Abstract.
We study the partial decay widths of the charmonium states ( \( J/\psi\), \( \psi (3686)\), \( \psi (3770)\), \( \chi_{c0}\), \( \chi_{c2}\) to \( D\bar{D}\) (\( D^+D^-\) or \( D^0\bar{D^0}\)) in isospin asymmetric nuclear matter, in the presence of strong magnetic fields. The in-medium partial decay widths of charmonium states to \( D\bar{D}\) are calculated within a light quark-antiquark pair creation model, namely the 3P0 model, using the in-medium masses of the charmonia as well as D and \( \bar{D}\) mesons in the magnetized nuclear matter, obtained within a chiral effective model. The presence of a magnetic field leads to Landau quantization of the energy levels of the proton in the nuclear medium. The effects of magnetic field and isospin asymmetry on the charmonium decay widths to \( D\bar{D}\) are found to be quite prominent. The effects of the anomalous magnetic moments have also been taken into consideration for obtaining the in-medium masses of these heavy flavour mesons, used to calculate the partial decay widths of the charmonium states. The medium modifications of the charmonium decay widths can have observable consequences on the production of the charmed mesons in high energy asymmetric heavy ion collision experiments.
Similar content being viewed by others
References
A. Hosaka, T. Hyodo, K. Sudoh, Y. Yamaguchi, S. Yasui, Prog. Part. Nucl. Phys. 96, 88 (2017)
V. Skokov, A.Y. Illarionov, V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009)
W.T. Deng, X.G. Huang, Phys. Rev. C 85, 044907 (2012)
D. Kharzeev, L. McLerran, H. Warringa, Nucl. Phys. A 803, 227 (2008)
K. Fukushima, D.E. Kharzeev, H.J. Warringa, Phys. Rev. D 78, 074033 (2008)
K. Tuchin, Phys. Rev. C 83, 017901 (2011)
K. Marasinghe, K. Tuchin, Phys. Rev. C 84, 044908 (2011)
K. Tuchin, Phys. Rev. C 82, 034904 (2010) 83
K. Tuchin, Phys. Rev. C 88, 024911 (2013)
Arpan Das, S.S. Dave, P.S. Saumia, A.M. Srivastava, Phys. Rev. C 96, 034902 (2017)
P. Gubler, K. Hattori, S.H. Lee, M. Oka, S. Ozaki, K. Suzuki, Phys. Rev. D 93, 054026 (2016)
C.S. Machado, F.S. Navarra, E.G. de Oliveira, J. Noronha, M. Strickland, Phys. Rev. D 88, 034009 (2013)
C.S. Machado, R.D. Matheus, S.I. Finazzo, J. Noronha, Phys. Rev. D 89, 074027 (2014)
Sushruth Reddy P, Amal Jahan CS, Nikhil Dhale, Amruta Mishra, J. Schaffner-Bielich, Phys. Rev. C 97, 065208 (2018)
Nikhil Dhale, Sushruth Reddy P, Amal Jahan CS, Amruta Mishra, Phys. Rev. C 98, 015202 (2018)
S. Cho, K. Hattori, S.H. Lee, K. Morita, S. Ozaki, Phys. Rev. Lett. 113, 172301 (2014)
S. Cho, K. Hattori, S.H. Lee, K. Morita, S. Ozaki, Phys. Rev. D 91, 045025 (2015)
Amal Jahan CS, Nikhil Dhale, Sushruth Reddy P, Shivam Kesarwani, Amruta Mishra, Phys. Rev. C 98, 065202 (2018)
Pallabi Parui, Ankit Kumar, Sourodeep De, Amruta Mishra, arXiv:1811.04622 [nucl-th]
K. Suzuki, S.H. Lee, Phys. Rev. C 96, 035203 (2017)
J. Alford, M. Strickland, Phys. Rev. D 88, 105017 (2013)
A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Phys. Rev. D 8, 2223 (1973)
A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Phys. Rev. D 9, 1415 (1974)
A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal, Phys. Rev. D 11, 1272 (1975)
