The phi meson at finite density from a QCD sum rules + MEM approach

Slides:

Advertisements

Similar presentations

Lattice study for penta-quark states

Advertisements

Su Houng Lee Theme: 1.Will U A (1) symmetry breaking effects remain at high T/  2.Relation between Quark condensate and the ’ mass Ref: SHL, T. Hatsuda,

Su Houng Lee 1. Mesons with one heavy quark 2. Baryons with one heavy quark 3. Quarkonium Arguments based on two point function  can be generalized to.

Koichi Hattori, RBRC Hadron and Hadron Interactions in QCD Mar. 9th, 2015 Charmonium spectroscopy in strong magnetic fields by QCD sum rules.

Nuclear Symmetry Energy from QCD Sum Rule Phys.Rev. C87 (2013) Recent progress in hadron physics -From hadrons to quark and gluon- Feb. 21, 2013.

Nuclear Symmetry Energy from QCD Sum Rule Heavy Ion Meeting , April 13, 2012 Kie Sang JEONG Su Houng LEE (Theoretical Nuclear and Hadron Physics.

Operator product expansion and sum rule approach to the unitary Fermi gas Schladming Winter School “Intersection Between QCD and Condensed Matter”

Su Houng Lee with Kie Sang Jeong 1. Few words on Nuclear Symmetry Energy 2. A QCD sum rule method 3. Preliminary results Nuclear Symmetry Energy from QCD.

XI ｔｈ International Conference on Quark Confinement and the Hadron Petersburg, Russia Philipp Gubler (RIKEN, Nishina Center) Collaborator:

QCD sum rules in a Bayesian approach YIPQS workshop on “Exotics from Heavy Ion Collisions” YITP Philipp Gubler (TokyoTech) Collaborator: Makoto.

Hadron to Quark Phase Transition in the Global Color Symmetry Model of QCD Yu-xin Liu Department of Physics, Peking University Collaborators: Guo H., Gao.

Chiral condensate in nuclear matter beyond linear density using chiral Ward identity S.Goda (Kyoto Univ.) D.Jido （ YITP ） 12th International Workshop on.

MEM analysis of the QCD sum rule and its Application to the Nucleon spectrum Tokyo Institute of Technology Keisuke Ohtani Collaborators : Philipp Gubler,

P. Gubler, K. Morita, and M. Oka, Phys. Rev. Lett. 107, (2011) K. Suzuki, P. Gubler, K. Morita, and M. Oka, arxiv: [hep-th]

Eigo Shintani (KEK) (JLQCD Collaboration) KEKPH0712, Dec. 12, 2007.

@ Brookhaven National Laboratory April 2008 Spectral Functions of One, Two, and Three Quark Operators in the Quark-Gluon Plasma Masayuki ASAKAWA Department.

Hot quarkonium spectral functions from QCD sum rules and MEM Heavy quarks and quarkonia in thermal ECT*, Villazzano, Italy Philipp Gubler.

Nuclear Symmetry Energy from QCD Sum Rule The 5 th APFB Problem in Physics, August 25, 2011 Kie Sang JEONG Su Houng LEE (Theoretical Nuclear and Hadron.

Application of the operator product expansion and sum rules to the study of the single-particle spectral density of the unitary Fermi gas Seminar at Yonsei.

MEM Analysis of Glueball Correlators at T>0 speaker Noriyoshi ISHII (RIKEN, Japan) in collaboration with Hideo SUGANUMA (TITECH, Japan) START.

Modification of nucleon spectral function in the nuclear medium from QCD sum rules Collaborators: Philipp Gubler(ECT*), Makoto Oka Tokyo Institute of Technology.

The phi meson in nuclear matter - recent result from theory - Talk at ECT* Workshop “New perspectives on Photons and Dileptons in Ultrarelativistic Heavy-Ion.

Spectral functions of mesons at finite temperature/density Talk at the 31 st Reimei workshop on hadron physics in extreme conditions at J-PARC, Tokai,

And Mesons in Strange Hadronic Medium at Finite Temperature and Density Rahul Chhabra (Ph.D student) Department Of Physics NIT Jalandhar India In cooperation.

