The description of fragmentation as a critical phenomenon in high energy P-nucleus collisions

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

doi:10.1016/0375-9474(84)90553-0

Cited by 33 publications

(19 citation statements)

References 13 publications

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“…9 p +Ag [5][6][7][8][9] 9 12C +Ag [!9,20] J 9 p +Xe [10,11] V 12C +Au [19,21, , may indicate that dissipative processes are an additional source of fragments with masses near the projectile mass in these reactions at lower projectile velocities. The invariance of r at Ela b > 5 GeV is consistent with the idea of limiting fragmentation.…”

Section: The Power Law Systematicsmentioning

confidence: 98%

Systematics of the power law parameter and minimum angular momenta for fragment production

Trautmann

Milkau

Lynen

et al. 1993

Z. Physik A - Hadrons and Nuclei

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Abstract.The element yield distributions a(Z) of intermediate mass fragments from proton, helium, and heavy-ion induced reactions exhibit a universal behaviour as a function of the bombarding energy. The power law parameter ~, obtained from fits with a(Z)ocZ ~, falls monotonically with increasing projectile energy Ela b and reaches a saturation value ~-2.0 at Elab---2 GeV. It is suggested that the behaviour at low bombarding energies is caused by a dynamical hindrance of the fragment emission at low angular momentum. PACS: 25.40.Sc; 25.70.Gh; 25.70.Lm; 25.70.Mn; 25.70.Pq reactions on heavy targets. Our intention hereby is twofold. We first show that the r parameters describing inclusive cross sections exhibit a universal behaviour when plotted as a function of the total projectile energy. They decrease monotonically with increasing projectile energy until they assume a saturation value at several GeV and higher energies. We then search for possible explanations of this behaviour but limit ourselves to the lower bombarding energies. We recall experimental evidence for dynamic effect of angular momentum in fragment emission, and we show that the rise of z towards low bombarding energies may result from a dynamical hindrance of fragment emission at low angular momentum.

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Section: The Power Law Systematicsmentioning

confidence: 98%

Systematics of the power law parameter and minimum angular momenta for fragment production

Trautmann

Milkau

Lynen

et al. 1993

Z. Physik A - Hadrons and Nuclei

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“…The Modified Fisher Model (MFM) [41][42][43][44] is applied to characterize the emitting source of IMFs in the previous works [36-38, 45, 46]. In the framework of MFM, the yield of an isotope with I = N − Z and mass A (N and Z are the numbers of neutrons and protons respectively) produced in a multifragmentation reaction, can be given as…”

Section: Iia Mfm Formulationmentioning

confidence: 99%

Statistical analysis of experimental multifragmentation events in Zn64+Sn112 at 40 MeV/nucleon

et al. 2018

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A statistical multifragmentation model (SMM) is applied to the experimentally observed multifragmentation events in an intermediate heavy ion reaction. Using the temperature and symmetry energy extracted from the isobaric yield ratio (IYR) method based on the Modified Fisher Model (MFM), SMM is applied to the reaction 64 Zn + 112 Sn at 40 MeV/nucleon. The experimental isotope distribution and mass distribution of the primary reconstructed fragments are compared without afterburner and they are well reproduced. The extracted temperature T and symmetry energy coefficient asym from SMM simulated events, using the IYR method, are also consistent with those from the experiment. These results strongly suggest that in the multifragmentation process there is a freezeout volume, in which the thermal and chemical equilibrium is established before or at the time of the intermediate-mass fragments emission.PACS numbers: 25.70Pq, 24.10Cn

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“…Following the modified Fisher model theory [6,22,23], the yield of fragment with mass number A and I = N − Z, Y (A, I) is given by…”

Section: Isobaric Yield Ratios In the Modified Fisher Modelmentioning

confidence: 99%

“…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%

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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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The description of fragmentation as a critical phenomenon in high energy P-nucleus collisions

Cited by 33 publications

References 13 publications

Systematics of the power law parameter and minimum angular momenta for fragment production

Systematics of the power law parameter and minimum angular momenta for fragment production

Statistical analysis of experimental multifragmentation events in Zn64+Sn112 at 40 MeV/nucleon

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

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