Off-Shell Effects in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>18</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mprescripts /><m

Pradhan, H.C.; Sauer, P.U.; Vary, James P.

doi:10.1103/physrevc.6.407

Cited by 13 publications

(5 citation statements)

References 10 publications

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“…At this special occasion, another paper with James and Pradhan of that early time [8] comes to my mind, a paper whose idea still echos in modern shell-model approaches: The core region of the 2N force -now in meson theory the realm of omegaand rho-meson exchanges, in chiral effective field theory (EFT) the realm of two-and many-nucleon contact contributions -was for us terra incognita which we wanted to explore by the technique of short-ranged phase-equivalent off-shell variations, hoping to stumble on a novel, more pleasing parametrization of the 2N potential. In retrospect, we did not learn anything about that unknown part of the 2N force, since we were searching rather randomly in that paper.…”

Section: My Personal View On the Nuclear Shell Model Then And Nowmentioning

confidence: 95%

“…But second, more basic, how can we learn details about those forces from some nuclear properties, if they are really reliably described theoretically? Our paper on phase-equivalent off-shell variations [8] mixed up both fields of research, and therefore hopelessly dealt with too complex problems. The second question is the field of few-nucleon systems.…”

Section: My Personal View On the Nuclear Shell Model Then And Nowmentioning

confidence: 99%

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Three-Nucleon Forces Revisited - Some Historical Thoughts

Sauer

2013

Preprint

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Historic steps in the emergence, the derivation and the use of three-nucleon forces, genuine and effective, for calculations of few-nucleon systems and of the structure of heavier nuclei are recalled. The research focus is on few-nucleon systems. The need of three-nucleon forces for a successful description of some data and the remaining puzzles of other data, not explainable despite the inclusion of three-nucleon forces, are discussed.

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Section: My Personal View On the Nuclear Shell Model Then And Nowmentioning

confidence: 95%

Section: My Personal View On the Nuclear Shell Model Then And Nowmentioning

confidence: 99%

Three-Nucleon Forces Revisited - Some Historical Thoughts

Sauer

2013

Preprint

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“…This transformation have been used in many-body applications in Ref. [68]. However the authors of Ref.…”

Section: Phase Equivalent Transformation With Continuous Parameters Amentioning

confidence: 99%

“…However the authors of Ref. [68] used few particular cases of the transformation corresponding to particular parameter values and did not try to vary the parameters continuously.…”

Section: Phase Equivalent Transformation With Continuous Parameters Amentioning

confidence: 99%

Loosely bound three-body nuclear systems in the J-matrix approach

Lurie¹,

Shirokov²

2004

Annals of Physics

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We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely-bound 11 Li and 6 He nuclei within three-body cluster models 9 Li + n + n and α + n + n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the 11 Li and 6 He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n−α interaction on the properties of the 6 He nucleus is examined.

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“…The third-order contributions calculated by Barrett and Kirson [6] were of about the same order of magnitude as the secondorder contributions. These included different approaches to calculating the reaction matrix itself [13,14], as well as more careful treatment of the second-order terms [15][16][17]. The results of these calculations raised serious questions regarding the convergence of the perturbation expansion order by order in G [1].…”

Section: Introductionmentioning

confidence: 99%

Core polarization revisited

1977

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The core-polarization process which has been so important in determining the twoparticle effective shell-model interaction is re-examined so as to include effects not present in previous calculations as well as to consolidate effects included in separate calculations. The effects considered here are (i) using reaction matrix elements G with the proper starting energy for their position in the diagram, (ii) summing to intermediate excitations of 10 hQ so as to saturate the effect due to the tensor force and (iii) treating the intermediate-state spectrum consistently in calculating both G and the core polarization. Our calculations are performed in a shifted harmonic oscillator basis, and we discuss the importance of the choice of the unperturbed Hamiltonian used in the calculations. Our results indicate that the core polarization is significantly changed from the lowest-order results when the correct starting energies and higher intermediate-state summations are included. We present our results as a function of the shift and find that agreement with experiment is better for a small shift. We conclude that at the very least one should always include the correct starting energy effect in computing the higherorder terms.

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Off-Shell Effects in theO18andF

Cited by 13 publications

References 10 publications

Three-Nucleon Forces Revisited - Some Historical Thoughts

Three-Nucleon Forces Revisited - Some Historical Thoughts

Loosely bound three-body nuclear systems in the J-matrix approach

Core polarization revisited

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