Role of ground-state correlations in hypernuclear nonmesonic weak decay

Bauer, E.; Garbarino, G.

doi:10.1103/physrevc.81.064315

Cited by 32 publications

(60 citation statements)

References 50 publications

(71 reference statements)

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“…In the evaluation of Γ N M , and the corresponding spectra, are used the Shell Model (SM) and the Fermi Gas Model (FGM) for Γ 1 (within the two-particle phase space) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][20][21][22][23], while for Γ 2 (within the three-particle phase space) only the later model has been employed so far [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Nonmesonic Weak Decay Spectra of Light Hypernuclei

Krmpotić

2014

Few-Body Syst

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The nonmesonic weak decay spectra of light hypernuclei have been evaluated in a systematic way. As theoretical framework we adopt the independent particle shell model with three different one-meson-exchange transition potentials. Good agreement with data is obtained for proton and neutron kinetic energy spectra of 4 Λ He, and 5 Λ He, when the recoil effect is considered. The coincidence spectra of proton-neutron pairs are also accounted for quite reasonably, but it was not possible to reproduce the data for the neutron-neutron pair spectra. It is suggested that the π + K meson-exchange model with soft monopole form factors could be a good starting point for describing the dynamics responsible for the decays of these two hypernuclei. The 4 Λ H spectra are also presented.

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Section: Introductionmentioning

confidence: 99%

Nonmesonic Weak Decay Spectra of Light Hypernuclei

Krmpotić

2014

Few-Body Syst

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“…The effect of the nuclear recoil is also taken into account as a new feature of our approach, which is applied to 12 Λ C. Formally, this corresponds to implement translational invariance and exact momentum conservation in the nonmesonic decays. The same microscopic approach showed that ground state correlation contributions are crucial for a detailed calculation of the rates, the asymmetry parameter and the nucleon emission spectra [19,20,22,24]. Less pronounced effects were reported by including the ∆-baryon resonance [23].…”

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“…One should keep in mind that, by definition, the decay widths cannot contain any (final state) interaction among the weak decay nucleons [20]. Nevertheless, in our approach the strong nucleon-nucleon interaction, V N N , plays a role in the definition of the hypernuclear ground state, which, using perturbation theory up to second order in V N N , reads:…”

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confidence: 99%

“…(6). In what follows, we focus on Γ 3 (for a detailed discussion on Γ 1 and Γ 2 we refer to [19,20]), for which one obtains:…”

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confidence: 99%

“…Different measurements of single and coincidence spectra of the nucleons emitted in hypernuclear nonmesonic decay, by the SKS Collaboration at KEK [5,6] and the FINUDA Collaboration at LNF [7][8][9], their theoretical analysis and the many calculations incorporating: 1) complete meson-exchange weak interaction potentials (with both oneand two-meson exchange) [10][11][12][13], 2) the description of the ΛN and NN short-range correlations in terms of quark degrees of freedom [14], 3) twonucleon induced modes, ΛNN → nNN [15][16][17][18][19][20], as well as 4) nucleon final state interactions [21][22][23], have proven crucial to solve the "Γ n /Γ p puzzle", in a continuous dialogue and exchange between theory and experiment. The two-nucleon induced decay mechanism is rather well understood at present too, although the data on Γ 2 are still affected by large error bars.…”

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Nonmesonic weak decay of Λ hypernuclei: The ΛN−ΣN coupling

2017

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The nonmesonic weak decay of Λ hypernuclei is studied within a microscopic diagrammatic approach which is extended to include the three-nucleon induced mechanism. We adopt a nuclear matter formalism which, through the local density approximation, allows us to model finite hypernuclei, a one-meson-exchange weak transition potential and a Bonn nucleon-nucleon strong potential. One-, two-and three-nucleon induced weak decay rates are predicted for 12 Λ C by including ground state correlations up to second order in the nucleon-nucleon potential and the recoil of the residual nucleus. Three-nucleon stimulated decays, ΛN N N → nN N N (N = n or p), are considered here for the first time. The obtained decay rates compare well with the latest KEK and FINUDA data. The three-nucleon induced rate turns out to be dominated by nnp-and npp-induced decays, it amounts to ∼ 7% of the total nonmesonic rate and it is ∼ 1/2 of the neutron-induced decay rate. The reduction effect of the nuclear recoil is particularly relevant for the three-nucleon induced rates (∼ 15%), less important for the two-nucleon induced rates (∼ 4%) and negligible for the one-nucleon induced rates. Given the non-negligible size of the three-nucleon induced contribution and consequently its importance in the precise determination of the complete set of decay rates, new measurements and/or experimental analysis are encouraged. Introduction -Since the first observation of Λ hypernuclei in 1953 and the introduction of the strangeness quantum number in the same year, strange nuclei have been investigated with increasing theoretical and experimental efforts [1]. Hypernuclear physics is nowadays a mature field of research which in many aspects is located at the crossroads between particle and nuclear physics. It implies important connections with QCD [2] -consider the relevance of the production of hypernuclei and anti-hypernuclei in relativistic heavy-ion collisions and the possible extension of the usual techniques of lattice QCD, effective field theories and chiral perturbation theory to the baryon-baryon interactions in the strange sector-as well as with astrophysical processes and observables [3], where it provides important inputs to study the thermal evolution, the stability, the macroscopic properties and the composition of compact astrophysical objects, including the so-called "hyperon puzzle" in neutron stars.

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Recent Achievements in Hypernuclear Physics

Feliciello

2013

Few-Body Syst

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Role of ground-state correlations in hypernuclear nonmesonic weak decay

Cited by 32 publications

References 50 publications

Nonmesonic Weak Decay Spectra of Light Hypernuclei

Nonmesonic Weak Decay Spectra of Light Hypernuclei

Nonmesonic weak decay of Λ hypernuclei: The ΛN−ΣN coupling

Recent Achievements in Hypernuclear Physics

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