Two pion correlations as a possible experimental probe for disoriented chiral condensates

Hiro-Oka, Hideaki; Minakata, Hisakazu

doi:10.1016/s0370-2693(98)00201-9

Cited by 24 publications

(29 citation statements)

References 12 publications

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“…[13][14][15][16] The condensate moves periodically and the soft mode is enhanced by the motion of the condensate. The parametric resonance occurs if the temperature is approximately constant, because the condensate shows approximate periodic motion.…”

Section: -8mentioning

confidence: 99%

Effects of Tsallis distribution on parametric resonance in chiral phase transitions

Ishihara

2016

Int. J. Mod. Phys. E

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The parametric resonance was studied in chiral phase transitions when the momentum distribution is described by a Tsallis distribution. A Tsallis distribution has two parameters, the temperature T and the entropic index q. The amplification was estimated in two cases: 1) expansionless case and 2) one dimensional expansion case. In an expansionless case, the temperature T is constant, and the amplified modes as a function of T were calculated for various q. In one dimensional expansion case, the temperature T decreases as a function of the proper time, and the amplification as a function of the transverse momentum was calculated for various q. In the expansionless case, the following facts were found: 1) the larger the value q is, the softer the amplified modes are for the first and second resonance bands, 2) the amplified mode of the first resonance band decreases and vanishes, as the temperature T increases, and 3) the amplified mode of the second resonance band decreases and approaches to zero, as the temperature T increases. In one dimensional expansion case, the following facts were found: 1) the soft mode is amplified, 2) the amplification is extremely strong around the amplified mode of the first resonance band at T = 0, and 3) the magnitude of the amplification as a function of transverse momentum oscillates around the amplified mode of the first resonance band at T = 0.

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Section: -8mentioning

confidence: 99%

Effects of Tsallis distribution on parametric resonance in chiral phase transitions

Ishihara

2016

Int. J. Mod. Phys. E

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“…One can consider another situation, where a classical chiral condensate aligns in the σ direction and oscillates. In this case, it is shown that the parametric resonance mechanism works [8,9,10,11,12] and an isosinglet squeezed quantum state is derived dynamically [9]. The classical chiral condensate has isospin I = 0 because one has assumed that it aligns in the σ direction.…”

Section: Introductionmentioning

confidence: 99%

Quantum description for a chiral condensate disoriented in a certain direction in isospace

Maedan¹

2003

Phys. Rev. D

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We derive a quantum state of the disoriented chiral condensate dynamically, considering small quantum fluctuations around a classical chiral condensate disoriented in a certain direction n in isospace. The obtained nonisosinglet quantum state has the characteristic features; (i) it has the form of the squeezed state, (ii) the state contains not only the component of pion quanta in the direction n but also the component in the perpendicular direction to n and (iii) the low momentum pions in the state violate the isospin symmetry. With the quantum state, we calculate the probability of the neutral fraction depending on the time and the pion's momentum, and find that the probability has an unfamiliar form. For the low momentum pions, the parametric resonance mechanism works with the result that the probability of the neutral fraction becomes the well known form approximately and that the charge fluctuation is small.

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“…Pion measurements in individual collision events can distinguish DCC isospin fluctuations from a thermal background only if the disoriented region is sufficiently large [2]. DCC can then be the dominant source of pions at low transverse momenta, since p t ∼ 1/R for a coherent region of size R. Experiments focusing on low p t can study neutral and charged pion fluctuations [19], wavelet [23] and HBT signals [2,24] to extract detailed information. In contrast, for small domains (R < 3 fm [2]) DCC signals are hidden by fluctuations due to ordinary incoherent production mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Kaon and pion fluctuations from small disoriented chiral condensates

Gavin

Kapusta

2002

Phys. Rev. C

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Enhancement of Ω and Ω baryon production in Pb+Pb collisions at a c.m. energy of 17 A GeV can be explained by the formation of many small disoriented chiral condensate regions. This explanation implies that neutral and charged kaons as well as pions must exhibit novel isospin fluctuations. We compute the distribution of the fraction of neutral pions and kaons from such regions. We then propose robust statistical observables that can be used to extract the novel fluctuations from background contributions in π 0 π ± and K 0 S K ± measurements at RHIC and LHC.

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Two pion correlations as a possible experimental probe for disoriented chiral condensates

Cited by 24 publications

References 12 publications

Effects of Tsallis distribution on parametric resonance in chiral phase transitions

Effects of Tsallis distribution on parametric resonance in chiral phase transitions

Quantum description for a chiral condensate disoriented in a certain direction in isospace

Kaon and pion fluctuations from small disoriented chiral condensates

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