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High Energy Physics - Phenomenology

arXiv:0805.0060 (hep-ph)
[Submitted on 1 May 2008 (v1), last revised 18 Jul 2008 (this version, v2)]

Title:Pion weak decay constant at finite density from the instanton vacuum

Authors:Seung-il Nam, Hyun-Chul Kim
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Abstract: We investigate the pion weak decay constant (F_pi) and pion mass (m_pi) at finite density within the framework of the nonlocal chiral quark model from the instanton vacuum with the finite quark-number chemical potential (mu) taken into account. We mainly focus on the Nambu-Goldstone phase below the critical value of the chemical potential mu_c ~ 320 MeV, which is determined consistently within the present framework. The breakdown of Lorentz invariance at finite density being considered, the time (F^t_pi) and space (F^s_pi) components are computed separately, and the corresponding results turn out to be: F^t_pi = 82.96 MeV and F^s_pi = 80.29 MeV at mu_c, respectively. Using the in-medium Gell-Mann-Oakes-Renner (GOR) relation, we show that the pion mass increases by about 15% at mu_c.
Comments: 12 pages, 4 figures, accepted for publicaion in Phys.Lett.B
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: YITP-08-26, INHA-NTG-11/2008
Cite as: arXiv:0805.0060 [hep-ph]
  (or arXiv:0805.0060v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.0805.0060
Journal reference: Phys.Lett.B666:324-331,2008
Related DOI: https://doi.org/10.1016/j.physletb.2008.07.058

Submission history

From: Seung-il Nam [view email]
[v1] Thu, 1 May 2008 06:21:37 UTC (100 KB)
[v2] Fri, 18 Jul 2008 06:52:25 UTC (101 KB)
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