Critical phenomena in hadronic matter and experimental isotopic yields in high energy proton-nucleus collisions

Roger, Michel; Agarwal, S.; Bujak, A.; Chuang, Jeffrey H.; Finn, J.E.; Gutay, L.; Hirsch, A. S.; Porile, N.T.; Scharenberg, R. P.; Stringfellow, B.; Turkot, F.

doi:10.1016/0370-2693(82)90224-6

Cited by 222 publications

(111 citation statements)

References 2 publications

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“…[21][22][23] by indirect observations. The first direct measurements of the nuclear caloric curve were done by the ALADIN collaboration [24], later followed by other experiments [25,26].…”

Section: Nuclear Mattermentioning

confidence: 96%

Van der Waals equation of state with Fermi statistics for nuclear matter

2015

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The van der Waals (VDW) equation of state is a simple and popular model to describe the pressure function in equilibrium systems of particles with both repulsive and attractive interactions. This equation predicts an existence of a first-order liquid-gas phase transition and contains a critical point.Two steps to extend the VDW equation and make it appropriate for new physical applications are carried out in this paper: 1) the grand canonical ensemble formulation; 2) the inclusion of the quantum statistics. The VDW equation with Fermi statistics is then applied to a description of the system of interacting nucleons. The VDW parameters a and b are fixed to reproduce the properties of nuclear matter at saturation density n 0 = 0.16 fm −3 and zero temperature. The model predicts a location of the critical point for the symmetric nuclear matter at temperature T c ∼ = 19.7 MeV and nucleon number density n c ∼ = 0.07 fm −3 .

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“…[21][22][23] by indirect observations. The first direct measurements of the nuclear caloric curve were done by the ALADIN collaboration [24], later followed by other experiments [25,26].…”

Section: Nuclear Mattermentioning

confidence: 96%

Van der Waals equation of state with Fermi statistics for nuclear matter

2015

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“…According to the IBD plateaus for the I =0 and 1 chains, in the 64 Ni + 9 Be reaction, ∆µ/T ≈ 1 will result in ∆lnρ np = 1 for the measured reaction, and ∆µ/T ≈ 0.5 will result in ∆lnρ np = 0.65 for the AMD + GEMINI simulated reaction. The ∆µ/T for the p + Kr and p + Xe reactions have been estimated to be around 1.16 [31]. The IBD plateaus for the measured 140A MeV 48 Ca/ 48 Ca + 9 Be reactions [18] have been estimated to be around 1.85 ± 0.25 [3,7,20].…”

Section: Resultsmentioning

confidence: 99%

“…∆µ/T is related to the density difference between neutrons and protons of the reaction systems [5,6]. Although the IBD probe is deduced from the canonical ensemble theory, the modified Fisher model can yield the same form of the IBD probe [8,30,31].…”

Section: A Ibd Probementioning

confidence: 99%

Isobaric yield ratio difference between the140AMeVNi58+Be
Qiao
¹
,
Wei
²
,
Ma
³

et al. 2015
Phys. Rev. C
12
0
7
0
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Background: The isobaric yield ratio difference (IBD) method is found to be sensitive to the density difference of neutron-rich nucleus induced reaction around the Fermi energy.Purpose: An investigation is performed to study the IBD results in the transport model. Methods:The antisymmetric molecular dynamics (AMD) model plus the sequential decay model GEMINI are adopted to simulate the 140A MeV 58,64 Ni + 9 Be reactions. A relative small coalescence radius Rc = 2.5 fm is used for the phase space at t = 500 fm/c to form the hot fragment. Two limitations on the impact parameter (b1 = 0 − 2 fm and b2 = 0 − 9 fm) are used to study the effect of central collisions in IBD.Results: The isobaric yield ratios (IYRs) for the large-A fragments are found to be suppressed in the symmetric reaction. The IBD results for fragments with neutron-excess I = 0 and 1 are obtained. A small difference is found in the IBDs with the b1 and b2 limitations in the AMD simulated reactions. The IBD with b1 and b2 are quite similar in the AMD + GEMINI simulated reactions. Conclusions:The IBDs for the I = 0 and 1 chains are mainly determined by the central collisions, which reflects the nuclear density in the core region of the reaction system. The increasing part of the IBD distribution is found due to the difference between the densities in the peripheral collisions of the reactions. The sequential decay process influences the IBD results. The AMD + GEMINI simulation can better reproduce the experimental IBDs than the AMD simulation.

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“…In a recent work analyzing isobaric yields [21], the ratio of the symmetry-energy coefficient to temperature, a sym /T , as a function of fragment mass A was studied in a modified Fisher model (MFM) [22,23]. The Coulomb-energy coefficient to temperature (a c /T ), and the pairing-energy to temperature (a p /T ) were also extracted at the same time.…”

Section: Introductionmentioning

confidence: 99%

“…In this article, on the basis of the theory of a modified Fisher model [22,23], which was adopted in Ref. [21], the correlation between the logarithm of the isobaric yield ratio lnR and a sym /T , a c /T , a p /T and (µ n − µ p )/T for fragments produced in 140 A MeV 48 Ca + 9 Be and 64 Ni + 9 Be reactions (experimental data are taken from Refs.…”

Section: Introductionmentioning

confidence: 99%

Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies

Wang

et al. 2011

Phys. Rev. C

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The isobaric yield ratios of the fragments produced in the neutron-rich 48 Ca and 64 Ni projectile fragmentation are analyzed in the framework of a modified Fisher model. The correlations between the isobaric yield ratios (R) and the energy coefficients in the Weiszäcker-Beth semiclassical mass formula (the symmetry-energy term a sym , the Coulomb-energy term a c , and the pairing-energy term a p ) and the difference between the chemical potential of neutron and proton (µ n − µ p ) are investigated. Simple correlations between (µ n − µ p )/T, a c /T, a sym /T, and a p /T (where T is the temperature), and lnR are obtained. It is suggested that (µ n − µ p )/T, a c /T, a sym /T, and a p /T of neutron-rich nuclei can be extracted using isobaric yield ratios for heavy-ion collisions at intermediate energies.PACS numbers: 21.65. Cd, 21.65.Ef, 21.65.Mn, 25.70.Mn

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Critical phenomena in hadronic matter and experimental isotopic yields in high energy proton-nucleus collisions

Cited by 222 publications

References 2 publications

Van der Waals equation of state with Fermi statistics for nuclear matter

Van der Waals equation of state with Fermi statistics for nuclear matter

Isobaric yield ratio difference between the140AMeVNi58+Be
Qiao
¹
,
Wei
²
,
Ma
³

et al. 2015
Phys. Rev. C
12
0
7
0
View full text Add to dashboard Cite

Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies

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Critical phenomena in hadronic matter and experimental isotopic yields in high energy proton-nucleus collisions

Cited by 222 publications

References 2 publications

Van der Waals equation of state with Fermi statistics for nuclear matter

Van der Waals equation of state with Fermi statistics for nuclear matter

Isobaric yield ratio difference between the140AMeVNi58+BeQiao1, Wei2, Ma3 et al. 2015Phys. Rev. C12070View full textAdd to dashboardCite

Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies

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About

Isobaric yield ratio difference between the140AMeVNi58+Be
Qiao
¹
,
Wei
²
,
Ma
³

et al. 2015
Phys. Rev. C
12
0
7
0
View full text Add to dashboard Cite