1 Meson mass in nuclear medium Su Houng Lee Thanks to: Hatsuda + former collaborators + and to Kenji Morita(GSI) and Taesoo Song(A&M) 1.Phase transition,

ANALYSES OF D s * DK (B s * BK) VERTICES J. Y. Süngü, Collaborators: K. Azizi * and H. Sundu 2 nd International Conference on Particle Physics in Memoriam.

ユニタリー・フェルミ気体の一粒子スペクトル関数に対する和則の構築基研研究会「熱場の量子論とその応用」 Philipp Gubler (RIKEN, Nishina Center) Collaborators: Y. Nishida (Tokyo Tech), N. Yamamoto.

Quarkonium at finite Temperature from QCD Sum Rules and the Maximum Entropy Method Seminar at the Komaba Nuclear Theory Tokyo University

Charmonia at finite temperature: an approach based on QCD sum rules and the maximum entropy method “Future Prospects of Hadron Physics at J-PARC and Large.

Nuclear Matter Density Dependence of Nucleon Radius and Mass and Quark Condensates in the GCM of QCD Yu-xin Liu Department of Physics, Peking University.

Recent results from QCD sum rule analyses based on the maximum entropy method International Symposium on Chiral Symmetry in Hadrons and

Exact vector channel sum rules at finite temperature Talk at the ECT* workshop “Advances in transport and response properties of strongly interacting systems”

Reevaluation of Neutron Electric Dipole Moment with QCD Sum Rules Natsumi Nagata Nagoya University National Taiwan University 5 November, 2012 J. Hisano,

Vector and axial-vector mesons in nuclear matter – recent results

Thermal modification of bottomonium spectral functions from QCD sum rules with the maximum entropy method Kei Suzuki (Tokyo Institute of Technology)

Nuclear Symmetry Energy in QCD degree of freedom Phys. Rev

P. Gubler, T.T. Takahashi and M. Oka, Phys. Rev. D 94, (2016).

A novel probe of Chiral restoration in nuclear medium

mesons as probes to explore the chiral symmetry in nuclear matter

Modifications of meson spectral functions in nuclear matter

Extending the Linear Sigma Model to Nf = 3

Hadron-structure studies at a neutrino factory

QCD condensates and phi meson spectral moments in nuclear matter

Mesons in medium and QCD sum rule with dim 6 operators

Scalar Meson σ(600) in the QCD Sum Rule

Strangeness and charm in hadrons and dense matter, YITP, May 15, 2017

The Weak Structure of the Nucleon from Muon Capture on 3He

The φ meson in nuclear matter and the strangeness content of the nucleon Philipp Gubler, JAEA P. Gubler and K. Ohtani, Phys. Rev. D 90, (2014).

Study of Strange Quark in the Nucleon with Neutrino Scattering

Charm2010 4TH International Workshop on Charm Physics

R.R. Silva, M.E. Bracco, S.H. Lee, M. Nielsen

A Bayesian Approach to QCD Sum Rules

how is the mass of the nucleon generated?

有限密度・温度におけるハドロンの性質の変化

The Operator Product Expansion Beyond Perturbation Theory in QCD

Reconsideration of the

Exact vector channel sum rules at finite temperature

Proton structure at low Q2

Towards Understanding the In-medium φ Meson with Finite Momentum

QCD sum rules for quarkonium at T>0

Quarkonia at finite T from QCD sum rules and MEM

Scalar D mesons in nuclear matter

QCD和則とMEMを用いた有限密度中のvector mesonの研究の現状と最近の発展

Internal structure of f0(980) meson by fragmentation functions

P. Gubler and M. Oka, Prog. Theor. Phys. 124, 995 (2010).

Lattice study of charmonia in Hot QCD

The future of lattice studies in Korea

Theory on Hadrons in nuclear medium

Effects of the φ-meson on the hyperon production in the hyperon star

Presentation transcript:

The phi meson at finite density from a QCD sum rules + MEM approach YITP workshop on “Hadrons in Nucleus” @ YITP, Kyoto University, Kyoto, Japan 2. 11. 2013 Philipp Gubler (RIKEN, Nishina Center) Collaborator: Keisuke Ohtani (Tokyo Tech)

Contents Motivation What has changed since 1992? First results An update on QCD sum rules of light vector mesons at finite density First results What more is needed? Conclusions

Introduction: Vector mesons at finite density Basic Motivation: Understanding the behavior of matter under extreme conditions Understanding the origin of mass and its relation to chiral symmetry of QCD - Vector mesons: clean probe for experiment To be investigated at J-PARC Firm theoretical understanding is necessary for interpreting the experimental results!