T. Barnes, F.E. Close, P.R. Page, E.S. Swanson, Phys. Rev. D 55, 4157 (1997)
B. Friman, S.H. Lee, T. Song, Phys. Lett. B 548, 153 (2002)
Arvind Kumar, Amruta Mishra, Eur. Phys. J. A 47, 164 (2011)
E. Eichten, K. Gottfried, T. Kinoshita, K.D. Lane, T.M. Yan, Phys. Rev. D 17, 3090 (1978)
E. Eichten, K. Gottfried, T. Kinoshita, K.D. Lane, T.M. Yan, Phys. Rev. D 21, 203 (1980)
L. Kluberg, H. Satz, in Relativistic Heavy Ion Physics, edited by R. Stock, Landolt-Börnstein - Group I Elementary Particles, Nuclei and Atoms, Vol. 23 (Springer, Berlin, Heidelberg, 2010)
F. Karsch, M.T. Mehr, H. Satz, Z. Phys. C 37, 617 (1988)
A. Bazavov, P. Petreczky, A. Velytsky, Quark-Gluon Plasma 4, edited by R.C. Hwa, Xin-Nian Wang (World Scientific Publishers, 2010) p. 61
S. Digal, P. Petreczky, H. Satz, Phys. Lett. B 514, 57 (2001)
A. Mocsy, P. Petreczky, Phys. Rev. D 73, 074007 (2006)
S.F. Radford, W.W. Repko, Phys. Rev. D 75, 074031 (2007)
M.E. Peskin, Nucl. Phys. B 156, 365 (1979)
G. Bhanot, M.E. Peskin, Nucl. Phys. B 156, 391 (1979)
M.B. Voloshin, Nucl. Phys. B 154, 365 (1979)
Su Houng Lee, Che Ming Ko, Phys. Rev. C 67, 038202 (2003)
Sugsik Kim, Su Houng Lee, Nucl. Phys. A 679, 517 (2001)
F. Klingl, S. Kim, S.H. Lee, P. Morath, W. Weise, Phys. Rev. Lett. 82, 3396 (1999)
Arvind Kumar, Amruta Mishra, Phys. Rev. C 82, 045207 (2010)
K. Morita, S.H. Lee, Phys. Rev. C 77, 064904 (2008)
S.H. Lee, K. Morita, Phys. Rev. D 79, 011501(R) (2009)
K. Morita, S.H. Lee, Phys. Rev. C 85, 044917 (2012)
K. Morita, S.H. Lee, Phys. Rev. Lett. 100, 022301 (2008)
Arata Hayashigaki, Phys. Lett. B 487, 96 (2000)
T. Hilger, R. Thomas, B. Kämpfer, Phys. Rev. C 79, 025202 (2009)
T. Hilger, B. Kämpfer, S. Leupold, Phys. Rev. C 84, 045202 (2011)
S. Zschocke, T. Hilger, B. Kämpfer, Eur. Phys. J. A 47, 151 (2011)
Z.-G. Wang, Tao Huang, Phys. Rev. C 84, 048201 (2011)
Z.-G. Wang, Phys. Rev. C 92, 065205 (2015)
Rahul Chhabra, Arvind Kumar, Eur. Phys. J. A 53, 105 (2017)
Rahul Chhabra, Arvind Kumar, Eur. Phys. J. C 77, 726 (2017)
Arvind Kumar, Rahul Chhabra, Phys. Rev. C 92, 035208 (2015)
K. Tsushima, D.H. Lu, A.W. Thomas, K. Saito, R.H. Landau, Phys. Rev. C 59, 2824 (1999)
A. Sibirtsev, K. Tsushima, A.W. Thomas, Eur. Phys. J. A 6, 351 (1999)
K. Tsushima, F.C. Khanna, Phys. Lett. B 552, 138 (2003)
P.A.M. Guichon, Phys. Lett. B 200, 235 (1988)
K. Saito, A.W. Thomas, Phys. Lett. B 327, 9 (1994)
K. Saito, K. Tsushima, A.W. Thomas, Nucl. Phys. A 609, 339 (1996)
P.K. Panda, A. Mishra, J.M. Eisenberg, W. Greiner, Phys. Rev. C 56, 3134 (1997)
G. Krein, A.W. Thomas, K. Tsushima, Phys. Lett. B 697, 136 (2011)
G. Krein, A.W. Thomas, K. Tsushima, Prog. Part. Nucl. Phys. 100, 161 (2018)
S. Yasui, K. Sudoh, Phys. Rev. C 87, 015202 (2013)
S. Yasui, K. Sudoh, Phys. Rev. C 89, 015201 (2014)
S. Yasui, K. Sudoh, Phys. Rev. C 88, 015201 (2013)
L. Tolos, J. Schaffner-Bielich, A. Mishra, Phys. Rev. C 70, 025203 (2004)
L. Tolos, J. Schaffner-Bielich, H. Stöcker, Phys. Lett. B 635, 85 (2006)
T. Mizutani, A. Ramos, Phys. Rev. C 74, 065201 (2006)
L. Tolos, A. Ramos, T. Mizutani, Phys. Rev. C 77, 015207 (2008)
J. Hofmann, M.F.M. Lutz, Nucl. Phys. A 763, 90 (2005)
R. Molina, D. Gamermann, E. Oset, L. Tolos, Eur. Phys. J. A 42, 31 (2009)
