Effect of K+ Potential and Nuclear Equation of State on the Invariant Cross-Section of K+ Production in Nucleus-Nucleus Collisions

Main Article Content

Panadda Sittiketkorn
Phacharatouch Chaimongkon
Kristiya Tomuang
Pornrad Srisawad
Nutkamol Suwannasri
Patcharapan Thongkum
Oraorn Kaewchot

Abstract

This work examines and concentrates on the effect of K+ potential and nuclear equation of state on the invariant cross-section of K+ production in nucleus-nucleus collisions. The invariant cross-section of K+ production as a function of kinetic energy in heavy-ion collisions at incident energy 0.8 and 1.0 A GeV (GeV/Nucleon) in 12C + 12C collisions with impact parameter between 3.70 and 5.73 fm by using the quantum molecular dynamics model (QMD) is studied. The calculations energized with and without the Brown-Rho parameters (K+N potential) as well as the soft and hard equation of state (soft and hard EOS). In addition, the invariant cross-section of K+ production as a function of kinetic energy is computed and compared with KaoS experiments. The results show that K+ production is measured by utilizing the QMD model with a soft EoS, which similar to a hard EoS. The theoretical calculations with soft and hard EoS while expanding the K+N potential tend to be consistent with the KaoS experiments, Consequently, this work refers that the invariant cross-section of K+ production in heavy-ion collision at intermediate is sensitive observable to probe the nuclear equation of state in dense nuclear matter.

Article Details

Section
บทความวิจัย

References

Aichelin, A., Rosenhauer, G., Peilert, H., Stöcker, H., & Greiner, W. (1987). Importance of Momentum-Dependent Interactions for the Extraction of the Nuclear Equation of State from High-Energy Heavy-Ion Collisions. Physical Review Letters, 58(19), 1926-1929. https://doi.org/10.1103/PhysRevLett.58.1926

Aichelin, J., & Stöcker, H. (1986). Quantum molecular dynamics — A novel approach to N-body correlations in heavy ion collisions. Physics Letters B ,176(1-2), 14-19. https://doi.org/10.1016/0370-2693(86)90916-0

Aichelin, J. (1991). “Quantum” molecular dynamics—a dynamical microscopic n-body approach to investigate fragment formation and the nuclear equation of state in heavy ion collisions. Physics Reports, 202(5-6), 233-360. https://doi.org/10.1016/0370-1573(91)90094-3

Bhalerao, R S., Borghini, N. & Ollitraultb, J Y. (2003). Analysis of anisotropic flow with Lee–Yang zeroes. Nuclear Physics A, 727(3-4), 373-426. https://doi.org/10.1016/j.nuclphysa.2003.08.007

Brown, G E., Buballa, M., & Rho, M. (1996). A mean-field theory of the chiral phase transition. Nuclear Physics A, 609(4), 519-536. https://doi.org/10.1016/S0375-9474(96)00295-3

Chaimongkon, P. et al. (2019). Azimuthal emission patterns of proton in 58Ni + 58Ni collision at intermediate energy by using a quantum molecular dynamics model. Journal of Physics: Conference Series. 1380, 012009. https://doi.org/10.1088/1742-6596/1380/1/012009

Chaimongkon, P. et al. (2019). Elliptic flow of the proton in 197Au + 197Au collisions reaction at intermediate energy by using a quantum molecular dynamics model. Journal of Physics: Conference Series, 1380, 012008. https://doi.org/10.1088/1742-6596/1380/1/012008

Chaimongkon, P. et al. (2019). The effect of K+potential on the nuclear equation of state for the K+ production in heavy ion collisions by using a quantum molecular dynamics model. Journal of Physics: Conference Series, 1380, 012011. https://doi.org/10.1088/ 1742-6596/1380/1/012011

Fuchs, C., Faessler, A., Zabrodin, E., & Zheng, Y M. (2001). Probing the Nuclear Equation of State by K+ Production in Heavy-Ion Collisions. Physical Review Letters, 86(10), 1974-1977. https://doi.org/10.1103/PhysRevLett.86.1974

