Abstract.
We use a recently developed formalism which generalizes Weinberg's compositeness condition to partial waves higher than s -wave in order to determine the probability of having a K π component in the K* wave function. A fit is made to the K π phase shifts in p -wave, from where the coupling of K* to K π and the K π loop function are determined. These ingredients allow us to determine that the K* is a genuine state, different from a K π component, in a proportion of about 80%.
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References
D.J. Gross, F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973)
H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973)
H.D. Politzer, Phys. Rep. 14, 129 (1974)
C.B. Lang, L. Leskovec, D. Mohler, S. Prelovsek, Phys. Rev. D 86, 054508 (2012) arXiv:1207.3204 [hep-lat]
Z. Fu, K. Fu, Phys. Rev. D 86, 094507 (2012) arXiv:1209.0350 [hep-lat]
R.P. Feynman, M. Gell-Mann, G. Zweig, Phys. Rev. Lett. 13, 678 (1964)
N. Isgur, G. Karl, Phys. Rev. D 18, 4187 (1978)
S. Capstick, W. Roberts, Prog. Part. Nucl. Phys. 45, S241 (2000) nucl-th/0008028
A. Valcarce, H. Garcilazo, F. Fernandez, P. Gonzalez, Rep. Prog. Phys. 68, 965 (2005) hep-ph/0502173
Particle Data Group Collaboration (J. Beringer et al.), Phys. Rev. D 86, 010001 (2012)
J. Vijande, F. Fernandez, A. Valcarce, B. Silvestre-Brac, Eur. Phys. J. A 19, 383 (2004) hep-ph/0310007
S. Weinberg, Physica A 96, 327 (1979)
J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984)
N. Kaiser, P.B. Siegel, W. Weise, Nucl. Phys. A 594, 325 (1995) nucl-th/9505043
J.A. Oller, E. Oset, Nucl. Phys. A 620, 438 (1997) 652
E. Oset, A. Ramos, Nucl. Phys. A 635, 99 (1998) nucl-th/9711022
J.A. Oller, E. Oset, J.R. Pelaez, Phys. Rev. D 59, 074001 (1999) 60
J.A. Oller, E. Oset, Phys. Rev. D 60, 074023 (1999) hep-ph/9809337
J.A. Oller, U.G. Meissner, Phys. Lett. B 500, 263 (2001) hep-ph/0011146
D. Jido, J.A. Oller, E. Oset, A. Ramos, U.G. Meissner, Nucl. Phys. A 725, 181 (2003) nucl-th/0303062
F.-K. Guo, P.-N. Shen, H.-C. Chiang, R.-G. Ping, B.-S. Zou, Phys. Lett. B 641, 278 (2006) hep-ph/0603072
F.K. Guo, R.G. Ping, P.N. Shen, H.C. Chiang, B.S. Zou, Nucl. Phys. A 773, 78 (2006)
C. Garcia-Recio, J. Nieves, E. Ruiz Arriola, M.J. Vicente Vacas, Phys. Rev. D 67, 076009 (2003) hep-ph/0210311
C. Garcia-Recio, J. Nieves, L.L. Salcedo, Phys. Rev. D 74, 034025 (2006) hep-ph/0505233
T. Hyodo, S.I. Nam, D. Jido, A. Hosaka, Phys. Rev. C 68, 018201 (2003) nucl-th/0212026
J.A. Oller, E. Oset, A. Ramos, Prog. Part. Nucl. Phys. 45, 157 (2000) hep-ph/0002193
S. Weinberg, Phys. Rev. B 137, 672 (1965)
V. Baru, J. Haidenbauer, C. Hanhart, Y. Kalashnikova, A.E. Kudryavtsev, Phys. Lett. B 586, 53 (2004) hep-ph/0308129
C. Hanhart, Y.S. Kalashnikova, A.V. Nefediev, Phys. Rev. D 81, 094028 (2010) arXiv:1002.4097 [hep-ph]
M. Cleven, F.-K. Guo, C. Hanhart, U.-G. Meissner, Eur. Phys. J. A 47, 120 (2011) arXiv:1107.0254 [hep-ph]
D. Gamermann, J. Nieves, E. Oset, E. Ruiz Arriola, Phys. Rev. D 81, 014029 (2010)
J. Yamagata-Sekihara, J. Nieves, E. Oset, Phys. Rev. D 83, 014003 (2011)
F. Aceti, E. Oset, Phys. Rev. D 86, 014012 (2012) arXiv:1202.4607 [hep-ph]
S.G. Wojcicki, Phys. Rev. B 135, 484 (1964)
P.M. Dauber, P.E. Schlein, W.E. Slater, H.K. Ticho, Phys. Rev. 153, 1403 (1967)
N. Barash, L. Kirsch, D. Miller, T.H. Tan, Phys. Rev. 156, 1399 (1967)
R. Mercer, P. Antich, A. Callahan, C.Y. Chien, B. Cox, R. Carson, D. Denegri, L. Ettlinger et al., Nucl. Phys. B 32, 381 (1971)
P. Estabrooks, R.K. Carnegie, A.D. Martin, W.M. Dunwoodie, T.A. Lasinski, D.W.G.S. Leith, Nucl. Phys. B 133, 490 (1978)
D.R. Boito, R. Escribano, M. Jamin, JHEP 09, 031 (2010) arXiv:1007.1858 [hep-ph]
D. R. Boito, R. Escribano, M. Jamin, Eur. Phys. J. C 59, 821 (2009) arXiv:0807.4883 [hep-ph]
F.K. Guo, Lectures in the Hadron Physics Summer School 2012 (HPSS2012), Germany
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Xiao, C.W., Aceti, F. & Bayar, M. The small K π component in the K* wave functions. Eur. Phys. J. A 49, 22 (2013). https://doi.org/10.1140/epja/i2013-13022-y
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DOI: https://doi.org/10.1140/epja/i2013-13022-y