The nucleon-nucleon interaction and the nuclear many-body problem

Bäckman, S.-O.; Brown, G. E.; Niskanen, J.A.

doi:10.1016/0370-1573(85)90108-5

Cited by 190 publications

(128 citation statements)

References 78 publications

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“…A substantially improved trial superfluid state of definite particle number may be formed by applying the Jastrow operator (39) to an N -particle projection of the BCS trial state, expressed in the configuration-space representation as…”

Section: The Methods Of Correlated Basis Functions (Cbf)mentioning

confidence: 99%

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Sedrakian¹,

Clark

2006

Series on Advances in Quantum Many-Body Theory

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This chapter provides a review of microscopic theories of pairing in nuclear systems and neutron stars. Special attention is given to the mean-field BCS theory and its extensions to include effects of polarization of the medium and retardation of the interactions. Superfluidity in nuclear systems that exhibit isospin asymmetry is studied. We further address the crossover from the weak-coupling BCS description to the strong-coupling BEC limit in dilute nuclear systems. Finally, within the observational context of rotational anomalies of pulsars, we discuss models of the vortex state in superfluid neutron stars and of the mutual friction between superfluid and normal components, along with the possibility of type-I superconductivity of the proton subsystem.

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Section: The Methods Of Correlated Basis Functions (Cbf)mentioning

confidence: 99%

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Sedrakian¹,

Clark

2006

Series on Advances in Quantum Many-Body Theory

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“…The couplings g V N are quite well known, we use g ρN = 6.08 and g ωN = 3g ρN [16]. The g φN coupling turns out to be much smaller than g ωN [15] (in agreement with the OZI suppression), so we can safely neglect the φ meson in our calculations by setting g φN = 0.…”

Section: The Effective Lagrangianmentioning

confidence: 98%

Photoproduction of η and η' mesons off nucleons close to threshold

Borasoy

2000

Eur Phys J A

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The importance of Born terms and resonance exchange for η and η ′ photoproduction off both the proton and neutron within U (3) baryon chiral perturbation theory is investigated. Low-lying resonances such as the vector mesons and J P = 1/2 + , 1/2 − baryon resonances are included explicitly and their contributions together with the Born terms are calculated. The coupling constants of the resonances are determined from strong and radiative decays. We obtain reasonable agreement with experimental data near threshold.

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“…Figure 3 exhibits the triplet-even potential due to the tensor force in potential models such as exchange, exchange, M3Y [10], AV8 0 [4], and the G matrix (GM) for normal nuclear density. The first two are fixed from standard meson-nucleon coupling constants [11,12]. Although there are large differences in the short distance part, these potentials do not differ much for r > 0:8 fm except for exchange.…”

Section: Prl 95 232502 (2005) P H Y S I C a L R E V I E W L E T T E mentioning

confidence: 99%

Evolution of Nuclear Shells due to the Tensor Force

et al. 2005

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The monopole effect of the tensor force is presented, exhibiting how spherical single-particle energies are shifted as protons or neutrons occupy certain orbits. An analytic relation for such shifts is shown, and their general features are explained intuitively. Single-particle levels are shown to change in a systematic and robust way, by using the meson exchange tensor potential, consistently with the chiral perturbation idea. Several examples are compared with experiments. DOI: 10.1103/PhysRevLett.95.232502 PACS numbers: 21.60.ÿn, 21.10.ÿk, 21.30.Fe, 21.65.+f Shell structure characterizes finite quantum many-body systems. Atomic electrons confined by the Coulomb potential are subject to a well-known shell structure. For nuclei, since Mayer and Jensen [1], the shell structure has played a major role in clarifying nuclear structure. Recently, much progress has been made in the structure of exotic nuclei, which have rather extreme ratios of proton number (Z) to neutron number (N). Naturally, what new features can be found in their shell structure is of great and general interest.Along these lines, in this Letter, we present the variation of the nuclear shell structure due to the tensor force. The nucleon-nucleon (NN) interaction is originally due to meson exchange processes as predicted by Yukawa [2], and its tensor-force part is one of the most distinct manifestations of this meson exchange origin. As we shall show, the tensor force does indeed change the shell structure in a unique and robust way throughout the nuclear chart. The tensor force has been discussed over many decades. Its contribution to the spin-orbit splitting has been discussed, for instance, by Arima and Terasawa in terms of the second-order perturbation [3]. The importance of the tensor force for the nuclear binding energy has been demonstrated, for instance, by Pudliner et al. [4]. We shall show, in this Letter, how single-particle levels are changed systematically by the tensor force in the first order. The tensor force itself has certainly been included in various numerical calculations as one of the channels of the realistic nuclear force. Its first-order effect was discussed in individual cases, e.g., for 15 C and 16 O in [5]. In other early attempts, a possible tensor-force effect on the reduction of the spinorbit splitting was discussed in [6] with an example in the Os-Pb region [7]. The purpose of this Letter is, however, to present, for the first time, an analytic relation and a robust general feature, as well as concrete examples in close relation to experiments.The change of the shell structure, or the shell evolution, may have different origins. We focus upon the shell evolution due to the tensor force in this Letter. It is well known that the one-pion exchange process is the major origin of the tensor force, which is written aswhere~1 ;2 s 1;2 denotes the isospin (spin) of nucleons 1 and 2, K means the coupling of two operators in the brackets to an angular momentum (or rank) K, Y denotes the spherical harmonics for the Euler a...

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The nucleon-nucleon interaction and the nuclear many-body problem

Cited by 190 publications

References 78 publications

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond

Photoproduction of η and η' mesons off nucleons close to threshold

Evolution of Nuclear Shells due to the Tensor Force

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