QCD sum rules M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B147, 385 (1979); B147, 448 (1979). In this method the properties of the two point correlation function is fully exploited: is calculated “perturbatively”, using OPE spectral function of the operator χ After the Borel transformation:

More on the OPE in matter non-perturbative condensates perturbative Wilson coefficients Change in hot or dense matter!

Important early study T. Hatsuda and S.H. Lee, Phys. Rev. C 46, R34 (1992). Vector meson masses mainly drop due to changes of the quark condensates. The most important condensates are: for for Important assumption: Might be wrong!

What has changed since 1992? Vacuum No fundamental changes since 1992

What has changed since 1992? Finite density effects May have changed a bit Finite density effects Has changed a lot!! Has changed a little

What has changed since 1992? A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Eur. Phys. J. C 63, 189 (2009). 1992 2013 Some changes, but no big effect.

What has changed since 1992? Value used by Hatsuda and Lee: 45 MeV Taken from G.S. Bali et al., Nucl. Phys. B866, 1 (2013). Value used by Hatsuda and Lee: 45 MeV Recent lattice results are mostly consistent with the old values. The latest trend might point to a somewhat smaller value.

What has changed since 1992? The strangeness content of the nucleon: Taken from M. Gong et al. (χQCD Collaboration), arXiv:1304.1194 [hep-ph]. y ~ 0.04 Value used by Hatsuda and Lee: y=0.22 Too big!! The value of y has shrinked by a factor of about 5: a new analysis is necessary!

First results (vacuum) Analysis of the sum rule is done using the maximum entropy method (MEM), which allows to extract the spectral function from the sum rules without any phenomenological ansatz. mφ=1.05 GeV (Exp: 1.02 GeV) mρ=0.75 GeV (Exp: 0.77 GeV) Used input parameters:

First results (ρ meson at finite density) 200 MeV 0.12 ~ 0.19 Consistent with the result of Hatsuda-Lee. Used input parameters: A. Semke and M.F.M. Lutz, Phys. Lett. B 717, 242 (2012). M. Procura, T.R. Hemmert and W. Weise, Phys. Rev. D 69, 034505 (2004).

φ meson at finite density ruled out !? The φ meson mass shift strongly depends on the strange sigma term.

What happened? Let us examine the OPE at finite density more closely: Measuring the φ meson mass shift in nuclear matter provides a strong constraint to the strange sigma term!

However… Experiments seem to suggest something else: Result of the E325 experiment at KEK 35 MeV mass reduction of the φ meson at nuclear matter density! R. Muto et al, Phys. Rev. Lett. 98, 042501 (2007).

What could be wrong? 1. So far neglected condensates Terms containing higher orders of ms and other so far neglected terms could have a non-negligible effect. Preliminary results suggest that the effects of these terms are small 2. αs corrections These corrections seem to be small 3. Underestimated density dependence of four-quark condensates At this moment, we do not know…

Conclusions We have reanalyzed the light vector meson sum rules at finite density using MEM and the newest sigma-term values For the ρ-meson, we get results consistent with the old Hatsuda-Lee analysis For the φ-meson, due to the small strangeness content of the nucleon, the mass shift might be smaller than previously thought Further study on the reliability of the obtained results are in progress

Backup slide

Estimation of the error of G(M) Gaussianly distributed values for the various parameters are randomly generated. The error is extracted from the resulting distribution of GOPE(M). D.B. Leinweber, Annals Phys. 322, 1949 (1996). PG, M. Oka, Prog. Theor. Phys. 124, 995 (2010).