One-loop contributions in the effective field theory for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Λ</mml:mi><mml:mi>N</mml:mi><mml:mo>→</mml:mo><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math>transition

Pérez-Obiol, Axel; Entem, D. R.; Juliá-Dı́az, B.; Parreño, A.

doi:10.1103/physrevc.87.044614

Cited by 12 publications

(19 citation statements)

References 31 publications

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“…As already motivated in Ref. [17] experimental data from the inverse reaction np → Λp would be of great value to fix the LO and NLO LECs. However, this study may guide more phenomenological approaches, giving more or less importance to the different possible transitions according to the two-pion exchanges, which are now explicitly known.…”

Section: Contact Part Of the Interactionmentioning

confidence: 91%

“…Neglecting M Λ − M N and M Σ − M Λ in the NLO potentials in momentum space of Ref. [17] we obtain their expressions in terms of a set of integrals as shown in Appendix A.1. These integrals are characteristic to the topologies and vertices of the diagrams contributing to the ΛN → N N transition.…”

Section: Potentials Neglecting Baryonic Mass Differencesmentioning

confidence: 99%

“…The expressions for the potentials in momentum space for the ΛN → N N transition as well as details of their derivations can be found in Ref. [17]. They are given for each possible diagram contributing to the transition and explicitly considering the mass differences between the Λ, the Σ and the nucleon.…”

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confidence: 99%

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Next-to-leading order effective field theory Λ N → NN potential in coordinate space

Pérez-Obiol¹,

Entem²,

Juliá-Dı́az³

et al. 2016

Nuclear Physics A

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The potential in coordinate space for the ΛN → N N weak transition, which drives the weak decay of most hypernuclei, is derived within the effective field theory formalism up to next-to-leading order. This coordinate space potential allows us to discuss how the different contributions to the potential add up at the different scales. Explicit expressions are given for each two-pion-exchange diagram contributing to the interaction. The potential is also reorganized into spin and isospin operators, and the coefficient for each operator is given in analytical form and represented in coordinate space. The relevance of explicitly including the mass differences among the baryons appearing in the two-pion-exchange diagrams is also discussed in detail.Theoretical studies of the non-mesonic weak decay amplitude were first based on one-meson-exchange (OME) models (see for example Refs. [8,9,10,11]). These models describe the long range part of the interaction through the exchange of one pion, and the shorter ranges through the exchange of heavier mesons, the η, ρ, ω, K and K * , which allow to mediate the strangeness exchange transition through weak vertices like N N K or ΛN η. With the advent of the more systematic effective field theory (EFT) formalism, and in particular with its successful description of the NN strong interaction [12,13], first steps were done in applying EFT also to the description of the non-mesonic weak decay. The EFT for the ΛN → N N potential was first studied at leading order (LO) in Refs. [14,15,16]. In Ref.[17] the EFT was further developed up to next-to-leading order (NLO), including all the possible two-pion-exchange (TPE) diagrams contributing to the transition. The potential was calculated in momentum space, and expressions in terms of master integrals were given separately for each diagram.In the present work we provide all the needed expressions in coordinate space. The different contributions to the transition potential are written in terms of 20 operational structures. Notably, a simplified version of the transition potential, obtained neglecting the baryonic mass differences of virtual baryons, provides a compelling description of the full potential. These should be readily useful for ab-initio few-body computations of the weak decay of hypernuclei [18,19,20,21].The manuscript is organized in the following way. In the beginning of Sect. 2 we review the EFT formalism used to calculate the non-mesonic weak transition. The EFT potentials up to NLO are derived in coordinate space and presented in terms of spin and isospin operators instead of diagrams. This allows us to plot for each operator the LO and the NLO potentials, and thus evaluate the magnitude of the two-pion exchanges in the ΛN → N N amplitude. The comparison is provided for each operational structure appearing in the transition potential. For the NLO, we derive approximate potentials neglecting the mass difference among the virtual baryons and compare them with the exact ones. In Sect. 3 we discuss the properties of the obtained...

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Section: Contact Part Of the Interactionmentioning

confidence: 91%

Section: Potentials Neglecting Baryonic Mass Differencesmentioning

confidence: 99%

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Next-to-leading order effective field theory Λ N → NN potential in coordinate space

Pérez-Obiol¹,

Entem²,

Juliá-Dı́az³

et al. 2016

Nuclear Physics A

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“…becomes, therefore, the dominant decay mode in hypernuclei, specially in medium and heavy hypernuclei. The weak decay of hypernuclei has been mainly studied within the frameworks of meson-exhange models [131,132] and effective field theory [133,134]. Two comprehensive reviews on the theoretical aspects of hypernuclear weak decay can be found in Refs.…”

Section: Weak Decay Of Single λ-Hypernucleimentioning

confidence: 99%

Hyperons: the strange ingredients of the nuclear equation of state

Vidaña

2018

Proc. R. Soc. A.

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In this article we will review the role and properties of hyperons in finite and infinite nuclear systems. In particular, we will revise different production mechanisms of hypernuclei, as well as several aspects of hypernuclear γ-ray spectroscopy, and the weak decay modes of hypernuclei. Then we will discuss the construction of hyperon-nucleon and hyperon-hyperon interactions on the basis of the meson-exchange and chiral effective field theories. Recent developments based on the socalled V low k approach and lattice QCD will also be adressed. Finally, we will go over some of the effects of hyperons on the properties of neutron and proto-neutron stars with an emphasis on the so-called "hyperon puzzle", i.e., the problem of the strong softening of the equation of state, and the consequent reduction of the maximum mass, induced by the presence of hyperons, a problem which has become more intringuing and difficult to solve due the recent measurements of ∼ 2M millisecond pulsars. We will discuss some of the solutions proposed to tackle this problem. We will also re-examine the role of hyperons on the cooling properties of newly born neutron stars and on the development of the so-called r-mode instability.

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“…At next to leading order (NLO) one has to consider the contribution coming from the diagrams in Fig. 3 [5]. In particular, the calculation of diagrams containing an intermediate sigma baryon requires the knowledge of the strong ΛΣπ vertex, obtained from the SU(3) strong chiral Lagrangian,…”

Section: Pos(qnp2012)138mentioning

confidence: 99%

The weak \Delta S = 1 \Lambda N interaction with effective field theory

Pérez-Obiol¹,

Parreño²,

Juliá-Dı́az³

et al. 2012

Proceedings of Sixth International Conference on Quarks and Nuclear Physics — PoS(QNP2012)

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The relation between the low energy constants appearing in the effective field theory (EFT) description of the ΛN → NN transition potential and the parameters of the one-meson-exchange model previously developed is obtained. We extract the relative importance of the different exchange mechanisms included in the meson picture by means of a comparison to the corresponding operational structures appearing in the EFT approach. Constraints on weak baryon-baryon-meson couplings for a possible scalar exchange are also discussed. This work is based on the lowest order EFT approach of Ref.[1]. Higher order contributions are sketched.

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One-loop contributions in the effective field theory for theΛN→NNtransition

Cited by 12 publications

References 31 publications

Next-to-leading order effective field theory Λ N → NN potential in coordinate space

Next-to-leading order effective field theory Λ N → NN potential in coordinate space

Hyperons: the strange ingredients of the nuclear equation of state

The weak \Delta S = 1 \Lambda N interaction with effective field theory

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