Abstract
We study the medium modifications of the spectral functions as well as production cross-sections of the strange vector mesons (\(\phi \), \(K^*\) and \(\bar{K^*}\)) in isospin asymmetric strange hadronic matter. These are obtained from the in-medium masses of the open strange mesons and the decay widths \(\phi \rightarrow K\bar{K}\), \(K^* \rightarrow K\pi \) and \(\bar{K^*} \rightarrow {\bar{K}}\pi \) in the hadronic medium. The decay widths are computed using a field theoretic model of composite hadrons with quark (and antiquark) constituents, from the matrix element of the light quark-antiquark pair creation term of the free Dirac Hamiltonian between the initial and final states. The matrix element is multiplied with a coupling strength parameter for the light quark-antiquark pair creation, which is fitted to the observed vacuum decay width of the decay process. There are observed to be substantial modifications of the spectral functions as well as production cross-sections of these vector mesons due to isospin asymmetry as well as strangeness of the hadronic medum at high densities. These studies should have observable consequences, e.g. in the yield of the hidden and open strange mesons arising from the isospin asymmetric high energy heavy ion collisions at the Compressed baryonic matter (CBM) experiments at the future facility at GSI.
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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.]
References
C. Hartnack, H. Oeschler, Y. Leifels, E.L. Bratkovskaya, J. Aichelin, Phys. Rep. 510, 119 (2012)
E. Friedman, A. Gal, Phys. Rep. 452, 89 (2007)
L. Tolos, L. Fabbietti, Prog. Nucl. Part. Phys 112, 103770 (2020)
D.B. Kaplan, A.E. Nelson, Phys. Lett. B 175, 57 (1986)
A.E. Nelson, D.B. Kaplan, Phys. Lett. B 192, 193 (1987)
N.K. Glendenning, J. Schaffner-Bielich, Phys. Rev. C 60, 025803 (1999)
S. Banik, R. Nandi, D. Bandyopadhyay, Phys. Rev. C 86, 045803 (2012)
B.D. Serot, Rep. Prog. Phys. 55, 1855 (1992)
K. Tsushima, K. Saito, A.W. Thomas, S.V. Wright, Phys. Lett. B 429, 239 (1998)
K. Tsushima, K. Saito, A.W. Thomas, S.V. Wright, Phys. Lett. E 436, 453 (1998). (ibid)
K. Tsushima, A. Sibirtsev, A.W. Thomas, Phys. Rev. C 62, 064904 (2000)
K. Tsushima, A. Sibirtsev, A.W. Thomas, J. Phys. G 27, 34 (2001). (ibid)
G. Krein, A.W. Thomas, K. Tsushima, Prog. Part. Nucl. Phys. 100, 161 (2018)
E. Oset, A. Ramos, Nucl. Phys. A 635, 99 (1998)
A. Ramos, E. Oset, Nucl. Phys. A 671, 481 (2000)
A. Ilner, D. Cabrera, C. Markert, E. Bratkovskaya, Phys. Rev. C 95, 014903 (2017)
A. Ilner, J. Blair, D. Cabrera, C. Markert, E. Bratkovskaya, Phys. Rev. C 99, 024914 (2019)
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)
A. Mishra, A. Kumar, S. Sanyal, S. Schramm, Eur. Phys. J A 41, 205 (2009)
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)
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)
J. Schechter, Phys. Rev. D 21, 3393 (1980)
J. Ellis, Nucl. Phys. B 22, 478 (1970)
B.A. Campbell, J. Ellis, K.A. Olive, Nucl. Phys. B 345, 57 (1990)
P. A. Zyla et al (Particle Data Group), Prog. Theor. Exp. Phys. 2020, 083C01 (2020)
