[PDF]    http://dx.doi.org/10.3952/lithjphys.49110

Open access article / Atviros prieigos straipsnis

Lith. J. Phys. 49, 19–28 (2009)


HEAVY HADRON SPECTROSCOPY AND THE BAG MODEL
A. Bernotas and V. Šimonis
Vilnius University Institute of Theoretical Physics and Astronomy, A. Goštauto 12, LT-01108 Vilnius, Lithuania
E-mail: bernotas@itpa.lt, simonis@itpa.lt

Received 29 December 2008; revised 14 March 2009; accepted 19 March 2009

Some time ago a slightly improved variant of bag model (the modified bag model) suitable for the unified description of light and heavy hadrons was developed. The main goal of the present work was to calculate the masses of the ground state baryons containing bottom quarks in the framework of this model. For completeness the predictions for other heavy hadrons are also given. The reasonable agreement of our results with other theoretical calculations and available experimental data  suggests that our predictions could serve as a useful complementary tool for the interpretation of heavy hadron spectra.
Keywords: bag model, heavy quarks, heavy baryons, hadron spectra
PACS: 12.39.Ba, 14.20.Lq, 14.20.Mr, 14.40.Lb, 14.40.Nd


SUNKIŲJŲ BARIONŲ SPEKTROSKOPIJA IR MAIŠŲ MODELIS
A. Bernotas, V. Šimonis
Vilniaus universiteto Teorinės fizikos ir astronomijos institutas, Vilnius, Lietuva

Taikant modifikuotą MIT maišų modelį, apskaičiuotos sunkiųjų hadronų, į kurių sudėtį įeina „sunkūs“ c ir b kvarkai, pagrindinių būsenų masės. Gautos darbe masių vertės palygintos su kitų autorių įvairiuose modeliuose atliktų skaičiavimų rezultatais bei turimais naujausiais eksperimentų duomenimis. Daugeliu atvejų sutapimas su eksperimentu bei kitais skaičiavimais yra neblogas. Taip pat nurodyti kai kurie modelio trūkumai, aptarti privalumai bei modelio vieta teorinėje hadronų spektroskopijoje.


