Bramon Grup de Fsica Teorica, Universitat Autonoma de Barcelona, 893 Bellaterra (Barcelona),
More informationQuark Model History and current status
Quark Model History and current status Manon Bischoff Heavy-Ion Seminar 2013 October 31, 2013 Manon Bischoff Quark Model 1 Outline Introduction Motivation and historical development Group theory and the
More informationA.A. Godizov. Institute for High Energy Physics, Protvino, Russia
arxiv:1410.886v1 [hep-ph] 0 Oct 2014 QCD and nuclear physics. How to explain the coincidence between the radius of the strong interaction of nucleons and the characteristic scale of neutron-neutron electrostatic
More informationTermodynamics and Transport in Improved Holographic QCD
Termodynamics and Transport in Improved Holographic QCD p. 1 Termodynamics and Transport in Improved Holographic QCD Francesco Nitti APC, U. Paris VII Large N @ Swansea July 07 2009 Work with E. Kiritsis,
More informationarxiv: v2 [hep-ph] 17 Mar 2015
Thermal properties of light tensor mesons via QCD sum rules arxiv:1410.537v [hep-ph] 17 Mar 015 K. Azizi 1, A. Türkan, E. Veli Veliev 3, H. Sundu 4 Department of Physics, Faculty of Arts and Sciences,
More informationThe SU(3) Group SU(3) and Mesons Contents Quarks and Anti-quarks SU(3) and Baryons Masses and Symmetry Breaking Gell-Mann Okubo Mass Formulae Quark-Mo
Lecture 2 Quark Model The Eight Fold Way Adnan Bashir, IFM, UMSNH, Mexico August 2014 Culiacán Sinaloa The SU(3) Group SU(3) and Mesons Contents Quarks and Anti-quarks SU(3) and Baryons Masses and Symmetry
More informationComparing the Broken U3 U3 Linear Sigma Model with. Experiment. Abstract
Comparing the Broken U3 U3 Linear Sigma Model with Experiment. Nils A Törnqvist Physics Dept. University of Helsinki, PB9, Fin-00014 Helsinki, Finland Abstract The linear σ model with broken U3 U3 is compared
More informationTwo Loop Partially Quenched and Finite Volume Chiral Perturbation Theory Results
Two Loop Partially Quenched and Finite Volume Chiral Perturbation Theory Results E-mail: bijnens@thep.lu.se Niclas Danielsson and Division of Mathematical Physics, LTH, Lund University, Box 118, S 221
More informationarxiv: v1 [hep-lat] 4 Nov 2014
Meson Mass Decomposition,2, Ying Chen, Terrence Draper 2, Ming Gong,2, Keh-Fei Liu 2, Zhaofeng Liu, and Jian-Ping Ma 3,4 arxiv:4.927v [hep-lat] 4 Nov 24 (χqcd Collaboration) Institute of High Energy Physics,
More informationQCD and Instantons: 12 Years Later. Thomas Schaefer North Carolina State
QCD and Instantons: 12 Years Later Thomas Schaefer North Carolina State 1 ESQGP: A man ahead of his time 2 Instanton Liquid: Pre-History 1975 (Polyakov): The instanton solution r 2 2 E + B A a µ(x) = 2
More informationarxiv: v1 [hep-lat] 26 Dec 2009
arxiv:091.5037v1 [hep-lat] 6 Dec 009 On Equation of State at physical quark masses Physics Department, Brookhaven National Laboratory, Upton NY 11973 E-mail: petreczk@bnl.gov QCD equation of state is calculated
More informationAxial anomaly s role on conventional mesons, baryons, and pseudoscalar glueball. Theory seminar at the ITP, Uni Giessen 20/12/2017, Giessen, Germany
Axial anomaly s role on conventional mesons, baryons, and pseudoscalar glueball Theory seminar at the ITP, Uni Giessen 20/12/2017, Giessen, Germany J. Kochanowski U Kielce (Poland) & J.W. Goethe U Frankfurt
More informationEstimates of m d m u and dd ūu from QCD sum rules for D and D isospin mass differences
