The magnetic moments of J = 1/2 and J = 3/2 heavy baryons are calculated in the bag model with center-of-mass motion corrections. For the spin 1/2 baryons containing three quarks of different flavours the effect of hyperfine mixing is examined in detail. The results of the work are compared with predictions obtained in various other approaches and models.

Keywords: bag model, magnetic moments, heavy baryons, state mixing
PACS: 12.39.Ba, 13.40.Em, 14.20.Lq, 14.20.Mr

SUNKIŲJŲ BARIONŲ MAGNETINIŲ MOMENTŲ SKAIČIAVIMAS
TAIKANT MODIFIKUOTĄ KVARKŲ MAIŠŲ MODELĮ
A. Bernotas^a, V. Šimonis^b
aVilniaus universiteto Fizikos fakultetas, Vilnius, Lietuva
^bVilniaus universiteto Teorinės fizikos ir astronomijos institutas, Vilnius, Lietuva

Suskaičiuoti sunkiųjų barionų, kurių judėjimo kiekio momentai J = 1/2 ir J = 3/2, magnetiniai momentai. Naudotas kvarkų maišų modelis su masių centro judėjimo pataisomis. Tuo atveju, kai pusinio sukinio barionai yra sudaryti iš skirtingų aromatų kvarkų, būsenų maišymasis dėl hipersmulkiosios sąveikos išnagrinėtas smulkiau. Darbo rezultatai palyginami su įvertinimais, gautais naudojant kitus metodus ir modelius.

References / Nuorodos

[1] E. Klempt and J.M. Richard, Rev. Mod. Phys. 82, 1095 (2010),
http://dx.doi.org/10.1103/RevModPhys.82.1095
[2] S.K. Bose and L.P. Singh, Phys. Rev. D 22, 773 (1980),
http://dx.doi.org/10.1103/PhysRevD.22.773
[3] J. Franklin, D.B. Lichtenberg, W. Namgung, and D. Carydas, Phys. Rev. D 24, 2910 (1981),
http://dx.doi.org/10.1103/PhysRevD.24.2910
[4] R.L. Jaffe and J. Kiskis, Phys. Rev. D 13, 1355 (1976),
http://dx.doi.org/10.1103/PhysRevD.13.1355
[5] W.A. Ponce, Phys. Rev. D 19, 2197 (1979),
http://dx.doi.org/10.1103/PhysRevD.19.2197
[6] A. Bernotas and V. Šimonis, arXiv:1206.6764v2 (2012),
http://lanl.arxiv.org/abs/1206.6764v2
[7] A. Bernotas and V. Šimonis, Nucl. Phys. A 741, 179 (2004),
http://dx.doi.org/10.1016/j.nuclphysa.2004.05.017
[8] A. Halprin and A.K. Kerman, Phys. Rev. D 26, 2532 (1982),
http://dx.doi.org/10.1103/PhysRevD.26.2532
[9] R.J. Johnson and M. Shah-Jahan, Phys. Rev. D 15, 1400 (1977),
http://dx.doi.org/10.1103/PhysRevD.15.1400
[10] T. DeGrand, R.L. Jaffe, K. Johnson, and J. Kiskis, Phys. Rev. D 12, 2060 (1975),
http://dx.doi.org/10.1103/PhysRevD.12.2060
[11] M.C. Bañuls, I. Scimemi, J. Bernabéu, V. Giménez, and A. Pich, Phys. Rev. D 61, 074007 (2000), http://dx.doi.org/10.1103/PhysRevD.61.074007
[12] A. Bernotas and V. Šimonis, Lith. J. Phys. 48, 127 (2008),
http://dx.doi.org/10.3952/lithjphys.48202
[13] W. Roberts and M. Pervin, Int. J. Mod. Phys. A 23, 2817 (2008),
http://dx.doi.org/10.1142/S0217751X08041219
[14] W. Roberts and M. Pervin, Int. J. Mod. Phys. A 24, 2401 (2009),
http://dx.doi.org/10.1142/S0217751X09043407
[15] B. Juliá-Díaz and D.O. Riska, Nucl. Phys. A 739, 69 (2004),
http://dx.doi.org/10.1016/j.nuclphysa.2004.03.078
[16] N. Barik and M. Das, Phys. Rev. D 28, 2823 (1983),
http://dx.doi.org/10.1103/PhysRevD.28.2823
[17] A. Faessler, T. Gutsche, M.A. Ivanov, J.G. Körner, V.E. Lyubovitskij, D. Nicmorus, and K. Pumsa-ard, Phys. Rev. D 73, 094013 (2006),
http://dx.doi.org/10.1103/PhysRevD.73.094013
[18] B. Silvestre-Brac, Few-Body Systems 20, 1 (1996),
http://dx.doi.org/10.1007/s006010050028
[19] C. Albertus, E. Hernández, J. Nieves and J.M. Verde-Velasco, Eur. Phys. J. A 32, 183 (2007) [Erratum ibid. A 36, 119 (2008)], http://dx.doi.org/10.1140/epja/i2007-10364-y
[20] S. Kumar, R. Dhir, and R.C. Verma, J. Phys. G 31, 141 (2005),
http://dx.doi.org/10.1088/0954-3899/31/2/006
[21] R. Dhir and R.C. Verma, Eur. Phys. J. A 42, 243 (2009),
http://dx.doi.org/10.1140/epja/i2009-10872-8
[22] B. Patel, A.K. Rai, and P.C. Vinodkumar, J. Phys. G 35, 065001 (2008),
http://dx.doi.org/10.1088/0954-3899/35/6/065001
[23] B. Patel, A. Majethiya, and P.C. Vinodkumar, Pramana 72, 679 (2009),
http://dx.doi.org/10.1007/s12043-009-0061-4
[24] N. Sharma, H. Dahiya, P.K. Chatley, and M. Gupta, Phys. Rev. D 81, 073001 (2010),
http://dx.doi.org/10.1103/PhysRevD.81.073001
[25] M.J. Savage, Phys. Lett. B 326, 303 (1994),
http://dx.doi.org/10.1016/0370-2693(94)91326-9
[26] Shi-lin Zhu, W-Y.P. Hwang, and Ze-sen Yang, Phys. Rev. D 56, 7273 (1997),
http://dx.doi.org/10.1103/PhysRevD.56.7273
[27] T.M. Aliev, A. Özpineci, and M. Savci, Phys. Rev. D 65, 056008 (2002),
http://dx.doi.org/10.1103/PhysRevD.81.073001
[28] T.M. Aliev, K. Azizi, and A. Özpineci, Pys. Rev. D 77, 114006 (2008),
http://dx.doi.org/10.1103/PhysRevD.65.056008
[29] T.M. Aliev, K. Azizi, and A. Özpineci, Nucl. Phys. B 808, 137 (2009),
http://dx.doi.org/10.1016/j.nuclphysb.2008.09.018
[30] A. Faessler, T. Gutsche, M.A. Ivanov, J.G. Körner, and V.E. Lyubovitskij, Phys. Rev. D 80, 034025 (2009), http://dx.doi.org/10.1103/PhysRevD.80.034025
[31] M. Karliner and H.J. Lipkin, Phys. Lett. B 660, 539 (2008),
http://dx.doi.org/10.1016/j.physletb.2008.01.023