Fuchs, C. et al. (1999). Chiral kaon dynamics in heavy ion collisions. Progress in Particle and Nuclear Physics, 42 : 197-206. https://doi.org/10.1016/S0146-6410(99)00074-5

Fuchs, C. (2006). Kaon production in heavy ion reactions at intermediate energies. Progress in Particle and Nuclear Physics, 56(1), 1-103. https://doi.org/10.1016/j.ppnp.2005.07.004

Hartnack, C. (2004). Dynamics of K+ Production in Heavy Ion Collisions close to Threshold. Thesis of Habilitation, Nantes University, nuclth/0507002.

Hartnack, C., Jaenicke, J., Sehn, L., Stöcker, H., and Aichelin, J. (1994). Kaon production at subthreshold energies. Nuclear Physics A, 580(4), 643-677. https://doi.org/10.1016/ 0375-9474(94)90786-2

Hartnack, C., Oeschler, H., & Aichelin, J. (2006). Hadronic Matter Is Soft. Physical Review Letters, 96(1), 012302. https://doi.org/10.1103/PhysRevLett.96.012302

Hartnack, C., Oeschler, H., Leifels, Y., Bratkovskaya, E L., & Aichelin, J. (2012). Strangeness production close to threshold in proton-nucleus and heavy-ion collisions. Physics Reports, 510(4-5), 119-200. https://doi.org/10.1016/j.physrep.2011.08.004

Hartnack, C., Puri, R., & Aichelin, J. et al. (1998). Modelling the many-body dynamics of heavy ion collisions: Present status and future perspective. The European Physical Journal A - Hadrons and Nuclei, 1, 151–169. https://doi.org/10.1007/s100500050045

Ko, C M. (1984). Effect of final state interactions on subthreshold K− production in heavy-ion collisions. Physics Letters B, 138(5-6), 361-364. https://doi.org/10.1016/0370-2693(84)91917-8

Ko, C M. (2001). Medium effects on the flow of strange particles in heavy-ion collisions. Journal of Physics G: Nuclear and Particle Physics, 27, 327. https://iopscience.iop.org/article/10.1088/ 0954-3899/27/3/310

Li, G Q., Ko, C M., & Li, Bao-An. (1995). Enhancement of Low-Mass Dileptons in Heavy Ion Collisions. Physical Review Letters, 75(22), 4007-4010. https://doi.org/10.1103/PhysRevLett.75.4007

Li, Q G., and Ko, C M. (1995). Kaon flow in heavy-ion collisions. Nuclear Physics A, 594(4), 460-482. https://doi.org/10.1016/0375-9474(95)00377-D

Maruyama T., Ohnishi A., & Horiuchi H. (1990). Quantum molecular dynamics study of fusion and its fade out in the 16O +16O system. Physical Review C, 42(1), 386-394. https://doi.org/10.1103/PhysRevC.42.386

Oeschler, H. (2006). Kaon production in heavy ion collisions — Which observable is best suited to observe in-medium potentials. Acta Physica Hungarica A, 27, 175–185. https://doi.org/10.1007/BF03177672

Oyamatsu, K., & Sumiyoshi, K. (1998). Neutrino-nucleus interactions and supernova modeling.

Nuclear Physics B - Proceedings Supplements, 159, 27-32. https://doi.org/10.1016/ j.nuclphysbps.2006.08.024

Srisawad, P. et al. (2018). Effect of the K+ in-medium potential on K+ production in heavy ion collisions. Journal of Physics: Conference Series, 1144, 012102. https://doi.org/10.1088/ 1742-6596/1144/1/012102

Zheng, Y M., Fuchs, C., Faessler, A., Shekhter, K., Yan, Y., and Kobdaj, C. (2004). Covariant kaon dynamics and kaon flow in heavy ion collisions. Physical Review C, 69, 034907. https://doi.org/10.1103/PhysRevC.69.034907