Abstract.
The one loop polarization insertions for the kaon and the \(\phi\) mesons are evaluated in a hadronic medium as functions of the field intensity and the baryonic density. For this purpose an effective chiral model of the hadronic interaction is used, supplemented with a phenomenological K-\(\phi\) interaction. The propagators of the charged particles include the full effect of the coupling to the magnetic field, and the anomalous magnetic moments are taken into account for the baryon fields. The effective masses as well as the decay widths are introduced and examined as functions of matter density and the magnetic intensity.
Similar content being viewed by others
References
D. Lai, Rev. Mod. Phys. 73, 629 (2001)
V.A. Miransky, I.A. Shovkovy, Phys. Rep. 576, 1 (2015)
R.S. Duncan, C. Thompson, Astrophys. J. 392, L9 (1992)
C. Thompson, R.S. Duncan, Mon. Not. R. Astron. Soc. 275, 255 (1995)
C. Thompson, R.S. Duncan, Astrophys. J. 473, 322 (1996)
M. Ruderman, Annu. Rev. Astron. Astrophys. 10, 427 (1972)
C. Thompson, R.C. Duncan, Astrophys. J. 408, 194 (1993)
S. Chakrabarty, D. Bandyopadhyay, S. Pal, Phys. Rev. Lett. 78, 2898 (1997)
A. Broderick, M. Prakash, J.M. Lattimer, Astrophys. J. 537, 351 (2000)
I.S. Suh, G.J. Mathews, Astrophys. J. 546, 1126 (2001)
A. Mukherjee, S. Ghosh, M. Mandal, S. Sarkar, P. Roy, Phys. Rev. D 98, 056024 (2018)
Y. Hidaka, A. Yamamoto, Phys. Rev. D 87, 094502 (2013)
E.V. Luschevskaya, O.V. Larina, Nucl. Phys. B 884, 1 (2014)
G.S. Bali, B.B. Brandt, G. Endrodi, B. Glassle, Phys. Rev. D 97, 034505 (2018)
J.O. Andersen, Phys. Rev. D 86, 025020 (2012)
G. Colucci, E.S. Fraga, A. Sedrakian, Phys. Lett. B 728, 19 (2014)
T. Maruyama, M. Cheoun, T. Kajino, Y. Kwon, G.J. Mathews, Rev. D 91, 123007 (2015)
S.P. Adhya, M. Mandal, S. Biswas, P.K. Roy, Phys. Rev. D 93, 074033 (2016)
R.M. Aguirre, Phys. Rev. D 95, 074029 (2017)
A. Mukherjee, S. Ghosh, M. Mandal, P. Roy, S. Sarkar, Phys. Rev. D 96, 016024 (2017)
M. Kawaguchi, S. Matsuzaki, Phys. Rev. D 93, 125027 (2016)
S. Ghosh, A. Mukherjee, M. Mandal, S. Sarkar, P. Roy, Phys. Rev. D 94, 094043 (2016)
A. Bandyopadhyay, S. Mallik, Eur. Phys. J. C 77, 771 (2017)
G.E. Brown, C.-H. Lee, M. Rho, Phys. Rep. 462, 1 (2008) and references therein
A. Gal, E.V. Hungerford, D.J. Millener, Rev. Mod. Phys. 88, 035004 (2016)
K. Kim, H.K. Lee, M. Rho, Phys. Rev. C 84, 035810 (2011)
J.A. Pons, J.A. Miralles, M. Prakash, J.M. Lattimer, Astrophys. J. 553, 382 (2001)
A. Shor, Phys. Rev. Lett. 54, 1122 (1985)
P. Gubler, K. Ohtani, Phys. Rev. D 90, 094002 (2014)
P. Gubler, W. Weise, Nucl. Phys. A 954, 125 (2016)
D. Cabrera, A.N. Hiller Blin, M.J. Vicente Vacas, Phys. Rev. C 95, 015201 (2017)
J.J. Cobos-Martinez, K. Tsushima, G. Krein, A.W. Thomas, Phys. Lett. B 771, 113 (2017)
J.J. Cobos-Martinez, K. Tsushima, G. Krein, A.W. Thomas, Phys. Rev. C 96, 035201 (2017)
P. Dey, A. Bhattacharyya, D. Bandyopadhyay, J. Phys. G 28, 2179 (2002)
P. Yue, H. Shen, Phys. Rev. C 77, 045804 (2008)
G. Mao, P. Papazoglou, S. Hofmann, S. Schramm, H. Stocker, W. Greiner, Phys. Rev. C 59, 3381 (1999)
A. Mishra, E.L. Bratkovskaya, J. Schaffner-Bielich, S. Schramm, H. Stocker, Phys. Rev. C 70, 044904 (2004)
A. Mishra, S. Schramm, Phys. Rev. C 74, 064904 (2006)
A. Mishra, A. Kumar, S. Sanyal, S. Schramm, Eur. Phys. J. A 41, 205 (2009)
A. Mishra, S. Schramm, W. Greiner, Phys. Rev. C 78, 024901 (2008)
A. Kumar, A. Mishra, Phys. Rev. C 81, 065204 (2010)
A. Mishra, A. Mazumdar, Phys. Rev. C 79, 024908 (2009)
D. Pathak, A. Mishra, Phys. Rev. C 91, 045206 (2015)
A. Mishra, A. Kumar, S. Sanyal, V. Dexheimer, S. Schramm, Eur. Phys. J. A 45, 169 (2010)
N.K. Glendenning, J. Schaffner-Bielich, Phys. Rev. C 60, 025803 (1999)
F. Klingl, N. Kaiser, W. Weise, Z. Phys. 356, 193 (1996)
R. Aguirre, A.L. De Paoli, Eur. Phys. J. A 52, 343 (2016)
J. Schwinger, Phys. Rev. 82, 664 (1951)
A. Chodos, K. Everding, D.A. Owen, Phys. Rev. D 42, 2881 (1990)
E. Elizalde, S.D. Odintsov, A. Romeo, A.A. Bytsenko, S. Zerbini, Zeta Regularization Techniques with Applications (World Scientific Publishing, 1994)
C.M. Ko, P. Levai, X.J. Qiu, C.T. Li, Phys. Rev. C 45, 1400 (1992)
P. Demorest, T. Pennucci, S. Ransom, M. Roberts, J. Hessels, Nature 467, 1081 (2010)
L. Tolos, M. Centelles, A. Ramos, Astrophys. J. 834, 3 (2017)
D. Chatterjee, I. Vidaa, Eur. Phys. J. A 52, 29 (2016)
M. Oertel, M. Hempel, T. Klhn, S. Typel, Rev. Mod. Phys. 89, 015007 (2017)
Y. Lim, C.-H. Lee, Y. Oh, Phys. Rev. D 97, 023010 (2018)
M. Marques, M. Oertel, M. Hempel, J. Novak, Phys. Rev. C 96, 045806 (2017)
M. Fortin, S.S. Avancini, C. Providencia, I. Vidana, Phys. Rev. C 95, 065803 (2017)
V. Skokov, A.Yu. Illarionov, V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009)
Y.-J. Mo, S.-Q. Feng, Y.-F. Shi, Phys. Rev. C 88, 024901 (2013)
I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series and Products, 7th edition (Academic Press, 2007)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by L. Tolos
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Author’s comment: The datasets analysed during the current study are available from the corresponding author on reasonable request.]
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Aguirre, R.M. In medium properties of K0 and \(\phi\) mesons under an external magnetic field. Eur. Phys. J. A 55, 28 (2019). https://doi.org/10.1140/epja/i2019-12704-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2019-12704-8