Advanced Search
Volume 41 Issue 6
Jun.  2015
Turn off MathJax
Article Contents
Journal of Beijing University of Aeronautics and Astronautics  > 2015  >  41(6): 1007-1011.
ZHOU Dan, CUI Erliang, CHEN Huaxing, et al. K-π interaction in finite volume and the K* resonance[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(6): 1007-1011. doi: 10.13700/j.bh.1001-5965.2014.0411(in Chinese)
Citation: ZHOU Dan, CUI Erliang, CHEN Huaxing, et al. K-π interaction in finite volume and the K* resonance[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(6): 1007-1011. doi: 10.13700/j.bh.1001-5965.2014.0411(in Chinese)
shu

K-π interaction in finite volume and the K* resonance

doi: 10.13700/j.bh.1001-5965.2014.0411

  • School of Physics and Nuclear Energy Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 09 Jul 2014
  • Publish Date: 20 Jun 2015
    Abstract
  • Firstly, the K-π interaction in P-wave in a finite volume using the chiral unitary approach was studied, to find an efficient strategy to obtain K-π phase shifts and thus the K* meson properties from energy levels could be obtained in lattice calculations. This method has been applied to provide K-π shifts in infinite space very successfully. Secondly, the energy levels, which are functions of the cubic box size and the pion mass, were evaluated, and the K-π phase shifts were evaluated based on the physical properties of K* meson. Finally, in order to compare with the lattice quantum chromodynamics (QCD) results, non-physical pion masses were adopted to calculate energy levels of the K* meson. Comparison shows that results from approach mentioned above agree well with those from lattice QCD: using pion mass 266 MeV, we obtain two energy levels, 924.0 MeV and 1483.0 MeV respectively, which accord well with the lattice QCD results, 915.6 MeV and 1522.3 MeV respectively.

     

    • FullText(HTML)
  • loading
    • References(23)
  • [1]
    Lüscher M.Volume dependence of the energy spectrum in massive quantum field theories II:Scattering states[J].Communication in Mathematical Physics, 1986, 105(2):153-188.
    [2]
    Döring M, Meiβner U G, Oset E, et al.Unitarized chiral perturbation theory in a finite volume:Scalar meson sector[J].European Physical Journal A, 2011, 47(11):139-1-139-15.
    [3]
    Döring M, Haidenbauer J, Meiβner U G, et al.Dynamical coupled-channel approaches on a momentum lattice[J].European Physical Journal A, 2011, 47(12):163-1-163-7.
    [4]
    Torres A M, Dai L R, Koren C, et al.The KD, ηDs interaction in finite volume and the Ds*0 (2317) resonance[J].Physical Review D, 2012, 85(1):014027.
    [5]
    Döring D, Meiβner U G.Finite volume effects in pion-kaon scattering and reconstruction of the κ (800)resonance[J].Journal of High Energy Physics, 2012, 1201:009.
    [6]
    Roca L, Oset E.Scattering of unstable particles in a finite volume:The case of πρ scattering and the a1(1260) resonance[J].Physical Review D, 2012, 85(5):054507.
    [7]
    Chen H X, Oset E.ππ interaction in the ρ channel in finite volume[J].Physical Review D, 2013, 87(1):016014.
    [8]
    Lang C B, Luka L, Daniel M, et al.Kπ scattering for isospin 1/2 and 3/2 in lattice QCD[J].Physical Review D, 2012, 86(5):054508.
    [9]
    Fu Z, Fu K.Lattice QCD study on K* (892)meson decay width[J].Physical Review D, 2012, 86(9):094057.
    [10]
    Oller J A, Oset E.N/D description of two meson amplitudes and chiral symmetry[J].Physical Review D, 1999, 60(7):074023.
    [11]
    Xiao C W, Aceti F, Bayar M.The small K-π component in the K* wave functions[J].European Physical Journal A, 2013, 49(2):22.
    [12]
    Oller J A, Oset E.Chiral symmetry amplitudes in the S wave isoscalar and isovector channels and the σ, f0 (980), a0 (980)scalar mesons[J].Nuclear Physics A, 1997, 620(4):438-456.
    [13]
    Oller J A, Meissner U G.Chiral dynamics in the presence of bound states:Kaon nucleon interactions revisited[J].Physics Letters B, 2001, 500(3-4):263-272.
    [14]
    Oller J A, Oset E, Palomar J E.Pion and kaon vector form-factors[J].Physical Review D, 2001, 63(11):114009.
    [15]
    Xie J J, Oset E.The DN, πΣc interaction in finite volume and the Λc(2595) resonance[J].European Physical Journal A, 2012, 48(10):146.
    [16]
    Boucaud P, Dimopoulos P, Farchioni F, et al.Dynamical twisted mass fermions with light quarks[J].Physics Letters B, 2007, 650:304-311.
    [17]
    Beane S R, Luu T C, Orginos K, et al.Precise determination of the I=2 ππ scattering length from mixed-action lattice QCD[J].Physical Review D, 2008, 77(1):014505.
    [18]
    Noaki J, Aoki S, Chiu T W, et al.Light meson spectrum with Nf=2+1 dynamical overlap fermions[C]//Proceddings, 26th International Symposium on Lattice Field Teory (Lattice 2008).Italy:PoS Lattice, 2008:107.
    [19]
    Estabrooks P, Carnegie R K, Martin A D, et al.Study of K-π scattering using the reactions K±p→K±π+n and K±p→K±π－Δ++ at 13-GeV/c[J].Nuclear Physics B, 1978, 133(3):490-524.
    [20]
    Mercer R, Antich P, Callahan A, et al.K-π scattering phase shifts determined from the reactions K+p→K+π－Δ++ and K+p→K0π0Δ++[J].Nuclear Physics B, 1971, 32(2):381-414.
    [21]
    Lang C B, Mohler D, Prelovsek S, et al.Coupled channel analysis of the ρ meson decay in lattice QCD[J].Physical Review D, 2011, 84(5):054503.
    [22]
    Prelovsek S, Leskovec L, Lang C B, et al.Kπ scattering and the K* decay width from lattice QCD[J].Physical Review D, 2013, 88(5):054508.
    [23]
    Beringer J, Arguin J F, Barnett R M, et al.Review of Particle Physics[J].Physical Review D, 2012, 86(1):010001.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views(707) PDF downloads(456) Cited by()
    Proportional views
    Related

    Copyright © Journal of Beijing University of Aeronautics and Astronautics

    Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn

    Supported by: Beijing Renhe Information Technology Co., Ltd.    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return