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Investigation of the nuclear medium property using f meson as a probe. Hiroaki Ohnishi Advanced meson science Laboratory RIKEN. KEK-PS J-PARC. SPS, RHIC, LHC. QGP. neutron star. T. Hatsuda, H. Shiomi and H. Kuwabara Prog. Theor. Phys. 95(1996)1009. W.Weise NPA553, 59 (1993).
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Investigation of the nuclear medium property using f meson as a probe Hiroaki Ohnishi Advanced meson science Laboratory RIKEN
KEK-PS J-PARC SPS, RHIC, LHC QGP neutron star T. Hatsuda, H. Shiomi and H. Kuwabara Prog. Theor. Phys. 95(1996)1009 W.Weise NPA553, 59 (1993). Introduction • Origin of hadron mass→Spontaneous breaking of chiral symmetry! • Under the extreme condition such as high temperature and/or density, restoration of its broken chiral symmetry has been expected Prediction from theory tells us, Mass of vector meson in medium will be decreasing when density increasing
SPS, RHIC, LHC KEK-PS QGP neutron star W.Weise NPA553, 59 (1993). Introduction Vector meson production in p-A or γ-A → vector mesons are creating dynamically High energy heavy ion collisons →creating high temperature/density medium and vector meson dynamically • Experiments have been done to study property of the vector meson in medium, so far Mass shift of Φ/ω mesons innormal nuclear mater Width boarding of ρmeson? CERES KEK-PS E325 PRL98(2007)042501 NA60 CBELSA-TAPS PRL94(2005)192303
f-Nucleus interaction? • What we learn from KEK-PS E325 results (PRL98(2007)042501) Reduction of the f meson mass observed ! (about 3%), when we selected slowly moving f mesons ここで、山縣さんに理論計算を紹介してもらいます f meson in nucleus can be modeled as More advanced measurement will be performedat J-PARC as E16 experiment. f meson is in the energy pocket created by nuclear potential i.e. Mass reduced due to binding energy of the system Formation of the f-mesic nucleus?? Is it possible to create f mesic nucleus withsuch a small potential depth? 3% mass reduction on f meson, expected depth of the potential must be about 30 MeV
f meson bound state exist? • There are many hints inΛhypernucleus production • Potential depth of Λ-Nucleus ~30MeV • Mass ofΛ=1116 MeV/c2 Those conditions are very similar with the case for f meson • In the case of Λ hypernucleus production via (p,K) reaction,momentum transfer for the reaction is about 400 MeV/c.This is far away from recoilless condition. Analogy from L hyper nucleus production, f meson bound state will be produced even if we selecting elementary process which has large momentum transfer
f production via p(p-,n)f reaction Missing mass spectroscopy can bedone with forward going neutron. f production via p(p,f)f reaction Missing mass spectroscopy can bedone with forward going f meson. How to produce f with low momentum efficiently? • Cross section ~ 4 ub • Cross section ~ 20 ub • Momentum transfer ~ 400 MeV/c • Momentum transfer ~ 200 MeV/c
f production via p(p-,n)f reaction Background = Huge!!!Quesi-free hyperon production etc. f production via p(p,f)f reaction Background = Huge!But, once one can identify third strangeness in the event, thenevent sample will be almost background free How to produce f with low momentum efficiently? f meson production with anti-proton will be primary candidate of the elementary process for the f mesoic-nucleus production.
s s Φ K+ s u u s u u p Λ d d How to identify f meson bound state • Let’s focusing on decay mode • Mass of the f meson will be decreasing about 30 MeV. • i.e. 1019 MeV – 30 MeV = 989 MeV ~ 2 x MKaonMain decay mode for Φmeson, Φ→K+K-, will be suppress. • However, Φ meson is in nucleus. There are many nucleon surrounding them. 1019 MeV – 30 MeV + 938 MeV(proton) = 1927 MeV > MKaon+MΛi.e.Φp→K+Λ will be a dominant decay mode,if f meson is in nucleus. (This mode is not suppressed by OZI role ) i.e. K+L in final state will be a good signal to ensure f meson in medium
Concept for the experiment Nuclear target Outgoingf meson f meson bound state Reaction Anti-proton Missing mass Spectroscopy Decay L K+ Strangeness tag!!
Experimental setup • Good tracking chamber and PID detector around target • Cylindrical Drift Chamber + Kaon ID detector • f meson emitted to forward direction must be detect efficiently.
Experimental setup(2) • Conventional • LEPS like setup • But large dipole magnetbehind solenoid magnetto maintain large forward angle acceptance • Challenging setup • Everything inside large solenoid magnet(~3m long, 1m diameter )
Event rate estimation (2) • Comparison parameters in hypernuclear formation at KEK-SKS and new experiment for f meson bound state ~ 240 Events are expected for one month of data taking period
Summary • Based on the results reported by KEK-PS E325 (mass shift of f meson) together with a similarity between L hyper nucleus production via (p,K) reaction strongly suggested that the production of f mesic nucleus can be possible. • The most promising elementary process for the f mesic nucleus production will be pp→ff channel.(Background free experiment can be achieved, in principle) • Naïve event rate estimation tells us that 240 events candidate for f mesic nucleus will be produce per month,with beam intensity, 2x106/spill, for 1.3 GeV/c anti-proton.