References / Nuorodos


[1] J.L. Rosner, J. Phys. G 34 (2007) S127,
http://dx.doi.org/10.1088/0954-3899/34/7/S07
[2] K.C. Bowler et al. (UKQCD Collaboration), Phys. Rev. D 54 (1996) 3619,
http://dx.doi.org/10.1103/PhysRevD.54.3619
[3] A. Ali Khan et al., Phys. Rev. D 62 (2000) 054505,
http://dx.doi.org/10.1103/PhysRevD.62.054505
[4] N. Mathur, R. Lewis, and R.M. Woloshyn, Phys. Rev. D 66 (2002) 014502,
http://dx.doi.org/10.1103/PhysRevD.66.014502
[5] J.M. Flynn, F. Mescia, and A.S.B. Tariq, J. High Energy Phys. 07 (2003) 066,
http://dx.doi.org/10.1088/1126-6708/2003/07/066
[6] T. Chiu and T. Hsieh, Nucl. Phys. A 755 (2005) 471,
http://dx.doi.org/10.1016/j.nuclphysa.2005.03.090
[7] H. Na and S. Gottlieb, PoS (LATTICE 2007) 190 [arXiv: 0710.1422],
http://arxiv.org/abs/0710.1422
[8] I.F. Allison et al. (HPQCD, Fermilab Lattice, and UKQCD Collaborations), Phys. Rev. Lett. 94 (2005) 172001,
http://dx.doi.org/10.1103/PhysRevLett.94.172001
[9] F.O. Duraes and M. Nielsen, Phys. Lett. B 658 (2007) 40,
http://dx.doi.org/10.1016/j.physletb.2007.10.054
[10] X. Liu, H. Chen, Y. Liu, A. Hosaka, and S. Zhu, Phys. Rev. D 77 (2008) 014031,
http://dx.doi.org/10.1103/PhysRevD.77.014031
[11] J.G. Körner, M. Krämer, and D. Pirjol, Prog. Part. Nucl. Phys. 33 (1994) 787,
http://dx.doi.org/10.1016/0146-6410(94)90053-1
[12] M. Neubert, Phys. Rept. 245 (1994) 259,
http://dx.doi.org/10.1016/0370-1573(94)90091-4
[13] T. Mannel, Rep. Prog. Phys. 60 (1997) 1113,
http://dx.doi.org/10.1088/0034-4885/60/10/003
[14] I. Bigi, M. Shifman, and N. Uraltsev, Ann. Rev. Nucl. Part. Sci. 47 (1997) 591,
http://dx.doi.org/10.1146/annurev.nucl.47.1.591
[15] L.A. Copley, N. Isgur, and G. Karl, Phys. Rev. D 20 (1979) 768 [Erratum – ibid. 23 (1991) 817],
http://dx.doi.org/10.1103/PhysRevD.20.768
[16] S. Godfrey and N. Isgur, Phys. Rev. D 32 (1985) 189,
http://dx.doi.org/10.1103/PhysRevD.32.189
[17] S. Capstic and N. Isgur, Phys. Rev. D 34 (1986) 2809,
http://dx.doi.org/10.1103/PhysRevD.34.2809
[18] M. Pervin and W. Roberts, Phys. Rev. C 77 (2008) 025202,
http://dx.doi.org/10.1103/PhysRevC.77.025202
[19] W. Roberts and M. Pervin, Int. J. Mod. Phys. A 23 (2008) 2817,
http://dx.doi.org/10.1142/S0217751X08041219
[20] F. Coester, K. Dannbom, and D.O. Riska, Nucl. Phys. A 634 (1998) 335,
http://dx.doi.org/10.1016/S0375-9474(98)00142-0
[21] H. Garcilazo, J. Vijande, and A. Valcarce, J. Phys. G 34 (2007) 961,
http://dx.doi.org/10.1088/0954-3899/34/5/014
[22] C. Albertus, J.E. Amaro, E. Hernández, and J. Nieves, Nucl. Phys. A 740 (2004) 333,
http://dx.doi.org/10.1016/j.nuclphysa.2004.04.114
[23] C. Albertus, J.E. Amaro, E. Hernández, and J. Nieves, Nucl. Phys. A 755 (2005) 439,
http://dx.doi.org/10.1016/j.nuclphysa.2005.03.052
[24] C. Albertus, E. Hernández, J. Nieves, and J.M. Verde-Velasco, Eur. Phys. J. A 31 (2007) 691,
http://dx.doi.org/10.1140/epja/i2006-10242-2
[25] S.S. Gershtein, V.V. Kiselev, A.K. Likhoded, and A.I. Onishchenko, Phys. Rev. D 62 (2000) 054021,
http://dx.doi.org/10.1103/PhysRevD.62.054021
[26] V.V. Kiselev, A.K. Likhoded, O.N. Pakhomova, and V.A. Saleev, Phys. Rev. D 66 (2002) 034030,
http://dx.doi.org/10.1103/PhysRevD.66.034030
[27] S. Migura, D. Merten, B. Metsch, and H. Petry, Eur. Phys. J. A 28 (2006) 41,
http://dx.doi.org/10.1140/epja/i2006-10017-9
[28] D. Ebert, R.N. Faustov, V.O. Galkin, A.P. Martynenko, and V.A. Saleev, Z. Phys. C 76 (1997) 111,
http://dx.doi.org/10.1007/s002880050534
[29] D. Ebert, R.N. Faustov, V.O. Galkin, and A.P. Martynenko, Phys. Rev. D 66 (2002) 014008,
http://dx.doi.org/10.1103/PhysRevD.66.014008
[30] D. Ebert, R.N. Faustov, and V.O. Galkin, Phys. Rev. D 72 (2005) 034026,
http://dx.doi.org/10.1103/PhysRevD.72.034026
[31] A. De Rújula, H. Georgi, and S.L. Glashow, Phys. Rev. D 12 (1975) 147,
http://dx.doi.org/10.1103/PhysRevD.12.147
[32] L.Ya. Glozman and D.O. Riska, Nucl. Phys. A 603 (1996) 326 [Erratum – ibid. 620 (1997) 510],
http://dx.doi.org/10.1016/0375-9474(96)80005-C
[33] L.Ya. Glozman,W. Plessas, K. Varga, and R.F.Wagenbrunn, Phys. Rev. D 58 (1998) 094030,
http://dx.doi.org/10.1103/PhysRevD.58.094030
