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Nuclear Physics A

Effective interactions and elementary excitations in nuclear matter

David Pines, Khandker Quader, Jochen Wambach

Published Feb 1, 1988• 38 citations
Publisher
DOI
10.1016/0375-9474(88)90348-x

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We study symmetric nuclear matter using bare nucleon-nucleon (NNNNNN) interactions with the finite particle-number approach within finite cubic boxes. Due to the NNNNNN correlations originating from the bare NNNNNN interaction, two nucleons can be excited to the high-momentum region, leading to the increase of the kinetic energy in nuclear matter. We further consider the spin excitations in the nucleon pairs, where the spins of the two nucleons are changed, and this excitation is important for the tensor correlation. The unitary correlation operator method (UCOM) is used to treat the short-range correlation. The tail correction coming from the neighboring boxes is also included. We demonstrate the contributions of various excitations of nucleon pairs as well as the tail correction to the total energy at normal density. We also discuss the effects of UCOM and correlated nucleon pairs on the density dependence of the total energy. We calculate the equations of state of symmetric nuclear matter using two kinds of the Argonne potentials and the results agree with those from other many-body theories. The density dependences of the Hamiltonian components are also shown.
The collective excitation of the nuclear matter is analyzed in a bosonizated formula of Landau Fermi liquid theory. When the nonlinear self-interacting terms of the scalar meson are taken into account in the Walecka model, the collective excitation energies of the nuclear matter can be obtained self-consistently. It shows that the calculation results are consistent with the corresponding experimental data of the nucleus 208Pb{}^{208}Pb208Pb when the quantum number of the orientation of the orbital angular momentum mmm is zero. Moreover, the cases with the nonzero mmm values are also studied, it manifests that the collective excitation energy with the fixed nonzero mmm value are almost invariant when the quantum number of the orbital angular momentum lll changes. However, the collective excitation energy of the nuclear matter decreases with the absolute value of mmm increasing. The direct interaction between two nucleons near the Fermi surface only changes the Fermi velocity, while the exchange interaction causes the collective excitation of the nuclear matter. At this point, it is different from the traditional views in nuclear physics, which announce that the random phase approximation is essential to generate the nuclear collective excitation states.
Following system with its predilections and propensities and properties are discussed: Noninvasive Measurability, Leggett-Garg Inequality, Each Flavor Interacts With Other Matter In A Unique Way, So When We Observe Neutrinos We Also Observe Their Flavor, A Techni-Higgs Particle Is Not An Elementary Particle, Pure Difference Is Closer To Antagonism, New Arises Only From Repetition, None Of The Four Known Forces Of Nature (Gravity, The Electromagnetic Force, The Weak Nuclear Force And The Strong Nuclear Force) Are Any Good At Binding Techni-Quarks Together, Effect Of The Neutron Lifetime On Processes In The Early Universe, S-Process Simulations That Adopt A Treatment Of Convective Boundaries Based On The Results Of Hydrodynamic Simulations And On The Theory Of Mixing Due To Gravity Waves In The Vicinity Of Convective Boundaries The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-870780-877441.pdf