TPI-MINN-92/69-T BUTP-93/2 Estimates of m d m u and dd ūu from QCD sum rules for D and D isospin mass differences V.L. Eletsky, Theoretical Physics Institute, University of Minnesota Minneapolis, MN 55455,
More informationQuark Mass and Flavour Dependence of the QCD Phase Transition. F. Karsch, E. Laermann and A. Peikert ABSTRACT
BI-TP 2000/41 Quark Mass and Flavour Dependence of the QCD Phase Transition F. Karsch, E. Laermann and A. Peikert Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany ABSTRACT We analyze
More informationIs the up-quark massless? Hartmut Wittig DESY
Is the up-quark massless? Hartmut Wittig DESY Wuppertal, 5 November 2001 Quark mass ratios in Chiral Perturbation Theory Leutwyler s ellipse: ( mu m d ) 2 + 1 Q 2 ( ms m d ) 2 = 1 25 m s m d 38 R 44 0
More informationacta physica slovaca vol. 50 No. 6, December 2000 SCALAR MESONS AND GLUEBALLS IN A CHIRAL QUARK MODEL WITH T HOOFT INTERACTION
acta physica slovaca vol 50 No 6, 643 653 December 2000 SCLR MESONS ND GLUEBLLS IN CHIRL QURODEL WITH T HOOFT INTERCTION M Nagy Institute of Physics, Slovak cademy of Sciences, 842 28 Bratislava, Slovakia
More informationLattice Gauge Theory: A Non-Perturbative Approach to QCD
Lattice Gauge Theory: A Non-Perturbative Approach to QCD Michael Dine Department of Physics University of California, Santa Cruz May 2011 Non-Perturbative Tools in Quantum Field Theory Limited: 1 Semi-classical
More informationThe Hadronic Decay Ratios of η 5π at NLO in χpt
EJTP 11, No. 1 (2014) 11 140 Electronic Journal of Theoretical Physics The Hadronic Decay Ratios of η 5π at NLO in χpt M. Goodarzi and H. Sadeghi Department of Physics, Faculty of Science, Arak University,
More informationConfined chirally symmetric dense matter
Confined chirally symmetric dense matter L. Ya. Glozman, V. Sazonov, R. Wagenbrunn Institut für Physik, FB Theoretische Physik, Universität Graz 28 June 2013 L. Ya. Glozman, V. Sazonov, R. Wagenbrunn (Institut
More informationStandard Model & Beyond
XI SERC School on Experimental High-Energy Physics National Institute of Science Education and Research 13 th November 2017 Standard Model & Beyond Lecture III Sreerup Raychaudhuri TIFR, Mumbai 2 Fermions
More informationQuark Model. Ling-Fong Li. (Institute) Note 8 1 / 26
Quark Model Ling-Fong Li (Institute) Note 8 1 / 6 QCD Quark Model Isospin symmetry To a good approximation, nuclear force is independent of the electric charge carried by the nucleons charge independence.
More informationScale anomaly and the proton mass
High Energy Physics in the LHC Era, Valparaiso, Chile, 2012 The proton mass: at the heart of most visible matter Temple University, March 28-29, 2016 Scale anomaly and the proton mass D. Kharzeev Supported
More informationEDMs from the QCD θ term
ACFI EDM School November 2016 EDMs from the QCD θ term Vincenzo Cirigliano Los Alamos National Laboratory 1 Lecture II outline The QCD θ term Toolbox: chiral symmetries and their breaking Estimate of the
More informationPCAC in Nuclear Medium and the Lovelace - Shapiro - Veneziano formula
arxiv:nucl-th/9703015 v1 6 Mar 1997 PCAC in Nuclear Medium and the Lovelace - Shapiro - Veneziano formula J.Pasupathy Centre for Theoretical Studies Indian Institute of Science Bangalore 56001 Abstract
More informationarxiv:hep-ph/ v1 13 Oct 2000
DIRECT CP VIOLATION IN NONLEPTONIC KAON DECAYS BY AN EFFECTIVE CHIRAL LAGRANGIAN APPROACH AT O(p 6 ) 1 A.A. Bel kov 1, G. Bohm 2, A.V. Lanyov 1 and A.A. Moshkin 1 (1) Particle Physics Laboratory, Joint
More informationThe newly discovered Ω c resonances and doubly charmed Ξ cc state. Kazem Azizi. Oct 4, School of Physics, IPM, Tehran- Iran
