dorsal/arxiv
View SchemaInfinite Nuclear Matter on the Light Front: Nucleon-Nucleon Correlations
| Authors | G. A. Miller, R. Machleidt |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903080 |
| URL | https://arxiv.org/abs/nucl-th/9903080 |
| DOI | 10.1103/PhysRevC.60.035202 |
| Journal | Phys.Rev. C60 (1999) 035202 |
Abstract
A relativistic light front formulation of nuclear dynamics is developed and applied to treating infinite nuclear matter in a method which includes the correlations of pairs of nucleons: this is light front Brueckner theory. We start with a hadronic meson-baryon Lagrangian that is consistent with chiral symmetry. This is used to obtain a light front version of a one-boson-exchange nucleon-nucleon potential (OBEP). The accuracy of our description of the nucleon-nucleon (NN) data is good, and similar to that of other relativistic OBEP models. We derive, within the light front formalism, the Hartree-Fock and Brueckner Hartree-Fock equations. Applying our light front OBEP, the nuclear matter saturation properties are reasonably well reproduced. We obtain a value of the compressibility, 180 MeV, that is smaller than that of alternative relativistic approaches to nuclear matter in which the compressibility usually comes out too large. Because the derivation starts from a meson-baryon Lagrangian, we are able to show that replacing the meson degrees of freedom by a NN interaction is a consistent approximation, and the formalism allows one to calculate corrections to this approximation in a well-organized manner. The simplicity of the vacuum in our light front approach is an important feature in allowing the derivations to proceed. The mesonic Fock space components of the nuclear wave function are obtained also, and aspects of the meson and nucleon plus-momentum distribution functions are computed. We find that there are about 0.05 excess pions per nucleon.
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"abstract": "A relativistic light front formulation of nuclear dynamics is developed and\napplied to treating infinite nuclear matter in a method which includes the\ncorrelations of pairs of nucleons: this is light front Brueckner theory. We\nstart with a hadronic meson-baryon Lagrangian that is consistent with chiral\nsymmetry. This is used to obtain a light front version of a one-boson-exchange\nnucleon-nucleon potential (OBEP). The accuracy of our description of the\nnucleon-nucleon (NN) data is good, and similar to that of other relativistic\nOBEP models. We derive, within the light front formalism, the Hartree-Fock and\nBrueckner Hartree-Fock equations. Applying our light front OBEP, the nuclear\nmatter saturation properties are reasonably well reproduced. We obtain a value\nof the compressibility, 180 MeV, that is smaller than that of alternative\nrelativistic approaches to nuclear matter in which the compressibility usually\ncomes out too large. Because the derivation starts from a meson-baryon\nLagrangian, we are able to show that replacing the meson degrees of freedom by\na NN interaction is a consistent approximation, and the formalism allows one to\ncalculate corrections to this approximation in a well-organized manner. The\nsimplicity of the vacuum in our light front approach is an important feature in\nallowing the derivations to proceed. The mesonic Fock space components of the\nnuclear wave function are obtained also, and aspects of the meson and nucleon\nplus-momentum distribution functions are computed. We find that there are about\n0.05 excess pions per nucleon.",
"arxiv_id": "nucl-th/9903080",
"authors": [
"G. A. Miller",
"R. Machleidt"
],
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"doi": "10.1103/PhysRevC.60.035202",
"journal_ref": "Phys.Rev. C60 (1999) 035202",
"title": "Infinite Nuclear Matter on the Light Front: Nucleon-Nucleon Correlations",
"url": "https://arxiv.org/abs/nucl-th/9903080"
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