Properties of homogeneous and inhomogeneous mass relations

Jänecke, J.; Comay, E.

doi:10.1016/0375-9474(85)90544-5

Cited by 22 publications

(21 citation statements)

References 13 publications

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“…The double difference of binding energies, δV (1) (Z, N), was introduced for investigating the semiempirical mass formula [2][3][4]. This quantity is expected to roughly represent the p − n interactions between the last proton and neutron from the form of Eq.…”

Section: Double Differences Of Binding Energies and P-n Interactmentioning

confidence: 99%

“…This expression was originally given by de-Shalit [4,28] in the earliest investigations of the effective p-n interactions. Equation (16) (2) has a sign opposite to that of Brenner's etal.…”

Section: Double Differences Of Binding Energies and P-n Interactmentioning

confidence: 99%

“…Figure 6 shows the symmetry energy coefficient a(A) = 4a sym in the expression E sym +E W = a(A)T (T +1)/A for the f 7/2 shell nuclei. The symmetry energy coefficient can be extracted by the treatment of Jänecke and Comay [29,30]. We calculated the Coulomb-energy-corrected binding energies (5) symmetry in the single-j shell approximation.…”

Section: Symmetry Energy and Wigner Energymentioning

confidence: 99%

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Proton-neutron interactions inN≈Znuclei

Kaneko

Hasegawa

1999

Phys. Rev. C

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Proton-neutron (p − n) interactions and their various aspects in N ≈ Z nuclei of g 9/2 -and f 7/2 subshell are studied using a schematic model interaction with four force parameters proposed recently. It is shown that the model interaction well reproduces observed physical quantities: the double differences of binding energies, symmetry energy, Wigner energy, odd-even mass difference and separation energy, which testifies to the reliability of the model interaction and its p−n interactions. First of all, the double differences of binding energies are used for probing the p-n interactions. The analysis reveals different contributions of the isoscalar and isovector p − n pairing interactions to two types of double differences of binding energies, and also indicates the importance of a unique form of isoscalar p − n pairing force with all J components. Next, it is shown that this p-n force is closely related to the symmetry energy and the Wigner energy. Other calculations demonstrate the significant roles of p − n interactions in the odd-even mass difference and in the separation energy at N = Z. PACS number(s):

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Section: Double Differences Of Binding Energies and P-n Interactmentioning

confidence: 99%

“…This expression was originally given by de-Shalit [4,28] in the earliest investigations of the effective p-n interactions. Equation (16) (2) has a sign opposite to that of Brenner's etal.…”

Section: Double Differences Of Binding Energies and P-n Interactmentioning

confidence: 99%

Section: Symmetry Energy and Wigner Energymentioning

confidence: 99%

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Proton-neutron interactions inN≈Znuclei

Kaneko

Hasegawa

1999

Phys. Rev. C

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“…Standard deviations for describing the masses of unknown nuclei increase with the distance from the known nuclei. This increase in standard deviations for actually measured mass values with distance from a given data base has previously been studied for one particular mass equation [41]. In order to establish reliability criteria for long-range extrapolations based on mass equations one needs to investigate the underlying physical principles, as was done in great detail by Lunney, Pearson and Thibault [1], and by considering global characteristics of the mass surfaces generated by the various mass equations including higher-order effects, as is done in the present work.…”

Section: Reliability Criteriamentioning

confidence: 93%

Symmetry energies, pairing energies, and mass equations

Jänecke

O’Donnell

2007

Nuclear Physics A

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“…It contributes as a coefficient for the squared neutron-proton asymmetry in usual macroscopic mass formula, E/A = H 0 (A, Z) + a τ (N − Z) 2 /A 2 , where H 0 does not depend on the asymmetry, Z, N and A are the proton, neutron and mass numbers respectively. Other powers of the asymmetry (proportional to (N − Z) n for n = 2 [1]) are usually expected to be less relevant for the equation of state (EOS) of nuclear matter based on such parameterizations [2,3]. The same kind of parameterization is considered for nuclear matter where instead of nucleon numbers one has to deal with densities.…”

Section: Introductionmentioning

confidence: 99%

Symmetry energy coefficients for asymmetric nuclear matter

Braghin¹

2003

Braz. J. Phys.

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Symmetry energy coefficients of asymmetric nuclear matter generalized are investigated as the inverse of nuclear matter polarizabilities with two different approaches. Firstly a general calculation shows they may depend on the neutron-proton asymmetry itself. The choice of particular prescriptions for the density fluctuations lead to certain isospin (n-p asymmetry) dependences of the polarizabilities. Secondly, with Skyrme type interactions, the static limit of the dynamical polarizability is investigated corresponding to the inverse symmetry energy coefficient which assumes different values at different asymmetries (and densities and temperatures). The symmetry energy coefficient (in the isovector channel) is found to increase as n-p asymmetries increase. The spin symmetry energy coefficient is also briefly investigated. I IntroductionThe (n-p) symmetry energy coefficient and its dependence on the nuclear density has been extensively studied and this is of relevance, for example, for the description of macroscopic nuclear properties as well as for proto-neutron and neutron stars. It represents the tendency of nuclear forces to have greater binding energies (E/A) for symmetric systems -equal number of protons and neutrons. It contributes as a coefficient for the squared neutron-proton asymmetry in usual macroscopic mass formula,, where H 0 does not depend on the asymmetry, Z, N and A are the proton, neutron and mass numbers respectively. Other powers of the asymmetry (proportional to (N − Z) n for n = 2 [1]) are usually expected to be less relevant for the equation of state (EOS) of nuclear matter based on such parameterizations [2,3]. The same kind of parameterization is considered for nuclear matter where instead of nucleon numbers one has to deal with densities. a τ is also the parameter which measures the response of the system to a perturbation which tends to separate protons from neutrons. It is given by the static polarizability of the system which also may depend on the asymmetry of the medium. This point has been developped and emphasized recently [4,5]. The spin symmetry energy coefficient of nuclear matter may also be defined, a σ , representing the cost in energy to make the system spin-asymmetric (and eventually polarized nuclear matter). The spin channel is relevant for the study of the neutrino interaction with matter because it couples with axial vector current together with the scalar channel [6,7,8]. A suppression of the spin susceptibility (in this work we will be dealing rather with its inverse) leads to the suppression of Gamow Teller transitions which are of interest for the supernovae mechanism [8] and eventually to instabilities associated to ferromagnetic polarized states [9,8]. In this work we articulate and extend the ideas developped previously for the dependence of symmetry energy coefficients on neutron-proton asymmetry. For this we use a calculation for the static polarizabilities -proportional to the inverse of the symmetry coefficients in asymmetric matterwhich was done using Sky...

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Properties of homogeneous and inhomogeneous mass relations

Cited by 22 publications

References 13 publications

Proton-neutron interactions inN≈Znuclei

Proton-neutron interactions inN≈Znuclei

Symmetry energies, pairing energies, and mass equations

Symmetry energy coefficients for asymmetric nuclear matter

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