- Open Access
Quark mass effects in octet baryon magnetic polarizabilities via lattice QCD
Phys. Rev. D 111, 114503 – Published 9 June, 2025
DOI: https://doi.org/10.1103/rbk1-82jh
Abstract
The quark mass dependence of octet baryon magnetic polarizabilities is examined at the level of individual quark-sector contributions in the uniform background-field approach of lattice QCD. The aim is to understand the direct impact of increasing the mass of a quark flavor on the magnetic polarizability and indirect or environmental effects associated with changing the mass of spectator quarks, insensitive to the background magnetic field. Noting the need to set the electric charge of some quark flavors to zero, a fractionally charged baryon formalism is introduced. We find that increasing the mass of the charged quark flavor directly causes its contribution to the magnetic polarizability to decrease. However, increasing the mass of the spectator quark flavor indirectly acts to increase the magnetic polarizability. To gain a deeper understanding of these effects, we evaluate the predictions of the constituent quark model in this context. While the model provides a compelling explanation for the environmental effect of varying the spectator quark mass, an explanation of the direct mass dependence is more complicated as competing factors combine in the final result. The lattice results indicate the key factor is a reduction in the constituent quark magnetic moment with increasing quark mass, as it governs the strength of the magnetic transition to the nearby decuplet baryon.
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References (29)
- D. B. Leinweber, R. M. Woloshyn, and T. Draper, Phys. Rev. D 43, 1659 (1991).
- D. B. Leinweber, T. Draper, and R. M. Woloshyn, Phys. Rev. D 46, 3067 (1992).
- D. B. Leinweber, T. Draper, and R. M. Woloshyn, Phys. Rev. D 48, 2230 (1993).
- D. B. Leinweber, Phys. Rev. D 45, 252 (1992).
- D. B. Leinweber, S. Boinepalli, I. C. Cloet, A. W. Thomas, A. G. Williams, R. D. Young, J. M. Zanotti, and J. B. Zhang, Phys. Rev. Lett. 94, 212001 (2005).
- D. Djukanovic, K. Ottnad, J. Wilhelm, and H. Wittig, Phys. Rev. Lett. 123, 212001 (2019).
- C. Alexandrou, S. Bacchio, M. Constantinou, J. Finkenrath, K. Hadjiyiannakou, K. Jansen, and G. Koutsou, Phys. Rev. D 101, 031501 (2020).
- F. E. Close, An Introduction to Quarks and Partons (Academic Press, New York, 1979).
- T. Kabelitz, R. Bignell, W. Kamleh, and D. Leinweber, Phys. Rev. D, 110, 074514 (2024).
- F. Gross et al., Eur. Phys. J. C 83, 1125 (2023).
- R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
- A. Walker-Loud, Proc. Sci. LATTICE2013 (2014) 013 [arXiv:1401.8259].
- F. M. Stokes, W. Kamleh, and D. B. Leinweber, Phys. Rev. D 102, 014507 (2020).
- G. Martinelli, G. Parisi, R. Petronzio, and F. Rapuano, Phys. Lett. 116B, 434 (1982).
- T. Primer, W. Kamleh, D. Leinweber, and M. Burkardt, Phys. Rev. D 89, 034508 (2014).
- S. R. Beane et al. (NPLQCD, QCDSF Collaborations), Phys. Rev. D 103, 054504 (2021).
- S. Aoki et al. (PACS-CS Collaboration), Phys. Rev. D 79, 034503 (2009).
- F. Di Renzo, in 40th International Symposium on Lattice Field Theory (2024), arXiv:2401.14752.
- B. J. Menadue, A study of the (1405) in lattice QCD, Ph.D. thesis, Adelaide U., 2018.
- R. Bignell, W. Kamleh, and D. Leinweber, Phys. Rev. D 100, 114518 (2019).
- A. Deshmukh and B. C. Tiburzi, Phys. Rev. D 97, 014006 (2018).
- R. Bignell, W. Kamleh, and D. Leinweber, Phys. Rev. D 101, 094502 (2020).
- F. Bruckmann, G. Endrodi, M. Giordano, S. D. Katz, T. G. Kovacs, F. Pittler, and J. Wellnhofer, Phys. Rev. D 96, 074506 (2017).
- C. Morningstar and M. J. Peardon, Phys. Rev. D 69, 054501 (2004).
- S. Gusken, Nucl. Phys. B, Proc. Suppl. 17, 361 (1990).
- D. S. Roberts, P. O. Bowman, W. Kamleh, and D. B. Leinweber, Phys. Rev. D 83, 094504 (2011).
- S. Boinepalli, D. B. Leinweber, A. G. Williams, J. M. Zanotti, and J. B. Zhang, Phys. Rev. D 74, 093005 (2006).
- https://www2.jldg.org/
- W. Kamleh, Proc. Sci. LATTICE2022 (2023) 339 [arXiv:2302.00850].