The newly discovered Ω c resonances and doubly charmed Ξ cc state Kazem Azizi School of Physics Doğuş University-Istanbul Oct 4, 2017 School of Physics, IPM, Tehran- Iran Outline v Introduction to the
More informationRethinking Flavor Physics
Rethinking Flavor Physics René Sondenheimer FSU Jena & L. Egger, A. Maas arxiv:1701.02881 Cold Quantum Coffee, Heidelberg 30th of May 2017 LHC works remarkably well Higgs discovery completed SM 2 LHC works
More informationPROTON STRUCTURE FROM HIGH ENERGY PROTON-PROTON AND ANTIPROTON-PROTON ELASTIC SCATTERING
PROTON STRUCTURE FROM HIGH ENERGY PROTON-PROTON AND ANTIPROTON-PROTON ELASTIC SCATTERING M. M. Islam 1, J. Kašpar 2,3, R. J. Luddy 1 1 Department of Physics, University of Connecticut, Storrs, CT 06269
More informationMass Components of Mesons from Lattice QCD
Mass Components of Mesons from Lattice QCD Ying Chen In collaborating with: Y.-B. Yang, M. Gong, K.-F. Liu, T. Draper, Z. Liu, J.-P. Ma, etc. Peking University, Nov. 28, 2013 Outline I. Motivation II.
More informationThe Pion Form Factor in AdS/QCD
The Pion Form Factor in AdS/QCD 1 0.8 0.6 F π (Q 2 ) 0.4 Richard Lebed 0.2 0 0 1 2 3 4 5 Q 2 (GeV 2 ) CAQCD 08 May 22, 2008 In collaboration with Herry J. Kwee JHEP 0801, 027 (2008) [arxiv:0708.4054] arxiv:0712.1811
More informationZ c (3900) as a Four-Quark State
arxiv:46.6967v [hep-ph] 6 Aug 4 Z c (39) as a Four-Quark State Leonard S. Kisslinger and Steven Casper Department of Physics, Carnegie Mellon University, Pittsburgh, PA 53 Abstract Using the method of
More informationLecture 10. September 28, 2017
Lecture 10 September 28, 2017 The Standard Model s QCD theory Comments on QED calculations Ø The general approach using Feynman diagrams Ø Example of a LO calculation Ø Higher order calculations and running
More informationSUM RULES. T.M.ALIEV, D. A. DEMIR, E.ILTAN,and N.K.PAK. Physics Department, Middle East Technical University. Ankara,Turkey.
RADIATIVE B! B and D! D DECAYS IN LIGHT CONE QCD SUM RULES. T.M.ALIEV, D. A. DEMIR, E.ILTAN,and N.K.PAK Physics Department, Middle East Technical University Ankara,Turkey November 6, 995 Abstract The radiative
More informationQCD Phases with Functional Methods
QCD Phases with Mario PhD-Advisors: Bernd-Jochen Schaefer Reinhard Alkofer Karl-Franzens-Universität Graz Institut für Physik Fachbereich Theoretische Physik Rab, September 2010 QCD Phases with Table of
More informationarxiv:hep-ph/ v1 8 Jul 2003
KAS-P03053 March 12, 2008: hep-ph/ The Pion Velocity in Dense Skyrmion Matter arxiv:hep-ph/0307111v1 8 Jul 2003 Hee-Jung Lee a,b, Byung-Yoon Park a,b, Mannque Rho a,c and Vicente Vento a,d (a) School of
More informationWe review the semileptonic b-hadron branching ratio Br(b! lx) measurements from LEP. Both the inclusive
Semileptonic Decays of the B mesons at LEP Sylvie Rosier-Lees a a LAPP, IN2P3-CNRS, F-7419 Annecy le Vieux Cedex We review the semileptonic b-hadron branching ratio Br(b! lx) measurements from LEP. Both
More informationOpen charm and beauty chiral multiplets in QCD
Physics Letters B 605 (2005) 319 325 www.elsevier.com/locate/physletb Open charm and beauty chiral multiplets in QCD Stephan Narison Laboratoire de Physique Mathématique et Théorique, UM2, Place Eugène
More informationScalar mesons in three-flavor Linear Sigma Models
JLAB-THY-01-34 Scalar mesons in three-flavor Linear Sigma Models Deirdre Black a Amir H. Fariborz b Sherif Moussa a Salah Nasri a Joseph Schechter a a Department of Physics, Syracuse University, Syracuse,
