Showing papers on "Nuclear matter published in 1969"
TL;DR: In this paper, a generalized treatment of average nuclear properties is presented, based on a refinement of the Liquid Drop Model, called the Droplet Model, which is derived by expanding the volume, surface, and Coulomb energies in Taylor series around the standard Liquid Drop model values.
567 citations
TL;DR: In this article, a simplified version of the non-viscous irrotational liquid-drop model is proposed to account for the properties of the division of heavy nuclei at low excitation energies.
164 citations
TL;DR: In this article, the effects of relativistic elastic unitarity on low-energy nucleon-nucleon scattering and the binding energy of nuclear matter were investigated and it was shown that relativism can increase the nuclear matter binding by approximately 0.5 MeV per particle over the value obtained for a non-relativistic potential having a similar shape and identical phase shifts.
92 citations
TL;DR: In this article, a theory for the elastic nuclear heavy-ion scattering in a phenomenological way is presented, where the density properties of finite nuclei are derived with a schematic ansatz for the interaction energy between nuclear matter.
Abstract: A theory is presented to calculate potentials for the elastic nuclear heavy-ion scattering in a phenomenological way. The density properties of finite nuclei are derived with a schematic ansatz for the interaction energy between nuclear matter. The same interaction energy is applied to the calculation of the real part of the heavy-ion potential, which is of the quasimolecular type. The imaginary part is connected with the outflow time of nuclear matter out of compressed regions of overlapping nuclei. The resulting cross section for the elastic O16-O16 scattering reproduces the experiment up to 30 MeV quite well. An effective compression modulus of the S32 compound system can be deduced from the scattering experiment. It results to be about 200 MeV.
81 citations
TL;DR: In this paper, the authors examined the smallness of the three-body effect in nuclear matter and showed that second-order effects are larger, with the net result of ≈ 2.5 MeV per particle additional binding at the saturation density.
66 citations
TL;DR: In this article, a method for calculating the Brueckner reaction matrix in the oscillator representation, which was outlined in an earlier letter, is explained in detail and the basic equations are derived and solved numerically.
52 citations
47 citations
TL;DR: In this article, the Coulomb energy differences between nuclear states that are members of an isobaric-spin multiplet were measured and the radius of the excess nucleons was found.
46 citations
TL;DR: The Brueckner-Goldstone diagrams with four independent hole lines, which give the third term in the expansion for the ground-state energy of infinite nuclear matter, are enumerated in this article.
Abstract: The Brueckner-Goldstone diagrams with four independent hole lines, which give the third term in the expansion for the ground-state energy of infinite nuclear matter, are enumerated. These diagrams are grouped in a natural way into 16 distinct classes. Only one of these classes (the four-body clusters) involves the solution of a four-body equation. Six classes require the solution of the three-body Bethe-Faddeev equations, and nine classes can be evaluated in terms of two-body matrix elements alone. Exact formal expresions are given for the contribution to the energy from each class of diagrams. In these expressions, all exchange diagrams are included, and all energy denominators are clearly defined. Numerical estimates are made for each class of diagrams, assuming the two-body interaction to be the Reid soft-core potential. The sum of all contributions is attractive and is about 0.6-1.6 MeV. Most of the uncertainty in this result is caused by omission of the tensor force in certain diagrams. The implications of these results for the convergence of the energy expansion are discussed.
TL;DR: In this paper, the relativistic equation of state for interacting hard core nucleons at T = 0 is developed, and used in integrating the general-relativistic hydrodynamic-equilibrium equation for the Schwarzschild metric.
Abstract: The conditions for dense nuclear matter to undergo a ferromagnetic transition are estimated, and shown to be applicable to neutron stars. The relativistic equation of state for interacting hard-core nucleons at T = 0 is developed, and used in integrating the general-relativistic hydrodynamic-equilibrium equation for the Schwarzschild metric. The calculation yields the boundaries between unmagnetized, partially magnetized and fully magnetized nuclear matter in the star, and also the total mass and the radius of the star. The latter two quantities, as functions of central density, are in qualitative agreement with other calculations of the equilibrium properties of a star composed of interacting nuclear matter.
TL;DR: In this article, various methods for solving the Bethe-Goldstone equation are reviewed from the theoretical standpoint, and then tested in detailed calculations. But the results of these methods are limited to the 3 D 1 state.
TL;DR: The matrix elements deduced from phase shifts in an earlier paper are used in first-order perturbation-theory calculations for closed-shell nuclei and for nuclei with one or two particles or holes as mentioned in this paper.