[34] J. Vijande, F. Fernández, and A. Valcarce, J. Phys. G 31 (2005) 481,
http://dx.doi.org/10.1088/0954-3899/31/5/017
[35] T. DeGrand, R.L. Jaffe, K. Johnson, and J. Kiskis, Phys. Rev. D 12 (1975) 2060,
http://dx.doi.org/10.1103/PhysRevD.12.2060
[36] R.L. Jaffe and J. Kiskis, Phys. Rev. D 13 (1976) 1355,
http://dx.doi.org/10.1103/PhysRevD.13.1355
[37] W.A. Ponce, Phys. Rev. D 19 (1979) 2197,
http://dx.doi.org/10.1103/PhysRevD.19.2197
[38] D. Izatt, C. DeTar, and M. Stephenson, Nucl. Phys. B 199 (1982) 269,
http://dx.doi.org/10.1016/0550-3213(82)90347-9
[39] A. Bernotas and V. Šimonis, Nucl. Phys. A. 741 (2004) 179,
http://dx.doi.org/10.1016/j.nuclphysa.2004.05.017
[40] L.C.L. Hollenberg and B.H.J. McKellar, J. Phys. G 16 (1990) 31,
http://dx.doi.org/10.1088/0954-3899/16/1/006
[41] J.F. Donoghue and K. Johnson, Phys. Rev. D 21 (1980) 1975,
http://dx.doi.org/10.1103/PhysRevD.21.1975
[42] C. Amsler et al. (Particle Data Group), Phys. Lett. B 667 (2008) 1,
http://dx.doi.org/10.1016/j.physletb.2008.07.018
[43] J. Franklin, D.B. Lichtenberg, W. Namgung, and D. Carydas, Phys. Rev. D 24 (1981) 2910,
http://dx.doi.org/10.1103/PhysRevD.24.2910
[44] A. Bernotas and V. Šimonis, Lithuanian J. Phys. 48 (2008) 127,
http://dx.doi.org/10.3952/lithjphys.48202
[45] J. Schaffner-Bielich and A.P. Vischer, Phys. Rev. D 57 (1998) 4142,
http://dx.doi.org/10.1103/PhysRevD.57.4142
[46] F. Myhrer, G.E. Brown, and Z. Xu, Nucl. Phys. A 362 (1981) 317,
http://dx.doi.org/10.1016/0375-9474(81)90496-6
[47] P.J. Mulders and A.W. Thomas, J. Phys. G 9 (1983) 1159,
http://dx.doi.org/10.1088/0305-4616/9/10/005
[48] K. Saito, Prog. Theor. Phys. 71 (1984) 775,
http://dx.doi.org/10.1143/PTP.71.775
[49] J. Zeng, J.W. Van Orden, and W. Roberts, Phys. Rev. D 52 (1995) 5229,
http://dx.doi.org/10.1103/PhysRevD.52.5229
[50] D. Ebert, R.N. Faustov, and V.O. Galkin, Phys. Lett. B 635 (2006) 93,
http://dx.doi.org/10.1016/j.physletb.2006.02.042
[51] D. Ebert, R.N. Faustov, and V.O. Galkin, Phys. Rev. D 67 (2003) 014027,
http://dx.doi.org/10.1103/PhysRevD.67.014027
[52] B. Aubert et al. (BABAR Collaboration), Phys. Rev. Lett. 101 (2008) 071801,
http://dx.doi.org/10.1103/PhysRevLett.101.071801
[53] S.N. Gupta and J.M. Johnson, Phys. Rev. D 53 (1996) 312,
http://dx.doi.org/10.1103/PhysRevD.53.312
[54] S.S. Gershtein, V.V. Kiselev, A.K. Likhoded, and A.V. Tkabladze, Phys. Rev. D 51 (1995) 3613,
http://dx.doi.org/10.1103/PhysRevD.51.3613
[55] E.J. Eichten and C. Quigg, Phys. Rev. D 49 (1994) 5845,
http://dx.doi.org/10.1103/PhysRevD.49.5845
[56] S. Godfrey, Phys. Rev. D 70 (2004) 054017,
http://dx.doi.org/10.1103/PhysRevD.70.054017
[57] L.P. Fulcher, Phys. Rev. D 60 (1999) 074006,
http://dx.doi.org/10.1103/PhysRevD.60.074006
[58] T. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 100 (2008) 182002,
http://dx.doi.org/10.1103/PhysRevLett.100.182002
[59] V.M. Abazov et al. (DØ Collaboration), Phys. Rev. Lett. 101 (2008) 012001,
http://dx.doi.org/10.1103/PhysRevLett.101.012001
[60] D.B. Lichtenberg, R. Roncaglia, and E. Predazzi, Phys. Rev. D 53 (1996) 6678,
http://dx.doi.org/10.1103/PhysRevD.53.6678
[61] V.M. Abazov et al. (DØ Collaboration), Phys. Rev. Lett. 101 (2008) 232002,
http://dx.doi.org/10.1103/PhysRevLett.101.232002
[62] M. Mattson et al. (SELEX Collaboration), Phys. Rev. Lett. 89 (2002) 112001,
http://dx.doi.org/10.1103/PhysRevLett.89.112001
[63] A. Ocherashvili et al. (SELEX Collaboration), Phys. Lett. B 628 (2005) 18,
http://dx.doi.org/10.1016/j.physletb.2005.09.043
[64] B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 74 (2006) 011103(R),
http://dx.doi.org/10.1103/PhysRevD.74.011103
[65] R. Chistov et al. (Belle Collaboration), Phys. Rev. Lett. 97 (2006) 162001,
http://dx.doi.org/10.1103/PhysRevLett.97.162001
[66] T.A. DeGrand, Ann. Phys. (N.Y.) 101 (1976) 496,
http://dx.doi.org/10.1016/0003-4916(76)90021-X
[67] F. Myhrer and J. Wroldsen, Phys. Lett. B 139 (1984) 81,
http://dx.doi.org/10.1016/0370-2693(84)90039-X
[68] Y. Umino and F. Myhrer, Phys. Rev. D 39 (1989) 3391,
http://dx.doi.org/10.1103/PhysRevD.39.3391
[69] A.H. Örsland and H. Högaasen, Eur. Phys. J. C 9 (1999) 503,
http://dx.doi.org/10.1007/s100520050044