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Gravitational form factor of the kaon in holographic QCD
Phys. Rev. D 112, 114032 – Published 22 December, 2025
DOI: https://doi.org/10.1103/1wbr-j3r4
Abstract
The gravitational form factor (GFF) of the kaon is investigated in a bottom-up holographic QCD model, in which the strange quark mass breaks the SU(3) flavor symmetry. The probe energy () dependence of the kaon GFF is explicitly shown and compared to that of the pion. It is presented that our result shows the behavior in the high energy region, which is consistent with the perturbative QCD prediction. The gravitational radius of the kaon is also calculated, and it is found that the result is quite close to that of the pion but slightly smaller.
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References (92)
- D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973).
- H. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973).
- M. V. Polyakov, Phys. Lett. B 555, 57 (2003).
- A. V. Belitsky and X. Ji, Phys. Lett. B 538, 289 (2002).
- Z. Abidin and C. E. Carlson, Phys. Rev. D 77, 115021 (2008).
- W. Broniowski and E. Ruiz Arriola, Phys. Rev. D 78, 094011 (2008).
- Z. Abidin and C. E. Carlson, Phys. Rev. D 77, 095007 (2008).
- Z. Abidin and C. E. Carlson, Phys. Rev. D 80, 115010 (2009).
- Z. Abidin and C. E. Carlson, Phys. Rev. D 79, 115003 (2009).
- A. Ballon-Bayona, G. Krein, and C. Miller, Phys. Rev. D 96, 014017 (2017).
- S. Kumano, Q.-T. Song, and O. V. Teryaev, Phys. Rev. D 97, 014020 (2018).
- M. V. Polyakov and H.-D. Son, J. High Energy Phys. 09 (2018) 156.
- A. Freese, A. Freese, I. C. Cloët, and I. C. Cloët, Phys. Rev. C 100, 015201 (2019); 105, 059901(E) (2022).
- M. V. Polyakov and B.-D. Sun, Phys. Rev. D 100, 036003 (2019).
- A. F. Krutov and V. E. Troitsky, Phys. Rev. D 103, 014029 (2021).
- C. Shi, K. Bednar, I. C. Cloët, and A. Freese, Phys. Rev. D 101, 074014 (2020).
- J.-Y. Kim and B.-D. Sun, Eur. Phys. J. C 81, 85 (2021).
- A. Metz, B. Pasquini, and S. Rodini, Phys. Lett. B 820, 136501 (2021).
- X.-B. Tong, J.-P. Ma, and F. Yuan, Phys. Lett. B 823, 136751 (2021).
- K. A. Mamo and I. Zahed, Phys. Rev. D 106, 086004 (2022).
- A. F. Krutov and V. E. Troitsky, Phys. Rev. D 106, 054013 (2022).
- D. C. Hackett, D. A. Pefkou, and P. E. Shanahan, Phys. Rev. Lett. 132, 251904 (2024).
- Y. Guo, X. Ji, and F. Yuan, Phys. Rev. D 109, 014014 (2024).
- D. C. Hackett, P. R. Oare, D. A. Pefkou, and P. E. Shanahan, Phys. Rev. D 108, 114504 (2023).
- Y. Guo, X. Ji, Y. Liu, and J. Yang, Phys. Rev. D 108, 034003 (2023).
- Y. Hatta, Phys. Rev. D 109, L051502 (2024).
- Y.-Z. Xu, M. Ding, K. Raya, C. D. Roberts, J. Rodríguez-Quintero, and S. M. Schmidt, Eur. Phys. J. C 84, 191 (2024).
- D. Fujii, A. Iwanaka, and M. Tanaka, Phys. Rev. D 110, L091501 (2024).
- O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000).
- M. Kruczenski, D. Mateos, R. C. Myers, and D. J. Winters, J. High Energy Phys. 05 (2004) 041.
- T. Sakai and S. Sugimoto, Prog. Theor. Phys. 113, 843 (2005).
- J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. Lett. 95, 261602 (2005).
- G. F. de Teramond and S. J. Brodsky, Phys. Rev. Lett. 94, 201601 (2005).
- T. Sakai and S. Sugimoto, Prog. Theor. Phys. 114, 1083 (2005).
- S. J. Brodsky and G. F. de Teramond, Phys. Rev. Lett. 96, 201601 (2006).
- G. Veneziano, Nuovo Cimento A 57, 190 (1968).
- J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
- S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
- E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
- C. G. Callan, Jr., R. F. Dashen, and D. J. Gross, Phys. Rev. D 17, 2717 (1978).
- S. J. Brodsky and G. F. de Teramond, Phys. Rev. D 77, 056007 (2008).
- H. J. Kwee and R. F. Lebed, Phys. Rev. D 77, 115007 (2008).
- T. Branz, T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 82, 074022 (2010).
- T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 85, 076003 (2012).
- D. Li and M. Huang, J. High Energy Phys. 11 (2013) 088.
- S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Phys. Rep. 584, 1 (2015).
