Abstract
We review in this paper a series of recent works on properties of singly heavy baryons, based on a pion mean-field approach. In the limit of an infinitely heavy-quark mass, the heavy quark inside a heavy baryon can be regarded as a static color source. In this limit, a heavy baryon can be viewed as Nc − 1 valence quarks bound by the pion mean fields which are created self-consistently by the presence of the Nc valence quarks. We show that this mean-field approach can successfully describe the masses and the magnetic moments of the lowest-lying singly heavy baryons, using all the parameters fixed in the light-baryon sector except for the hyperfine spin-spin interactions. We also review a recent work on identifying the newly found excited Ωc baryons reported by the LHCb Collaboration. We discuss possible scenarios to identify them. Finally, we give a future perspective on this pion mean-field approach.
Similar content being viewed by others
References
N. Isgur and M. B. Wise, Phys. Lett. B 232, 113 (1989).
N. Isgur and M. B. Wise, Phys. Rev. Lett. 66, 1130 (1991).
H. Georgi, Phys. Lett. B 240, 447 (1990).
A. V. Manohar and M. B. Wise, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 10, 1 (2000).
T. Aaltonen et al. [CDF Collaboration], Phys. Rev. Lett. 99, 202001 (2007).
S. Chatrchyan et al. [CMS Collaboration], Phys. Rev. Lett. 108, 252002 (2012).
V. M. Abazov et al. [D0 Collaboration], Phys. Rev. Lett. 101, 232002 (2008).
T. Kuhr [CDF and D0 Collaborations], arXiv:1109.1944 [hep-ex].
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 109, 172003 (2012).
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 110, 182001 (2013).
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 113, 032001 (2014).
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 113, 242002 (2014).
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 114, 062004 (2015).
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 115, 072001 (2015) [arXiv:1507.03414 [hep-ex]].
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 117, 082002 (2016) [arXiv:1604.05708 [hep-ex]].
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 117, 082003 (2016) Addendum: [Phys. Rev. Lett. 117, 109902 (2016)] Addendum: [Phys. Rev. Lett. 118, 119901 (2017)] [arXiv:1606.06999 [hep-ex]].
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 118, 022003 (2017) [arXiv:1606.07895 [hep-ex]].
R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 118, 182001 (2017).
J. Yelton et al. [Belle Collaboration], Phys. Rev. D 97, 051102 (2018) [arXiv:1711.07927 [hep-ex]].
E. Witten, Nucl. Phys. B 160, 57 (1979).
E. Witten, Nucl. Phys. B 223, 422 (1983) and Nucl. Phys. B 223, 433 (1983).
W. Pauli and S. M. Dancoff, Phys. Rev. 62, 85 (1942).
T. H. R. Skyrme, Proc. Roy. Soc. Lond. A 260, 127 (1961).
S. Coleman, Aspects of Symmetry (Cambridge University Press, New York, 1985).
D. Diakonov, V. Y. Petrov and P. V. Pobylitsa, Nucl. Phys. B 306, 809 (1988).
C. V. Christov, A. Blotz, H-Ch. Kim, P. Pobylitsa, T. Watabe, T. Meissner, E. Ruiz Arriola and K. Goeke, Prog. Part. Nucl. Phys. 37, 91 (1996).
D. Diakonov, hep-ph/9802298.
D. Diakonov and V. Y. Petrov, Nucl. Phys. B 245, 259 (1984).
D. Diakonov and V. Y. Petrov, Nucl. Phys. B 272, 457 (1986).
E. Guadagnini, Nucl. Phys. B 236, 35 (1984).
P. O. Mazur, M. A. Nowak and M. Praszałowicz, Phys. Lett. 147B, 137 (1984).
S. Jain and S. R. Wadia, Nucl. Phys. B 258, 713 (1985).
A. Blotz, D. Diakonov, K. Goeke, N. W. Park, V. Petrov and P. V. Pobylitsa, Nucl. Phys. A 555, 765 (1993).
G. S. Yang and H-Ch. Kim, Prog. Theor. Phys. 128, 397 (2012) [arXiv:1010.3792 [hep-ph]].
H-Ch. Kim, A. Blotz, M. V. Polyakov and K. Goeke, Phys. Rev. D 53, 4013 (1996).
A. Silva, H-Ch. Kim and K. Goeke, Phys. Rev. D 65, 014016 (2002) Erratum: [Phys. Rev. D 66, 039902 (2002)].
T. Ledwig, A. Silva and H-Ch. Kim, Phys. Rev. D 82, 034022 (2010).
H-Ch. Kim, M. V. Polyakov, A. Blotz and K. Goeke, Nucl. Phys. A 598, 379 (1996) [hep-ph/9506422].
