Equation of State for Cold Nuclear Matter from Refractive<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>16</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>+<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">O</mml:mi><

Khoa, Dao T.; Oertzen, W. von; Bohlen, H. G.; Bartnitzky, G.; Clement, H.; Sugiyama, Y.; Gebauer, B.; Ostrowski, A. N.; Wilpert, Th.; Wilpert, M.; Langner, Ch.

doi:10.1103/physrevlett.74.34

Cited by 92 publications

(46 citation statements)

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“…It was emphasized that by measuring the angular distribution of systems such as 12 C 1 12 C, 16 O 1 16 O, etc., in the energy region where the far-side amplitude dominates, one is able to extract unambiguously the depth of the real part of the ion-ion potential. This has been shown in detail in [6][7][8][9]. Further, by tracing the nucleus-nucleus interaction to its underlying, density-dependent, effective nucleon-nucleon interaction, one is eventually able to extract the compressibility of nuclear matter,…”

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confidence: 91%

“…We shall give sufficient evidence in the affirmative to the above question. In particular, we show below that the same data that were analyzed by Khoa et al [7][8][9] for the purpose of the extraction of K can be used to extract the nonlocality parameter b which measures the nonlocal spread in configuration space where the ion-ion force is operative. The extracted value of b is very close to the one predicted 22 years ago by Jackson and Johnson [4], who showed within the single folding model that b ഠ b 0 m͞m, where b 0 is the nucleon-nucleus nonlocality parameter, m is the nucleon mass, and m is the reduced mass of the nucleusnucleus system.…”

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confidence: 93%

“…The extracted value of K from the 16 O 1 16 O system [9] at several center of mass energies was found to be roughly 220 MeV, indicative of a soft equation of state. What other physics may one extract from these angular distributions?…”

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confidence: 97%

“…We have used expression (6) and the data analysis from Refs. [1,[7][8][9]12,14,[16][17][18] to extract V NL ͑0͒ as a function of m. For the systems which the data energy range was not sufficiently extensive, we have used the b values from Ref. [4].…”

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confidence: 99%

“…The phenomenological optical potential in conjunction with coupled channels was employed in the analysis [25][26][27]. The simple cluster model for the ground state of 11 Li implies a structure where the core nucleus 9 Li is weakly bound to a dineutron. The folding procedure of Ref.…”

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Pauli Nonlocality in Heavy-Ion Rainbow Scattering: A Further Test of the Folding Model

et al. 1997

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Nonlocal interactions are an intrinsically quantum phenomenon. In this work we point out that, in the context of heavy ions, such interactions can be studied through the refractive elastic scattering of these systems at intermediate energies. We show that most of the observed energy dependence of the local equivalent bare potential arises from the exchange nonlocality. The nonlocality parameter extracted from the data was found to be very close to the one obtained from folding models. The effective mass of the colliding, heavy-ion, system was found to be close to the nucleon effective mass in nuclear matter. [S0031-9007(97)02958-X] PACS numbers: 25.70. Bc, 21.30.Fe, 21.65. + f, Of fundamental importance in nuclear physics are the effects arising from the Fermi nature of the nucleons. When calculating interaction potentials between nuclei, these effects translate into a nonlocality. This Pauli nonlocality has been discussed in the context of the nucleon-nucleus scattering [1,2]. A fully microscopic calculation of the nucleus-nucleus interaction is quite complicated and one relies here on procedures such as the resonating-group method [3]. Other methods rely on relating the nucleusnucleus nonlocality to that of the nucleon-nucleus one using folding procedure [4]. However, the prediction of Jackson and Johnson [4], namely, the nonlocality range in the nucleus-nucleus systems, is smaller than that in the nucleon-nucleus one by about the inverse of the reduced mass in the former, was never really subjected to tests. In this Letter we supply such a test through a careful analysis of the elastic scattering of the systems 12 C 1 12 C and 16 O 1 12 C at intermediate energies.Before we set the stage for our analysis of exchange effects in the ion-ion interaction, we first say a few words about this interaction. The effective, one-body interaction that determines the elastic scattering between two nuclei can be written in a schematic way asThe first term, V bare ͑r, r 0 ͒, is usually called the bare interaction. It represents the ground state expectation value of the interaction operator, which contains as basic input the average effective nucleon-nucleon force (G matrix). The nonlocality here is solely due to the Pauli exclusion principle and in what follows we refer to it as the Pauli nonlocality. The second term contains the contribution arising from virtual transitions to intermediate states i (inelastic channels, transfer channels, etc). The corresponding nonlocality arises almost entirely from the polarizations that ensue in the heavy-ion system owing to the propagation in the intermediate channels. This is exemplified by the channel Green's function G ͑1͒ i ͑r, r 0 ; E͒, which contains an explicit energy dependence. This latter contribution is called the Feshbach term and thus we refer to its nonlocality as the Feshbach nonlocality. When confronting theory with experiment one usually relies on a one-body optical model with a local potential. This brings into light immediately the issue of extracting from Eq. (1) a l...

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confidence: 93%

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confidence: 97%

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confidence: 99%

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confidence: 99%

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Pauli Nonlocality in Heavy-Ion Rainbow Scattering: A Further Test of the Folding Model

et al. 1997

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Coexistence of Cluster States and Mean-Field-Type States

Horiuchi

2010

Clusters in Nuclei

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The equation of state for cold nuclear matter as seen in nucleus-nucleus scattering

et al. 1998

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The equation of state for cold nuclear matter is determined by the effective, density-dependent interaction between bound nucleons at temperature T = 0 . This interaction can be probed in elastic nucleus-nucleus collisions at various density overlaps which may extend to several times the normal matter density. For this purpose the elastic scattering of 16 O ions on 16 O has been measured at incident energies from 250 to 1120 MeV with high accuracy. From these data, which sample both diffractive and refractive scattering processes, we extract the underlying scattering potentials utilizing model-unrestricted analysis methods. These potentials fit very well into the systematics found in light-ion scattering and compare very favorably with microscopic calculations, if these are based on a weak density dependence of the effective NN interaction, resulting in a soft equation of state for cold nuclear matter.PACS 21.30 -Nuclear forces. PACS 21.65 -Nuclear matter. PACS 25.70.Bc -Elastic and quasielastic scattering. PACS 01.30.Cc -Conference proceedings.

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Equation of State for Cold Nuclear Matter from RefractiveO16+O<

Cited by 92 publications

References 23 publications

Pauli Nonlocality in Heavy-Ion Rainbow Scattering: A Further Test of the Folding Model

Pauli Nonlocality in Heavy-Ion Rainbow Scattering: A Further Test of the Folding Model

Coexistence of Cluster States and Mean-Field-Type States

The equation of state for cold nuclear matter as seen in nucleus-nucleus scattering

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