Binding energies of Λ particles and the Λ-N interaction

Bodmer, A.R.; Sampanthar, S.

doi:10.1016/0029-5582(62)90744-7

Cited by 52 publications

(5 citation statements)

References 31 publications

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“…4 ' 9 If attractive three-body potentials make a significant contribution to the binding of the hypertriton, the two-body potentials would be weaker than our calculations indicate. 10,11 In this case, the hyperdeuteron might not be expected to be bound even for the largest hard-core radius considered here. The potentials used here have been assumed to contain the effect of a possible tensor component.…”

Section: +Yle-^-d \-E~^~d^ R>dmentioning

confidence: 88%

AverageΛ-Nucleon Interaction in the Hypertriton

Smith¹,

Downs²

1964

Phys. Rev.

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Upper bounds on the strength of the average A-nucleon interaction required to account for the observed binding of the hypertriton have been established in a variation calculation with a ten-parameter trial function. Central two-body potentials having hard-core radii 0.2,0.4, and 0.6 F and ranges suggested by consideration of the two-pion-exchange mechanism were used. These calculations led to improvements of 3-6% (depending upon the hard-core radius) in the required strengths over the results of previous calculations with a four-parameter function. The results cannot be used to rule out the existence of a bound hyperdeuteron of spin 0 for a hard-core radius as large as 0.6 F. A partial variation calculation is described, in which only two of the ten parameters of the trial function are varied. When the remaining parameters are fixed by consideration of the two-body subsystems of which the hypertriton is composed, variation of two appropriate parameters leads to required strengths within 3% of the values obtained by varying all ten parameters.

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Section: +Yle-^-d \-E~^~d^ R>dmentioning

confidence: 88%

AverageΛ-Nucleon Interaction in the Hypertriton

Smith¹,

Downs²

1964

Phys. Rev.

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“…during the early days of hypernuclear physics, as an important ingredient to calculate the binding energy of hypernuclei. Since then the ΛNN interaction received considerable attention in many other studies of hypernuclei [35][36][37][38][39][40][41][42][43]. It is thus quite natural to expect that YTBIs can influence the EoS of dense matter and can represent a likely candidate to solve the hyperon puzzle [45][46][47][48].…”

Section: Hyperon Starsmentioning

confidence: 99%

The Hyperon Puzzle in Neutron Stars

Bombaci

2017

Proceedings of the 12th International Conference on Hypernuclear and Strange Particle Physics (HYP2015)

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The so called hyperon puzzle, i.e. the difficulty to reconcile the measured masses of neutron stars (NSs) with the presence of hyperons in their interiors, is one of the hot topics in astrophysics which is stimulating copious experimental and theoretical research in hypernuclear physics. After illustrating the origin of the hyperon puzzle, I discuss some of its possible solutions, and particularly those related to the role of hyperonic two-and three-body interactions on the equation of state of dense matter. Afterward, I discuss a possibility to circumvent the hyperon puzzle allowing for the presence of strangeness in NSs in the form of deconfined strange quark matter, and thus considering the so called quark stars, i.e. hybrid stars or strange stars. Finally I discuss the astrophysical consequences of the possible conversion process of an hadronic star to a quark star.

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“…However, ΛN interaction is weaker than NN but it is imperative as well as important to describe the strange system. Many of the theoretical calculations have been made to give the importance of ΛN interaction and to facilitate the path toward multi-strange systems [1][2][3][4][5].The information about the hyperon-nucleon interaction especially Λp and Λn can be extracted from the hypernuclei. Due to zero isospin of Λ−hyperon, the one pion exchange is prohibited in ΛN interaction.…”

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confidence: 99%

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Λ-hyperon interaction with nucleons

et al. 2014

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We study the interaction of Λ−hyperon with proton and neutron inside a nucleus within the framework of relativistic mean field formalism. The single particle energy levels for some of the specific proton and neutron orbits are analyzed with the addition of Λ−successively. We found that the interaction of Λ with neutron is more stronger than proton.Hypernucleus provides an opportunity to enter into the strangeness world. After introducing the strangeness degree of freedom to bound nuclear system, the multibaryonic system avails Λ-nucleon (ΛN ) interaction in addition to nucleon-nucleon (NN) interaction. However, ΛN interaction is weaker than NN but it is imperative as well as important to describe the strange system. Many of the theoretical calculations have been made to give the importance of ΛN interaction and to facilitate the path toward multi-strange systems [1][2][3][4][5].The information about the hyperon-nucleon interaction especially Λp and Λn can be extracted from the hypernuclei. Due to zero isospin of Λ−hyperon, the one pion exchange is prohibited in ΛN interaction. Which means the ΛN interaction is governed by two pion exchange. In this way, ΛN − ΣN coupling plays a significant role to drive the ΛN interaction. The most interested mirror hypernuclei are 4 Λ H and 4 Λ He which reflect the difference in strength of Λp and Λn interactions. The ΛN interaction occurs via ΛN − ΣN coupling where, Λp couples to Σ + n and Λn is coupled with Σ − p [6]. Therefore, ΣN plays a role as an intermediate state to access the ΛN interaction. On the basis of this coupling, it is expected that the mass difference of Σ + − Σ − is responsible to make a difference in the strength of Λp and Λn interactions as discussed in Refs. [2,6,7]. The difference in strength of these interactions is a direct consequence of charge symmetry breaking which is observed in mirror hypernuclei [2,6,7]. It is well understood that any kinds of change take place in the interaction is directly reflected in nuclear potential as well as single-particle energy. Thus, it is very much interesting to analyze the single-particle energy or potential to study the net effect on interaction, either with the addition of Λ−hyperon or any other effects. In this work, we study the singleparticle energy as well as potentials of some medium and superheavy hypernuclei to demonstrate this mechanism by employing the relativistic mean field (RMF) formalism.Recently, the RMF theory is quite successful for studying the finite and infinite nuclear systems. Quite successful to study the equation of state (EOS) for normal as well as high dense neutron matter. Since neutron star is a compact object with nuclear density ρ = (8 − 10)ρ 0 , where ρ 0 is the nuclear matter density at saturation, so there must be the possibility of formation of strange baryon. In this context, addition of strangeness degree of freedom to RMF formalism is obvious for the suitable expansion of the model and this type of attempts have already been made [4,[8][9][10][11][12][13][14][15][16][17].The re...

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Binding energies of Λ particles and the Λ-N interaction

Cited by 52 publications

References 31 publications

AverageΛ-Nucleon Interaction in the Hypertriton

AverageΛ-Nucleon Interaction in the Hypertriton

The Hyperon Puzzle in Neutron Stars

Λ-hyperon interaction with nucleons

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