M. Wakamatsu and N. Kaya, Prog. Theor. Phys. 95, 767 (1996).
H-Ch. Kim, M. Praszalowicz and K. Goeke, Phys. Rev. D 57, 2859 (1998) [hep-ph/9706531].
H-Ch. Kim, M. Polyakov, M. Praszalowicz, G. S. Yang and K. Goeke, Phys. Rev. D 71, 094023 (2005) [hepph/0503237].
T. Ledwig, A. Silva, H-Ch. Kim and K. Goeke, JHEP 0807, 132 (2008).
G. S. Yang and H-Ch. Kim, Phys. Rev. C 92, 035206 (2015) [arXiv:1504.04453 [hep-ph]].
D. Diakonov, V. Petrov, P. Pobylitsa, M. V. Polyakov and C. Weiss, Nucl. Phys. B 480, 341 (1996).
M. Wakamatsu, Phys. Rev. D 67, 034005 (2003).
H-Ch. Kim, M. V. Polyakov and K. Goeke, Phys. Rev. D 53, 4715R (1996) [hep-ph/9509283].
H-Ch. Kim, M. V. Polyakov and K. Goeke, Phys. Lett. B 387, 577 (1996) [hep-ph/9604442].
P. Schweitzer, D. Urbano, M. V. Polyakov, C. Weiss, P. V. Pobylitsa and K. Goeke, Phys. Rev. D 64, 034013 (2001) [hep-ph/0101300].
K. Goeke, M. V. Polyakov and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001) [hep-ph/0106012].
Gh-S. Yang, H-Ch. Kim, M. V. Polyakov and M. Praszałowicz, Phys. Rev. D 94, 071502 (2016).
D. Diakonov, arXiv:1003.2157 [hep-ph].
J. Y. Kim, H-Ch. Kim and G. S. Yang, arXiv:1801.09405 [hep-ph].
G. S. Yang and H-Ch. Kim, arXiv:1802.05416 [hep-ph].
J. Y. Kim and H-Ch. Kim, arXiv:1803.04069 [hep-ph].
H-Ch. Kim, M. V. Polyakov and M. Praszałowicz, Phys. Rev. D 96, 014009 (2017) Addendum: [Phys. Rev. D 96, 039902 (2017)] [arXiv:1704.04082 [hep-ph]].
H-Ch. Kim, M. V. Polyakov, M. Praszalowicz and G. S. Yang, Phys. Rev. D 96, 094021 (2017) Erratum: [Phys. Rev. D 97, 039901 (2018)] [arXiv:1709.04927 [hepph]].
G. S. Yang, H-Ch. Kim and M. V. Polyakov, Phys. Lett. B 695, 214 (2011).
Ya.B. Zeldovich and A.D. Sakharov, Yad. Fiz 4, 395 (1966); Sov. J. Nucl. Phys. 4, 283 (1967); Acta Phys. Hung. 22, 153 (1967).
R. Aaij et al. [LHCb Collaboration], arXiv:1707.01621 [hep-ex].
C. Patrignani et al. (Particle Data Group), Chin. Phys. C 40, 100001 (2016) and 2017 update.
M. Praszalowicz, T. Watabe and K. Goeke, Nucl. Phys. A 647, 49 (1999) [hep-ph/9806431].
M. C. Banuls, I. Scimemi, J. Bernabeu, V. Gimenez and A. Pich, Phys. Rev. D 61, 074007 (2000) [hepph/9905488].
S. R. Coleman and S. L. Glashow, Phys. Rev. Lett. 6, 423 (1961).
D. I. Diakonov, V. Y. Petrov and A. A. Vladimirov, Theor. Math. Phys. 170, 114 (2012) [Teor. Mat. Fiz. 170, 140 (2012)].
D. Diakonov, V. Petrov and A. A. Vladimirov, Phys. Rev. D 88, 074030 (2013) [arXiv:1308.0947 [hep-ph]].
M. Karliner and J. L. Rosner, Phys. Rev. D 95, 114012 (2017) [arXiv:1703.07774 [hep-ph]].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, HC. Heavy Baryons in a Pion Mean-Field Approach: A Brief Review. J. Korean Phys. Soc. 73, 165–178 (2018). https://doi.org/10.3938/jkps.73.165
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.73.165