More informationFACTA UNIVERSITATIS Series: Physics, Chemistry and Technology Vol. 4, N o 2, 2006, pp
FACTA UNIVERSITATIS Series: Physics, Chemistry and Technology Vol. 4, N o 2, 2006, pp 331-339 Phenomenology of New Vector Resonances at Future e + e Colliders M. Gintner 1, I. Melo 2, B. Trpišová 3 123
More informationFluid dynamics with a critical point
Fluid dynamics with a critical point Marlene Nahrgang PhD student of Institut für Theoretische Physik, Goethe- Universität Frankfurt am Main. Scientific interests include QCD, quark-gluon plasma, and particle
More information1/31. arxiv:
1/31 D z 2/31 D 3/31 D - Quark Gluon Plasma - Chiral restored phase (RHIC, LHC) - Quarks are confined - Chiral broken phase (J- PARC, and so on) T 4/31 µ - Color superconducovity (?) - Chiral restored
More informationCoupled-channel effects in radiative. Radiative charmonium transitions
Coupled-channel effects in radiative charmonium transitions Feng-Kun Guo Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn IHEP, Beijing, April 16, 2013 Based on: Guo, Meißner, PRL108(2012)112002;
More informationChiral expansion of the π 0 γγ decay width
arxiv:1109.1467v1 [hep-ph] 7 Sep 2011 Chiral expansion of the π 0 γγ decay width Bing An Li Department of Physics and Astronomy, University of Kentucky Lexington, KY 40506, USA Abstract A chiral field
More informationNuclear Force from Lattice QCD
Department of Physics, University of Tokyo, Tokyo 113 0033, JAPAN E-mail: ishii@rarfaxp.riken.jp Sinya AOKI Graduate School of Pure and Applied Science, University of Tsukuba, Tukuba 305 8571, Ibaraki,
More informationAN OVERVIEW OF QUANTUM CHROMODYNAMICS UNIVERSITY OF WASHINGTON PHYS575 FARRAH TAN 12/10/2015
AN OVERVIEW OF QUANTUM CHROMODYNAMICS UNIVERSITY OF WASHINGTON PHYS575 FARRAH TAN 12/10/2015 1 AGENDA SOME DEFINITIONS (QCD, FUNDAMENTAL FORCES) SOME HISTORY (THEORY, SLAC) GAUGE THEORY FLAVORS AND COLORS
More informationScattering amplitudes from lattice QCD
Scattering amplitudes from lattice QCD David Wilson Old Dominion University Based on work in collaboration with J.J. Dudek, R.G. Edwards and C.E. Thomas. Jefferson lab theory center 20th October 2014.
More informationSearch for new physics in rare D meson decays
Search for new physics in rare D meson decays Svjetlana Fajfer and Sasa Prelovsek Department of Physics, University of Ljubljana and J. Stefan Institute, Ljubljana, Slovenia XXXIII INTERNATIONAL CONFERENCE
More informationThe Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field
The Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field Tina Katharina Herbst In Collaboration with B.-J. Schaefer and J.M. Pawlowski arxiv: 18.81 [hep-ph] (to appear in Phys. Lett. B)
More informationBethe Salpeter studies of mesons beyond rainbow-ladder
Bethe Salpeter studies of mesons beyond rainbow-ladder Richard Williams 1 st June 2010 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon College of William and Mary,
More informationarxiv: v1 [hep-ex] 1 Sep 2015
IL NUOVO CIMENTO Vol.?, N.?? arxiv:1509.00124v1 [hep-ex] 1 Sep 2015 Recent Results on Light Hadrons from the BESIII Experiment P. L. Liu( ) on behalf of the BESIII Collaboration Institute of High Energy
More informationThe Strong Interaction and LHC phenomenology
The Strong Interaction and LHC phenomenology Juan Rojo STFC Rutherford Fellow University of Oxford Theoretical Physics Graduate School course Introduction and motivation: QCD and modern high-energy physics
More information