Invariant mass spectra of f in nuclear medium via lepton pairs • Final state interaction の影響が少ないレプトン対測定は、核物質の性質をさぐる有力なツールとなる。 • KEK-PS E325実験の成功。(f->ee) • J-PARC でさらに詳細の研究が行なわれる J-PARC E16 実験 • ミュオン対測定 : 可能である?がそもそも、出てくるミュオン運動量が低い。。。 • ee 測定とは相補的。それだけ?
そもそも、なぜ f->mm measurement???? • CERN-NA45実験(高エネルギー重イオン衝突における電子‐陽電子対測定実験)が終わりレプトン対測定つながりでNA60に参戦してきたH.Specht教授(当時ハイデルベルグ大)がNA60最初の実験データ収集時に言っていた一言。。。 • 私がCERN-NA60で 実験をしていたとき、(高エネルギー重イオン衝突におけるミュオン対測定実験) • CERESで1年かかってとったデータ量を4分でとっている。。。 • 違いは、CERESには電子‐陽電子対トリガーが無い。NA60にはミューオン対トリガーがある。 • ミューオン対測定なので標的が厚い!!!(インジウム標的、1g/cm2を5枚~5g/cm2を使用。) • ただし、CERNではビーム運動量は 核子あたり158 GeV/c、相手にしてるミュオン運動量は数十GeV!だから勝負になった。 • J-PARCで、測定したい low momentum fから崩壊するミュオン対測定って可能? まず狙ってる運動量は?
f->mm measurement の可能性 • 素過程として p(p-,n)f を選択 • Beam momentum = 2 GeV/c とすると 生成断面積は 20 mb • 生成されるf meson の運動量分布 0.4< bg < 1.6 KEK-E325 のbg分布 • いま、検出器として標的を囲むようなCDC型のものを考える。カバーする範囲をビーム軸に対し 0.5<q< p-0.5 とする。 • ミュオン対がアクセプタンスに入る場合の fの運動量分布 しかし、ミュオンの運動量分布は こんな低運動量ミュオントリガーは可能?
How to measure low momentum f ( sqrt(s) < 2GeV ) • One of the example • SND detector • ee collider 実験 f->mm branching ratio を測定した(する)実験 この検出器ではミュオン400MeV以上 530MeV以下を90%以上の効率でID
How to measure low momentum f -(2) • 500 MeV/c まではmuon ID 出来そう。では、500 MeV/c 以上 1200 MeV/c 以下のミュオンは? ~3GeV/c までなら捕まえる検出器が作れる! Belle KLM detector
Muon detector Muon detector EMCal EMCal CDC CDC z z f meson physics at J-PARC • K中間子原子核探索実験 J-PARC E15 (on going!)anti-K N の相互作用の明確な答えを出す • 原子核中で生成された f->ee 測定 J-PARC E16(on going!) • f中間子原子核生成 探索実験 J-PARC LoI • 原子核中で生成された f->mm測定 アイディアのみ(出来たらいいな) • 必要なものは? どうやって? 今後の課題? • さて、 f中間子原子核探索実験と f->mm測定同時に出来ない? Muon absorber ~40cm ~3m なんか、中野さんの言ってた検出器みたい 1.2m 標的周りを Muon absorber
まとめ • J-PARCをfを用いた物質質量の起源探索の最終試験場にする! • その第一弾がすでにE15,E16として準備中 • 第二弾実施のためには、 • 大強度反陽子ビームライン! • 標的周りを囲む検出器システム! • 大立体核前方スペクトロメーター の建設が必要。 • なにはともあれ、(小沢さん的に言うと) 夢を共有していただけるCollaborator が必要(切実。。。) 現在 7名。。。。 実験の具体化はこれから
f->mmを測ると何がすばらしいのか? • 標的原子核中での
f production via p(p-,n)f reaction Background = Huge!!!Quesi-free hyperon production etc. f production via p(p,f)f reaction Cross section ~ 4 ub How to produce f with low momentum efficiently? • Momentum of f generated • Momentum of f generated
Today’s topics • Is there any way to embedded f meson in nuclear matter? • Analogy of pionic, kaonic nucleus • Study of invariant mass spectra of low momentum f meson in nuclear medium • study of f→e+e- : has been proposed as J-PARC E16 • study of f→m+m- : idea of the measurement will be presented in this talk!
Event rate estimation • Event rate for f meson bound state formation are estimated based on the hypernuclear formation rate obtained at KEK-SKS • Event rate seen in hypernuclear formation via (p+,K+) reaction at KEK-PS/K6 with SKS spectrometer • 1x109p induced on 1g/cm2 Carbon target,about 20 grand state 12LC produced • Basic numbers used for the estimation • Beam intensity Ip = 2.0 x 106 / spill • Beam momentum used for the experiment = 1.3 GeV/c • Momentum transfer = 200 MeV/c • p-p →ΦΦcross section = 4/4π(mb/sr)=0.32(mb/sr) • Target thickness 2g/cm2 • Acceptance for forward spectrometer (120 msr) • K+Λ trigger efficiency (ΩCDC x BR(Φp→K+Λ)xBR(Λ→pπ)) = 1.7 sr • Relative capture rate (sticking probability) • Rcapture = exp(-q2/qF2) , q: momentum transfer, qF: fermi momentum
Muon detector EMCal CDC z Experimental setup(2) • Conventional • LEPS like setup • But large dipole magnetbehind solenoid magnetto maintain large forward angle acceptance Aerogel+Hodoscope
Experimental setup(2) • Conventional • LEPS like setup • But large dipole magnetbehind solenoid magnetto maintain large forward angle acceptance If we designed acceptance coverage for the forward spectrometer ~ 120 mSr