L. Tolos, R. Molina, D. Gamermann, E. Oset, Nucl. Phys. A 827, 249c (2009)
J. Schechter, Phys. Rev. D 21, 3393 (1980)
P. Papazoglou, D. Zschiesche, S. Schramm, J. Schaffner-Bielich, H. Stöcker, W. Greiner, Phys. Rev. C 59, 411 (1999)
A. Mishra, K. Balazs, D. Zschiesche, S. Schramm, H. Stöcker, W. Greiner, Phys. Rev. C 69, 024903 (2004)
Amruta Mishra, Arindam Mazumdar, Phys. Rev. C 79, 024908 (2009)
Arvind Kumar, Amruta Mishra, Phys. Rev. C 81, 065204 (2010)
A. Mishra, E.L. Bratkovskaya, J. Schaffner-Bielich, S. Schramm, H. Stöcker, Phys. Rev. C 69, 015202 (2004)
Divakar Pathak, Amruta Mishra, Adv. High Energy Phys. 2015, 697514 (2015)
D. Zschiesche, A. Mishra, S. Schramm, H. Stöcker, W. Greiner, Phys. Rev. C 70, 045202 (2004)
A. Mishra, E.L. Bratkovskaya, J. Schaffner-Bielich, S. Schramm, H. Stöcker, Phys. Rev. C 70, 044904 (2004)
A. Mishra, S. Schramm, Phys. Rev. C 74, 064904 (2006)
A. Mishra, S. Schramm, W. Greiner, Phys. Rev. C 78, 024901 (2008)
Amruta Mishra, Arvind Kumar, Sambuddha Sanyal, S. Schramm, Eur. Phys. J. A 41, 205 (2009)
Amruta Mishra, Arvind Kumar, Sambuddha Sanyal, V. Dexheimer, S. Schramm, Eur. Phys. J. 45, 169 (2010)
T. Hatsuda, S.H. Lee, Phys. Rev. C 46, R34 (1992)
Amruta Mishra, Phys. Rev. C 91, 035201 (2015)
Ankit Kumar, Pallabi Parui, Sourodeep De, Amruta Mishra, arXiv:1811.012570 [nucl-th]
Anuj Kumar Singh, Neerajj Singh Rawat, Pratik Aman, Amruta Mishra, arXiv:1812.03011 [nucl-th]
Divakar Pathak, Amruta Mishra, Phys. Rev. C 91, 045206 (2015)
Divakar Pathak, Amruta Mishra, Int. J. Mod. Phys. E 23, 1450073 (2014)
Amruta Mishra, Divakar Pathak, Phys. Rev. C 90, 025201 (2014)
Amruta Mishra, S.P. Misra, W. Greiner, Int. J. Mod. Phys. E 24, 155053 (2015)
Amruta Mishra, S.P. Misra, Phys. Rev. C 95, 065206 (2017)
Amal Jahan CS, Shivam Kesarwani, Sushruth Reddy P, Nikhil Dhale, Amruta Mishra, arXiv:1807.07572 [nucl-th]
S. Weinberg, Phys. Rev. 166, 1568 (1968)
S. Coleman, J. Wess, B. Zumino, Phys. Rev. 177, 2239 (1969)
C.G. Callan, S. Coleman, J. Wess, B. Zumino, Phys. Rev. 177, 2247 (1969)
W.A. Bardeen, B.W. Lee, Phys. Rev. 177, 2389 (1969)
Erik K. Heide, Serge Rudaz, Paul J. Ellis, Nucl. Phys. A 571, 713 (2001)
A. Broderick, M. Prakash, J.M. Lattimer, Astrophys. J. 537, 351 (2002)
A.E. Broderick, M. Prakash, J.M. Lattimer, Phys. Lett. B 531, 167 (2002)
F.X. Wei, G.J. Mao, C.M. Ko, L.S. Kisslinger, H. Stöcker, W. Greiner, J. Phys. G, Nucl. Part. Phys. 32, 47 (2006)
Guang-Jun Mao, Akira Iwamoto, Zhu-Xia Li, Chin. J. Astrophys. 3, 359 (2003)
M. Pitschmann, A.N. Ivanov, arXiv:1205.5501 [math-ph]
V. Dexheimer, R. Negreiros, S. Schramm, Eur. Phys. J. A 48, 189 (2012)
V. Dexheimer, B. Franzon, S. Schramm, J. Phys. Conf. Ser. 861, 012012 (2017)
R.M. Aguirre, A.L. De Paoli, Eur. Phys. J. A 52, 343 (2016)
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. [Authors’ comment: All data generated during this investigation are contained in the present published article.]
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
Mishra, A., Jahan CS, A., Kesarwani, S. et al. Charmonium decay widths in magnetized matter. Eur. Phys. J. A 55, 99 (2019). https://doi.org/10.1140/epja/i2019-12778-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2019-12778-2