Role of mesons in nuclear saturation

Haftel, Michael I.; Tabakin, Frank; Richards, Keith C.

doi:10.1016/0375-9474(70)91064-x

Cited by 67 publications

(105 citation statements)

References 17 publications

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“…where we used the abbreviations R The above integral equations can be solved numerically by the matrix inversion method [101]. The method is explained in detail in Ref [102] where also a computer code is provided.…”

Section: R-matrix and Partial Wave Decompositionmentioning

confidence: 99%

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High-precision, charge-dependent Bonn nucleon-nucleon potential

2001

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We present a charge-dependent nucleon-nucleon (N N ) potential that fits the world proton-proton data below 350 MeV available in the year of 2000 with a χ 2 per datum of 1.01 for 2932 data and the corresponding neutron-proton data with χ 2 /datum = 1.02 for 3058 data. This reproduction of the N N data is more accurate than by any phase-shift analysis and any other N N potential. The charge-dependence of the present potential (that has been dubbed 'CD-Bonn') is based upon the predictions by the Bonn Full Model for charge-symmetry and charge-independence breaking in all partial waves with J ≤ 4. The potential is represented in terms of the covariant Feynman amplitudes for one-boson exchange which are nonlocal. Therefore, the off-shell behavior of the CD-Bonn potential differs in a characteristic and well-founded way from commonly used local potentials and leads to larger binding energies in nuclear few-and many-body systems, where underbinding is a persistent problem.

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Section: R-matrix and Partial Wave Decompositionmentioning

confidence: 99%

“…and using the same set of momenta to discretize the integrals on the r.h.s. produces a matrix equation that is solved easily by the matrix-inversion method [101]. The momentum-space wave funtions can be Fourier transformed into the configurationspace wave functions u and w by…”

Section: Appendix D: Deuteron Calculationsmentioning

confidence: 99%

High-precision, charge-dependent Bonn nucleon-nucleon potential

2001

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“…whereinQ(q, K; k f ) is the (angle averaged) Pauli operator and K is the average centre of mass momentum as defined previously [3,4], with the latter specified at a laboratory incident momentum p 0 and for a Fermi momentum k f . The energies in the propagators of the BBG equations include (real) auxiliary potentials U , and are defined bȳ…”

Section: The N N T and G Matricesmentioning

confidence: 99%

Signatures of Medium Effects on NN Interactions in Proton Scattering from Nuclei

Amos¹,

Dortmans²,

Karataglidis³

1997

Aust. J. Phys.

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Effective two nucleon (NN) interactions in the nuclear medium have been defined from an accurate mapping of NN g matrices obtained by solving the Brueckner–Bethe–Goldstone (BBG) equations for infinite nuclear matter. Those effective interactions have been used in fully microscopic calculations of proton-light nuclei (nonlocal) effective interactions from which predictions of the elastic scattering differential cross sections and analysing powers have been obtained. Results for incident proton energies of 65 and 200 MeV are considered in particular herein. The associated relative motion wave functions have been used as the distorted waves in distorted wave approximation (DWA) studies of select inelastic scattering events. The same effective interactions were used as the transition operators in those calculations. The relevant nuclear spectroscopy for the elastic and DWA (p, p′) calculations has been found from full (0 + 2)hϖ shell model evaluations of the nuclear structure; wave functions of which give good descriptions of form factors obtained from electron scattering.

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“…The Bethe-Goldstone equation is then solved in the infinite nuclear matter, following the method suggested by Haftel and Tabakin [7]. Eq.…”

Section: The Effective Interactionmentioning

confidence: 99%

Collective modes in a slab of interacting nuclear matter

Alberico¹,

Czerski²,

Pace³

et al. 1994

Z. Physik A - Hadrons and Nuclei

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We consider a slab of nuclear matter and investigate the collective excitations, which develop in the response function of the system. We introduce a finite-range realistic interaction among the nucleons, which reproduces the full G-matrix by a linear combination of gaussian potentials in the various spin-isospin channels. We then analyze the collective modes of the slab in the S = T = 1 channel: for moderate momenta hard and soft zero-sound modes are found, which exhaust most of the excitation strength. At variance with the results obtained with a zero range force, new "massive" excitations are found for the vector-isovector channel .

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Role of mesons in nuclear saturation

Cited by 67 publications

References 17 publications

High-precision, charge-dependent Bonn nucleon-nucleon potential

High-precision, charge-dependent Bonn nucleon-nucleon potential

Signatures of Medium Effects on NN Interactions in Proton Scattering from Nuclei

Collective modes in a slab of interacting nuclear matter

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