Abstract
In this paper, we use AdS/CFT correspondence to consider holographic model of QCD and study repulsive core of nucleons in the presence of chemical potential. Such low range interaction between nucleons may be calculated using the string theory in the context of AdS/CFT correspondence. We find that variation of nucleon potential with chemical potential at the large \(N_\mathrm{c}\) limit is very slow; however, we find that nuclear potential affected by non-trivial chemical potential, which yields to more agreement with experiment and lattice results at a very short distances.
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Aoki S, Hatsuda T, Ishii N (2008a) Nuclear force from Monte Carlo simulations of lattice quantum chromodynamics. Comput Sci Dis 1:015009
Aoki S, Balog J, Hatsuda T, Ishii N, Murano K, Nemura H, Weisz P (2008b) Energy dependence of nucleon–nucleon potentials. PoS LATTICE2008, 152
Beane SR, Bedaque PF, Orginos K, Savage MJ (2006) Nucleon nucleon scattering from fully-dynamical lattice QCD. Phys Rev Lett 97:012001
Beane SR, Bedaque PF, Luu TC, Orginos K, Pallante E, Parreno A, Savage MJ (2007) (NPLQCD Collaboration) Hyperon nucleon scattering from fullydynamical lattice QCD. Nucl Phys A 794:62
Beane SR, Orginos K, Savage MJ (2008) Hadronic interactions from lattice QCD. Int J Mod Phys E 17:1157
Bitaghsir Fadafan K, Pourhassan B, Sadeghi J (2011) Calculating the jet-quenching parameter in STU background. Eur Phys J C 71:178
Csaki C, Reece M, Terning J (2009) The AdS/QCD correspondence: still undelivered. JHEP 0905:067
Gubser SS (2006) Drag force in AdS/CFT. Phys Rev D 74:126005
Gubser SS (2009) Using string theory to study the quark-gluon plasma: progress and perils. Nucl Phys A 830:657
Hashimoto K (2010) Nuclear force from string theory. Nucl Phys A 835:192
Hashimoto K, Sakai T, Sugimoto S (2008) Holographic Baryons: static properties and form factors from gauge/string duality. Prog Theor Phys 120:1093
Hashimoto K, Sakai T, Sugimoto S (2009) Nuclear force from string theory. Prog Theor Phys 122:427
Hata H, Sakai T, Sugimoto S, Yamato S (2007) Baryons from instantons in holographic QCD. Prog Theor Phys 117:1157
Herzog CP (2006) Energy loss of heavy quarks from asymptotically AdS geometries. J High Energy Phys 0609:032
Horigome N, Tanii Y (2007) Holographic chiral phase transition with chemical potential. JHEP 0701:072
Ishii N, Aoki S, Hatsuda T (2007) The nuclear force from lattice QCD. Phys Rev Lett 99:022001
Jastrow R (1951) On the Nucleon–Nucleon interaction. Phys Rev 81:165
Karsch F (2017) Conserved charge fluctuations at vanishing and non-vanishing chemical potential. Nuclear Phys A 967:461
Kim K-Y, Zahed I (2009) Nucleon–nucleon potential from holography. JHEP 0903 131
Kim K-Y, Sin S-J, Zahed I (2013) Dense hadronic matter in holographic QCD. J Korean Phys Soc 63:1515
Lin FL, Matsuo T (2006) Jet quenching parameter in medium with chemical potential from AdS/CFT. Phys Lett B 641:45
Maldacena JM (1998) The large N limit of superconformal field theories and supergravity. Adv Theor Math Phys 2:231
Maldacena JM (1999) The large N limit of superconformal field theories and supergravity. Int J Theor Phys 38:1113
Myhrer F, Wroldsen J (1988) The nucleon–nucleon force and the quark degrees of freedom. Rev Mod Phys 60:629
Nemura H, Ishii N, Aoki S, Hatsuda T (2009) Hyperon-nucleon force from lattice QCD. Phys Lett B 673:136
Pahlavani MR, Sadeghi J, Morad R (2013) Nucleon-Meson couplings in one boson exchange potential using non-critical string theory. Phys Rev C 87:065202
Parnachev A, Sahakyan DA (2007) Photoemission with chemical potential from QCD gravity dual. Nucl Phys B 768:177
Pourhassan B, Sadeghi J (2013) STU/QCD correspondence. Can J Phys 91:995
Sadeghi J, Pourhassan B (2008) Drag force of moving quark at the N=2 supergravity. J High Energy Phys 0812:026
Sadeghi J, Setare MR, Pourhassan B, Hashmatian S (2009a) Drag force of moving quark in STU background. Eur Phys J C 61:527
Sadeghi J, Setare MR, Pourhassan B (2009b) Drag force with different charges in STU background and AdS/CFT. J Phys G Nucl Phys 36:115005
Sadeghi J, Pourhassan B, Heshmatian S (2013) Application of AdS/CFT in quark-gluon plasma. Adv High Energy Phys 2013:759804
Sakai T, Sugimoto S (2005) Low energy hadron physics in holographic QCD. Prog Theor Phys 113:843
Sakai T, Sugimoto S (2005) More on a holographic dual of QCD. Prog Theor Phys 114:1083
Siwach S, Sachan S (2014) Some applications of AdS/QCD. Nuclear Phys B Proc Suppl 251–252:150–153
Witten E (1998) Anti-de Sitter space and holography. Adv Theor Math Phys 2:253
Wu C, Xiao Z, Zhou D (2013) Sakai-Sugimoto model in D0–D4 background. Phys Rev D 88:026016
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Bay, S., Tajik, M. & Pourhassan, B. Strong Interaction in the Presence of Chemical Potential and AdS/CFT Correspondence. Iran J Sci Technol Trans Sci 44, 319–326 (2020). https://doi.org/10.1007/s40995-020-00817-3
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DOI: https://doi.org/10.1007/s40995-020-00817-3