Jastrow functions in double-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math>decay

Engel, J.; Carlson, J.; Wiringa, R. B.

doi:10.1103/physrevc.83.034317

Cited by 19 publications

(25 citation statements)

References 18 publications

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“…Despite being a twonucleon quantity, g NN ν cannot be described by a modification of the NN potential itself which, in this example, is already correctly renormalized. Likewise, g NN ν is not part of the so-called "shortrange correlations" [7,[48][49][50][51], if the latter are intended to describe nucleon correlations missed in approaches built on independent-particle states. As we have seen, g NN ν is needed even when we use fully correlated wavefunctions, which are exact solutions of the Schrödinger equation.…”

Section: The Problems Of the Leading-order Neutrino Potentialmentioning

confidence: 99%

Renormalized approach to neutrinoless double- β decay

et al. 2019

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The process at the heart of neutrinoless double-beta decay, nn → pp e − e − induced by a light Majorana neutrino, is investigated in pionless and chiral effective field theory. We show in various regularization schemes the need to introduce a short-range lepton-numberviolating operator at leading order, confirming earlier findings. We demonstrate that such a short-range operator is only needed in spin-singlet S-wave transitions, while leading-order transitions involving higher partial waves depend solely on long-range currents. Calculations are extended to include next-to-leading corrections in perturbation theory, where to this order no additional undetermined parameters appear. We establish a connection based on chiral symmetry between neutrinoless double-beta decay and nuclear charge-independence breaking induced by electromagnetism. Data on the latter confirm the need for a leadingorder short-range operator, but do not allow for a full determination of the corresponding lepton-number-violating coupling. Using a crude estimate of this coupling, we perform ab initio calculations of the matrix elements for neutrinoless double-beta decay for 6 He and 12 Be. We speculate on the phenomenological impact of the leading short-range operator on the basis of these results.

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Section: The Problems Of the Leading-order Neutrino Potentialmentioning

confidence: 99%

Renormalized approach to neutrinoless double- β decay

et al. 2019

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“…As pointed out in Ref. 41) , care must be taken to apply the prescription consistently, not just simply by replacing the neutrino potential H(r) → H(R + (r)). In Refs.…”

Section: Decays Mediated By the Heavy Particle Exchangementioning

confidence: 99%

Nuclear structure and double beta decay

Vogel

2012

J. Phys. G: Nucl. Part. Phys.

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Study of the neutrinoless double beta decay, 0νββ, includes a variety of problems of nuclear structure theory. They are reviewed here. The problems range from the mechanism of the decay, i.e. exchange of the light Majorana neutrino neutrino vesus the exchange of some heavy, so far unobserved particle. Next, the proper expressions for the corresponding operator are described that should include the effects of the nucleon size and of the recoil order terms in the hadronic current. The issue of proper treament of the short range correlations, in particular for the case of the heavy particle exchange, is discussed also. The variety of methods employed these days in the theoretical evaluation of the nuclear matrix elements M 0ν is briefly described and the difficulties causing the spread and hence uncertainty in the values of M 0ν are discussed. Finally, the issue of the axial current quenching, and of the resonance enhancement in the case of double electron capture are described.

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“…We stress that the correlation functions cannot be considered as universal [29]. They depend for example on the choices made with regard to the nucleonnucleon interaction, the single-particle basis, and the manybody approximation scheme.…”

Section: Pair Center-of-mass Momentum Distributionsmentioning

confidence: 99%

“…A symmetric correlation operator G can be applied to the IPM wave function of Eq. (10) in order to obtain a realistic ground-state wave function [15,[28][29][30] …”

Section: Pair Center-of-mass Momentum Distributionsmentioning

confidence: 99%

Factorization of exclusive electron-induced two-nucleon knockout

et al. 2014

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We investigate the factorization properties of the exclusive electroinduced two-nucleon knockout reaction A(e,e pN). A factorized expression for the cross section is derived and the conditions for factorization are studied. The A(e,e pN) cross section is shown to be proportional to the conditional center-of-mass (c.m.) momentum distribution for close-proximity pairs in a state with zero relative orbital momentum and zero radial quantum number. The width of this conditional c.m. momentum distribution is larger than the one corresponding with the full c.m. momentum distribution. It is shown that the final-state interactions (FSIs) only moderately affect the shape of the factorization function for the A(e,e pN) cross sections. Another prediction of the proposed factorization is that the mass dependence of the A(e,e pp) [A(e,e pn)] cross sections is much softer than[NZ].

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Jastrow functions in double-βdecay

Cited by 19 publications

References 18 publications

Renormalized approach to neutrinoless double- β decay

Renormalized approach to neutrinoless double- β decay

Nuclear structure and double beta decay

Factorization of exclusive electron-induced two-nucleon knockout

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