G.E. Brown, C.-H. Lee, M. Rho, V. Thorsson, Nucl. Phys. A 567, 937 (1994)
J. Schaffner-Bielich, I.N. Mishustin, J. Bondorf, Nucl. Phys. A 625, 325 (1997)
T. Barnes, E.S. Swanson, Phys. Rev. C 49, 1166 (1994)
S.P. Misra, Phys. Rev. D 18, 1661 (1978)
S.P. Misra, Phys. Rev. D 18, 1673 (1978)
A. Mishra, S.P. Misra, W. Greiner, Int. J. Mod. Phys. E 24, 1550053 (2015)
A. Mishra, S.P. Misra, Phys. Rev. C 95, 065206 (2017)
A. Mishra, S.P. Misra, Phys. Rev. C 102, 045204 (2020)
Mishra A, Misra SP. arXiv:2005.00354 [hep-ph]
Mishra A, Misra SP. arXiv:2006.03478 [nucl-th]. Int. J. Mod. Phys. E (To be published)
E.S. Ackleh, T. Barnes, E.S. Swanson, Phys. Rev. D 54, 6811 (1996)
T. Barnes, F.E. Close, P.R. Page, E.S. Swanson, Phys. Rev. D 55, 4157 (1997)
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). ibid
A. Le Yaouanc, L. Oliver, O. Pene, J.-C. Raynal, Phys. Rev. D 11, 1272 (1975). ibid
A. Le Yaouanc, L. Oliver, O. Pene, J.-C. Raynal, Phys. Lett. B 71, 397 (1977)
B. Friman, S.H. Lee, T. Song, Phys. Lett. B 548, 153 (2002)
A. Kumar, A. Mishra, Eur. Phys. J. A 47, 164 (2011)
A. Ilner, D. Cabrera, P. Srisawad, E. Bratkovskaya, Nucl. Phys. A 927, 249 (2014)
K. Haglin, Nucl. Phys. A 584, 719 (1995)
G.Q. Li, C.M. Ko, G.E. Brown, Nucl. Phys. A 611, 539 (1996)
L. Tolos, D. Cabrera, A. Ramos, Phys. Rev. C 78, 045205 (2008)
L. Tolos, R. Molina, E. Oset, A. Ramos, Phys. Rev. C 82, 045210 (2010)
L. Tolos, D. Cabrera, R. Molina, E. Oset, A. Ramos, Prog. Theor. Phys. Suppl. 186, 384 (2010) (contribution to New Frontiers in QCD 2010: Exotic Hadron Systems and Dense Matter)
D. Cabrera, L. M. Abreu, E. Bratkovskaya, A. Ilner, F. J. Llanes-Estrada, A. Ramos, L. Tolos, J. M. Torres-Rincon, J. Phys. Conf. Ser. 503, 012017 (2014) (Contribution to FAIRNESS 2013)
K.P. Khemchandani, A. Martinez Torres, F.S. Navarra, M. Nielsen, L. Tolos, Phys. Rev. D 91, 094008 (2015)
E. Oset, A. Ramos, Nucl. Phys. A 679, 616 (2001)
E. Oset, A. Ramos, Eur. Phys. J. A 44, 445 (2010)
R. Kumar, A. Kumar, Phys. Rev. C 102, 045206 (2020)
C.M. Ko, P. Levai, X.J. Qiu, C.T. Li, Phys. Rev. C 45, 1400 (1992)
T. Hatsuda, S.H. Lee, Phys. Rev. C 46, R34 (1992)
T. Hatsuda, H. Shiomi, H. Kuwabara, Progr. Theor. Phys. 95, 1009 (1996)
J.J. Cobos-Martinez, K. Tsushima, G. Krein, A.W. Thomas, Phys. Lett. B 771, 113 (2017)
F. Klingl, T. Waas, W. Weise, Phys. Lett. B 431, 25 (1998)
D. Cabrera, M.J.V. Vacas, Phys. Rev. C 67, 045203 (2003)
T. Ishikawa et al., Phys. Lett. B 608, 215 (2005)
M.H. Wood et al., Phys. Rev. Lett. 105, 112303 (2010)
M. Hartmann et al., Phys. Rev. C 85, 035206 (2012)
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One of the authors (AM) acknowledeges financial support from Department of Science and Technology (DST), Government of India (project no. CRG/2018/002226).
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Mishra, A., Misra, S.P. Spectral functions of strange vector mesons in asymmetric hyperonic matter. Eur. Phys. J. A 57, 98 (2021). https://doi.org/10.1140/epja/s10050-021-00407-w
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DOI: https://doi.org/10.1140/epja/s10050-021-00407-w