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Garg, U.

doi:10.5506/aphyspolb.42.659

Cited by 9 publications

(25 citation statements)

References 26 publications

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“…In conclusion our work suggests that, based on the most precise and up-to-date data on GMR energies of Sn and Cd isotopes, together with a selected set of data from 56 Ni to 208 Pb, the value of K 0 is higher than generally accepted by a considerable margin. This result, 250 < K 0 < 315 MeV has been obtained without any microscopic model assumptions, except (marginally) the Coulomb effect, and revealed the essential role of surface properties in vibrating nuclei.…”

Section: Discussionmentioning

confidence: 66%

“…K 0 interchangeably according to the context. The second significant difference is that we useẼ 3 GMR energies in calculation of K A (1), consistent with the scaling model, instead ofẼ 1 , used in [49,50,56] difference in GMR energies and thus in K A .…”

Section: A Methodsmentioning

confidence: 94%

“…This equation was approximated by a quadratic function of x, y = a + bx 2 with b = K τ and a = K vol (1 + cA −1/3 ). The (weak) mass dependence of a was neglected based on the argument that A −1/3 is changing only by ∼3.3% over the range of Sn isotopes and just under 3% for Cd nuclei [56]. Higher order terms, namely the curvature term and the surface contribution to K τ were not included in the analysis.…”

Section: A Methodsmentioning

confidence: 99%

“…We have divided them to three groups (see Table II), each analyzed using our new analysis method. The objective of this section is to explore the degree to which the new method of analysis reproduces the results of [49,50,56] when the same constraints on c and K coul are retained. Relaxation of these constraints is studied in the next section.…”

Section: B Sn and CD Datamentioning

confidence: 99%

“…To examine how well results using the new method reproduce those of [49,50,56] we consider first K τ . The tabulated values are broadly in line with their -550 MeV for all data sets.…”

Section: Sn (mentioning

confidence: 99%

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Incompressibility in finite nuclei and nuclear matter

2014

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The incompressibility (compression modulus) K0 of infinite symmetric nuclear matter at saturation density has become one of the major constraints on mean-field models of nuclear many-body systems as well as of models of high density matter in astrophysical objects and heavy-ion collisions. It is usually extracted from data on the Giant Monopole Resonance (GMR) or calculated using theoretical models. We present a comprehensive re-analysis of recent data on GMR energies in even-even 112−124 Sn and 106,100−116 Cd and earlier data on 58 ≤ A ≤ 208 nuclei. The incompressibility of finite nuclei KA is calculated from experimental GMR energies and expressed in terms of A −1/3 and the asymmetry parameter β = (N-Z)/A as a leptodermous expansion with volume, surface, isospin and Coulomb coefficients K vol , K surf , Kτ and K coul . Only data consistent with the scaling approximation, leading to a fast converging leptodermous expansion, with negligible higher-order-term contributions to KA, were used in the present analysis. Assuming that the volume coefficient K vol is identified with K0, the K coul = -(5.2 ± 0.7) MeV and the contribution from the curvature term KcurvA −2/3 in the expansion is neglected, compelling evidence is found for K0 to be in the range 250 < K0 < 315 MeV, the ratio of the surface and volume coefficients c = K surf /K vol to be between -2.4 and -1.6 and Kτ between -840 and -350 MeV. In addition, estimation of the volume and surface parts of the isospin coefficient Kτ , Kτ,v and Kτ,s, is presented.We show that the generally accepted value of K0 = (240 ± 20) MeV can be obtained from the fits provided c ∼ -1, as predicted by the majority of mean-field models. However, the fits are significantly improved if c is allowed to vary, leading to a range of K0, extended to higher values. The results demonstrate the importance of nuclear surface properties in determination of K0 from fits to the leptodermous expansion of KA .A self-consistent simple (toy) model has been developed, which shows that the density dependence of the surface diffuseness of a vibrating nucleus plays a major role in determination of the ratio K surf /K vol and yields predictions consistent with our findings.

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Section: Discussionmentioning

confidence: 66%

Section: A Methodsmentioning

confidence: 94%

Section: A Methodsmentioning

confidence: 99%

Section: B Sn and CD Datamentioning

confidence: 99%

“…To examine how well results using the new method reproduce those of [49,50,56] we consider first K τ . The tabulated values are broadly in line with their -550 MeV for all data sets.…”

Section: Sn (mentioning

confidence: 99%

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Incompressibility in finite nuclei and nuclear matter

2014

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Giant monopole resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the “softness” of Sn and Cd nuclei

et al. 2012

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The isoscalar giant monopole resonance (ISGMR) in even-A Cd isotopes has been studied by inelastic α-scattering at 100 MeV/u and at extremely forward angles, including 0• . The asymmetry term in the nuclear incompressibility extracted from the ISGMR in Cd isotopes is found to be Kτ = −555±75 MeV, confirming the value previously obtained from the Sn isotopes. ISGMR strength has been computed in relativistic RPA using NL3 and FSUGold effective interactions. Both models significantly overestimate the centroids of the ISGMR strength in the Cd isotopes. Combined with other recent theoretical effort, the question of the "softness" of the open-shell nuclei in the tin region remains open still.The equation of state (EOS) of nuclear matter plays an important role in our understanding of a number of interesting phenomena such as the collective behavior of nucleons in the nuclei, the massive stellar collapse leading to a supernova explosion, nuclear properties including the neutron-skin thickness of heavy nuclei, and the radii of neutron stars [1, 2]. The nuclear incompressibility, K ∞ , is the curvature of EOS of nuclear matter at saturation density [3]. K ∞ is, thus, a measure of nuclear stiffness and thereby imposes significant constraints on theoretical descriptions of the effective nuclear interactions. However, even more stringent constraints emerge as one studies the evolution of the incompressibility coefficient as the system becomes neutron rich. Neutron-rich systems are sensitive to the poorly-known density dependence of the symmetry energy and the experiments reported here are of vital importance in this regard.The study of the isoscalar giant monopole resonance (ISGMR) provides a direct experimental tool to study nuclear incompressibility in finite nuclear systems. The centroid energy of ISGMR, E ISGMR , can be directly related to the nuclear incompressibility of finite nuclear matter, K A , as:where, m is the nucleon mass and < r 2 > is the mean square radius of the nucleus [4,5]. K A may be further

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Skyrme interaction and nuclear matter constraints

et al. 2012

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This paper presents a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear saturation density at zero temperature and their density dependence, derived by the liquid-drop model, in experiments with giant resonances and heavy-ion collisions. The objective is to identify those parametrizations which best satisfy the current understanding of the physics of nuclear matter over a wide range of applications. Out of the 240 models, only 16 are shown to satisfy all these constraints. Additional, more microscopic, constraints on the density dependence of the neutron and proton effective mass β-equilibrium matter, Landau parameters of symmetric and pure neutron nuclear matter, and observational data on high-and low-mass cold neutron stars further reduce this number to 5, a very small group of recommended Skyrme parametrizations to be used in future applications of the Skyrme interaction of nuclear-matter-related observables. Full information on partial fulfillment of individual constraints by all Skyrme models considered is given. The results are discussed in terms of the physical interpretation of the Skyrme interaction and the validity of its use in mean-field models. Future work on application of the Skyrme forces, selected on the basis of variables of nuclear matter, in the Hartree-Fock calculation of properties of finite nuclei, is outlined.

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Untitled

Cited by 9 publications

References 26 publications

Incompressibility in finite nuclei and nuclear matter

Incompressibility in finite nuclei and nuclear matter

Giant monopole resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the “softness” of Sn and Cd nuclei

Skyrme interaction and nuclear matter constraints

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