Short-range correlation physics at low renormalization group resolution

Tropiano, A. J.; Bogner, S. K.; Furnstahl, R. J.

doi:10.1103/physrevc.104.034311

Cited by 34 publications

(22 citation statements)

References 84 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nevertheless, previous studies have shown that for the case of the contacts defined in Eq. (19), contact ratios C αα (X)/C αα (Y ), for any two nuclei X and Y , are model independent [42,82,84]. In this sense, contact ratios can be interpreted as long-range, low-resolution quantities that do not depend on the details of the nuclear interaction.…”

Section: Generalized Contact Formalismmentioning

confidence: 99%

Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism

Weiss¹,

Soriano²,

Lovato³

et al. 2021

Preprint

View full text Add to dashboard Cite

We devise a framework based on the generalized contact formalism that combines the nuclear shell model and quantum Monte Carlo methods and compute the neutrinoless double-beta decay of experimentally relevant nuclei, including 76 Ge, 130 Te, and 136 Xe. In light nuclei, we validate our nuclear matrix element calculations by comparing against accurate variational Monte Carlo results. Due to additional correlations captured by quantum Monte Carlo and introduced within the generalized contact formalism, in heavier systems, we obtain long-range nuclear matrix elements that are about 30% smaller than previous shell-model results. We also evaluate the recently recognized short-range nuclear matrix element estimating its coupling by the charge-independence-breaking term of the Argonne v18 potential used in the Monte Carlo calculations. Our results indicate an enhancement of the total nuclear matrix element by around 30%.

show abstract

Section: Generalized Contact Formalismmentioning

confidence: 99%

Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism

Weiss¹,

Soriano²,

Lovato³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In Ref. [1], we showed how evolving to low resolution quantitatively accounts for short-range correlation (SRC) physics phenomenology [2][3][4][5][6][7][8][9][10][11] with a cleanly interpreted framework that enables simple yet systematically improvable approximations. More generally, RG evolution enhances scale separation and hence factorization of structure and reaction mechanisms, facilitating the extraction of process-independent quantities and correlations between observables.…”

Section: Introductionmentioning

confidence: 99%

“…where E γ is the energy of the photon. 1 The Levinger constant L is independent of energy as the cross sections have the same energy dependence, dictated by factorization of short-distance physics [1]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…where ψ k and ψ d are the in-medium pn pair and deuteron wave functions, respectively. The factor N Z/A follows 1 We suppress here a factor that accounts for Pauli blocking in the final state [14,17,18].…”

Section: Introductionmentioning

confidence: 99%

“…In Section II we provide the necessary formalism for the low-resolution treatment, building on the developments in Ref. [1]. Results are given in Section III for several nuclei and compared with experimental extractions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The quasi-deuteron model at low RG resolution

Tropiano,

Bogner,

Furnstahl

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

Background:The quasi-deuteron model introduced by Levinger is used to explain cross sections for knocking out high-momentum protons in photo-absorption on nuclei. This is within a framework we characterize as exhibiting high renormalization group (RG) resolution. Assuming a one-body reaction operator, the nuclear wave function must include two-body short-range correlations (SRCs) with deuteron-like quantum numbers. In [Tropiano et al., Phys. Rev. C 104, 034311 (2021)], we showed that SRC physics can be naturally accounted for at low RG resolution.Purpose: Here we describe the quasi-deuteron model at low RG resolution and determine the Levinger constant, which is proportional to the ratio of nuclear photo-absorption to that for photo-disintegration of a deuteron.Method: We extract the Levinger constant based on the ratio of momentum distributions at high relative momentum. We compute momentum distributions evolved under similarity RG (SRG) transformations, where the SRC physics is shifted into the operator as a universal two-body term. The short-range nature of this operator motivates using local-density approximations with uncorrelated wave functions in evaluating nuclear matrix elements, which greatly simplifies the analysis. The operator must be consistently matched to the RG scale and scheme of the interaction for a reliable extraction. We apply SRG transformations to different nucleon-nucleon (NN) interactions and use the deuteron wave functions and Weinberg eigenvalues to determine approximate matching scales.Results: We predict the Levinger constant for several NN interactions and a wide range of nuclei comparing to experimental extractions. Conclusions:The predictions at low RG resolution are in good agreement with experiment when starting with a hard NN interaction and the initial operator. Similar agreement is found using soft NN interactions when the additional two-body operator induced by evolution from hard to soft is included.

show abstract