- T. Gutsche, V. E. Lyubovitskij, and I. Schmidt, Phys. Rev. D 97, 054011 (2018).
- V. E. Lyubovitskij and I. Schmidt, Phys. Rev. D 102, 094008 (2020).
- Y. Chen and M. Huang, Phys. Rev. D 105, 026021 (2022).
- L. Zhang, C. Chen, Y. Chen, and M. Huang, Phys. Rev. D 105, 026020 (2022).
- Y. Chen, D. Li, and M. Huang, Commun. Theor. Phys. 74, 097201 (2022).
- U. Gursoy, E. Kiritsis, L. Mazzanti, G. Michalogiorgakis, and F. Nitti, Lect. Notes Phys. 828, 79 (2011).
- O. Bergman, G. Lifschytz, and M. Lippert, J. High Energy Phys. 11 (2007) 056.
- H. J. Kwee and R. F. Lebed, J. High Energy Phys. 01 (2008) 027.
- H. R. Grigoryan and A. V. Radyushkin, Phys. Rev. D 76, 115007 (2007).
- H. R. Grigoryan and A. V. Radyushkin, Phys. Lett. B 650, 421 (2007).
- Z. Abidin and P. T. P. Hutauruk, Phys. Rev. D 100, 054026 (2019).
- H. A. Ahmed, Y. Chen, and M. Huang, Phys. Rev. D 108, 086034 (2023).
- J. Polchinski and M. J. Strassler, Phys. Rev. Lett. 88, 031601 (2002).
- J. Polchinski and M. J. Strassler, J. High Energy Phys. 05 (2003) 012.
- R. C. Brower, J. Polchinski, M. J. Strassler, and C.-I. Tan, J. High Energy Phys. 12 (2007) 005.
- Y. Hatta, E. Iancu, and A. H. Mueller, J. High Energy Phys. 01 (2008) 026.
- B. Pire, C. Roiesnel, L. Szymanowski, and S. Wallon, Phys. Lett. B 670, 84 (2008).
- S. K. Domokos, J. A. Harvey, and N. Mann, Phys. Rev. D 80, 126015 (2009).
- S. K. Domokos, J. A. Harvey, and N. Mann, Phys. Rev. D 82, 106007 (2010).
- C. Marquet, C. Roiesnel, and S. Wallon, J. High Energy Phys. 04 (2010) 051.
- A. Watanabe and K. Suzuki, Phys. Rev. D 86, 035011 (2012).
- A. Watanabe and K. Suzuki, Phys. Rev. D 89, 115015 (2014).
- A. Watanabe and H.-n. Li, Phys. Lett. B 751, 321 (2015).
- N. Anderson, S. Domokos, and N. Mann, Phys. Rev. D 96, 046002 (2017).
- A. Watanabe and M. Huang, Phys. Lett. B 788, 256 (2019).
- P. Burikham and D. Samart, Eur. Phys. J. C 79, 452 (2019).
- A. Watanabe, T. Sawada, and M. Huang, Phys. Lett. B 805, 135470 (2020).
- W. Xie, A. Watanabe, and M. Huang, J. High Energy Phys. 10 (2019) 053.
- Z. Liu, W. Xie, F. Sun, S. Li, and A. Watanabe, Phys. Rev. D 106, 054025 (2022).
- Z. Liu, W. Xie, and A. Watanabe, Phys. Rev. D 107, 014018 (2023).
- Z. Liu and A. Watanabe, Phys. Rev. D 108, 034010 (2023).
- A. Watanabe, S. A. Sirat, and Z. Liu, Eur. Phys. J. C 83, 898 (2023).
- Y.-P. Zhang, X. Chen, X.-H. Li, and A. Watanabe, Phys. Rev. D 108, 066001 (2023).
- A. Watanabe, Z. Ahmadi, Z. Liu, and W. Xie, Phys. Lett. B 848, 138343 (2024).
- Y.-P. Zhang, X. Chen, X.-H. Li, and A. Watanabe, Phys. Rev. D 109, 074010 (2024).
- A. C. Aguilar et al., Eur. Phys. J. A 55, 190 (2019).
- C. D. Roberts, D. G. Richards, T. Horn, and L. Chang, Prog. Part. Nucl. Phys. 120, 103883 (2021).
- A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
- E. C. Aschenauer, S. Fazio, J. H. Lee, H. Mantysaari, B. S. Page, B. Schenke, T. Ullrich, R. Venugopalan, and P. Zurita, Rep. Prog. Phys. 82, 024301 (2019).
- X. Chen, F.-K. Guo, and C. D. Roberts, and R. Wang, Few Body Syst. 61, 43 (2020).
- R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
- D. P. Anderle et al., Front. Phys. (Beijing) 16, 64701 (2021).
- G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
- K. Tanaka, Phys. Rev. D 98, 034009 (2018).
- X.-B. Tong, J.-P. Ma, and F. Yuan, J. High Energy Phys. 10 (2022) 046.
- R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).