TL;DR: The magnetic susceptibility of a neutron gas at zero temperature, an idealization of neutron-star matter, is estimated for the realistic, soft core nucleon-nucleon potential of Reid.
Abstract: The magnetic susceptibility of a neutron gas at zero temperature, an idealization of neutron-star matter, is estimated for the realistic, soft-core nucleon-nucleon potential of Reid. For mass densities below twice that of ordinary nuclear matter, there is no sign of a ferromagnetically favorable instability of the normal ground state of the system, the effect of the interactions being to depress the magnetic susceptibility relative to its Fermi-gas value.
TL;DR: In this article, the exact method used by Kohler and McCarthy to calculate the reaction matrix for 16 O is applied to some nuclear matter calculations with the Hamada-Johnson potential.
TL;DR: In this article, Coulomb energy differences, obtained from isobaric analog states, were made the subject of a careful quantitative study in strings of isotopes with closed proton shells, and the behavior of these energies with increasing neutron excess in Ca isotopes was found to differ qualitatively from that in Ni or Sn isotopes.
TL;DR: In this article, the rate of production and the asymmetry of neutrons emitted directly with the capture of polarized muons have been expressed in terms of single-nucleon integrals.
TL;DR: The structure of the reaction-matrix (K -matrix) in many-body calculations of nuclei and the origin of its non-locality is discussed in this paper.
TL;DR: Hard core, soft core, finite core, short range p2-dependent, and intermediate range p 2-dependent potentials with one-pion exchange tails are precisely matched to the 0-330 MeV 1S0 data as discussed by the authors.
TL;DR: A number of realistic separable nucleon-nucleon interactions have been used to calculate the binding energy and saturation density of nuclear matter as mentioned in this paper, and binding energy is calculated to first order in the reaction matrix using self-consistent single-particle energies for occupied states and zero potential energy for unoccupied ones.
TL;DR: In this article, a set of generalized nuclear matter curves is calculated as a function of density and ξ = 1−(2Z/A), which maps out the energy versus density plane for 0.
Abstract: A set of generalized nuclear matter curves is calculated as a function of density and ξ = 1−(2Z/A), which maps out the energy versus density plane for 0 ≤ ξ ≤ 1 and determines the nuclear matter eq...
TL;DR: By adding to the reformulated optical model a density dependence of the interaction, the discrepancy between the results of this model and the Coulomb displacement energies is removed as discussed by the authors, which suggests that a neutron halo does not exist in heavy nuclei.
TL;DR: In this paper, the parameters of Bethe's density-dependent effective interaction suggested by Bethe are determined from restricted Hartree-Fock calculations in 4 He, 16 O, 40 Ca and infinite nuclear matter.
TL;DR: In this article, a treatment of spin-orbit interactions described by two-body local velocity-independent potentials is presented, with conditions that must be satisfied by the nuclear interaction in order to be consistent with saturation.
Abstract: Rigorous conditions are written down, that must be satisfied by the nuclear interaction in order to be consistent with saturation. They apply to general potential shapes (possibly different in different spin-isospin states). The treatment includes direct, exchange, tensor and spin-orbit interactions described by two-body local velocity-independent potentials.
TL;DR: In this paper, the Faddeev-Lovelace equations were modified to include the case in which two of the particles are charged, and a set of integral equations similar to Lovelace's were obtained for the Coulomb-distorted amplitudes.
Abstract: The Faddeev-Lovelace equations, describing three particles interacting via short-range separable potentials, are modified to include the case in which two of the particles are charged. The three-body amplitudes are split into pure Coulomb and Coulomb-distorted amplitudes, and a set of integral equations similar to Lovelace's are obtained for the Coulomb-distorted amplitudes. The pure Coulomb contributions are taken to be zero for rearrangement channels and are approximated by two-body Coulomb amplitudes for the elastic scattering channel. Numerical results for deuteron-induced reactions on $^{16}\mathrm{O}$ are compared with experimental data, with encouraging results.
TL;DR: In this paper, the convergence of a modified Goldstone linked-cluster expansion for the binding energy of nuclear matter is considered for the Tabakin and Elliott-Flowers potentials.
Abstract: The convergence of a modified Goldstone linked-cluster expansion for the binding energy of nuclear matter is considered for the Tabakin and Elliott-Flowers potentials. It is argued that a comparison of the first-order term with the second-order term cannot give a direct indication of the convergence of the series. Calculations have therefore been performed to evaluate all terms through third order. For the Elliott-Flowers potential the third-order terms amount to 26% of the second-order contribution; for the Tabakin potential they are less than about 10%.