Nuclear Theory·nucl-th

Friday·August 4, 2023

5 papers—2 primary·3 cross-listed

01
[Submitted on 2 Aug 2023]
Universality of Three Identical Bosons with Large, Negative Effective Range
Harald W. Griesshammer (George Washington U.)🇺🇸 · Ubirajara van Kolck (CNRS/IN2P3 and U. of Arizona)🇫🇷
"Resummed-Range Effective Field Theory'' is a consistent nonrelativistic effective field theory of contact interactions with large scattering length $a$ and an effective range $r_{0}$ large in magnitude but negative. Its leading order is non-perturbative. Its observables are universal, i.e.~they depend only on the dimensionless ratio $ξ := 2 r_{0} / a$ , with the overall distance scale set by $∣ r_{0} ∣$ . In the two-body sector, the position of the two shallow $S$ -wave poles in the complex plane is determined by $ξ$ . We investigate three identical bosons at leading order for a two-body system with one bound and one virtual state ( $ξ \leq 0$ ), or with two virtual states ( $0 \leq ξ < 1$ ). Such conditions might, for example, be found in systems of heavy mesons. We find that no three-body interaction is needed to renormalise (and stabilise) Resummed-Range EFT at LO. A well-defined ground state exists for $0.366 \dots \geq ξ \geq - 8.72 \dots$ . Three-body excitations appear for even smaller ranges of $ξ$ around the ``quasi-unitarity point'' $ξ = 0$ ( $∣ r_{0} ∣ ≪ ∣ a ∣ \to \infty$ ) and obey discrete scaling relations. We explore in detail the ground state and the lowest three excitations and parametrise their trajectories as function of $ξ$ and of the binding momentum $κ_{2}^{-}$ of the shallowest \twoB state from where three-body and two-body binding energies are identical to zero three-body binding. As $∣ r_{0} ∣ ≪ ∣ a ∣$ becomes perturbative, this version turns into the ``Short-Range EFT'' which needs a stabilising three-body interaction and exhibits Efimov's Discrete Scale Invariance. By interpreting that EFT as a low-energy version of Resummed-Range EFT, we match spectra to determine Efimov's scale-breaking parameter $Λ_{*}$ in a renormalisation scheme with a ``hard'' cutoff. Finally, we compare phase shifts for scattering a boson on the two-boson bound state with that of the equivalent Efimov system.
Comments:
42 pages LaTeX2e (pdflatex) including 11 figures as 13 .pdf files using includegraphics; minor clarifications; text-identical to published version, but table information more unambiguously placed
Subjects:
Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas); physics.atm-clus (physics.atm-clus); Atomic Physics (physics.atom-ph); Quantum Physics (quant-ph)
arXiv:
2308.01394 [pdf]
EPJA(2023)·8 citations
02
[Submitted on 3 Aug 2023]
Separation energies of light $Λ$ hypernuclei and their theoretical uncertainties
Hoai Le🇩🇪 · Johann Haidenbauer🇩🇪 · Ulf-G. Meißner🇩🇪 · Andreas Nogga🇩🇪
Separation energies of light $Λ$ hypernuclei ( $A \leq 5$ ) and their theoretical uncertainties are investigated. Few-body calculations are performed within the Faddeev-Yakubovsky scheme and the no-core shell model. Thereby, modern and up-to-date $N N$ and $Y N$ potentials derived within chiral effective field theory are employed. % It is found that the numerical uncertainties of the few-body methods are well under control and an accuracy of around $1$ keV for the hypertriton and of less than $20$ keV for the separation energies of the $_{Λ}^{4} He$ and $_{Λ}^{5} He$ hypernuclei can be achieved. Variations caused by differences in the $N N$ interaction are in the order of $10$ keV for $_{Λ}^{3} H$ and no more than $110$ keV for $A = 4, 5$ $Λ$ hypernuclei, when recent high-precision potentials up to fifth order in the chiral expansion are employed. The variations are smaller than expected contributions from chiral $Y N N$ three-body forces (3BFs) which arise at the chiral order of state-of-the-art $Y N$ potentials. Estimates for those 3BFs are deduced from a study of the truncation uncertainties in the chiral expansion.
Comments:
17 pages, 5 figures
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2308.01756 [pdf]
EPJA(2024)·26 citations
03
[Submitted on 2 Aug 2023] (cross-list from hep-ph)
Joint Track Functions: Expanding the Space of Calculable Correlations at Colliders
Kyle Lee🇺🇸 · Ian Moult🇺🇸
The theoretical description of observables at collider experiments relies on factorization theorems separating perturbative dynamics from universal non-perturbative matrix elements. Despite significant recent progress in extending these factorization theorems to increasingly differential jet substructure observables, the focus has been primarily on infrared safe observables sensitive only to correlations in the energy of final state hadrons. However, significant information about the dynamics of the underlying collision is encoded in how energy is correlated between hadrons of different quantum numbers. In this paper we extend the class of calculable correlations by deriving factorization theorems for a broad class of correlations, $⟨ E_{R_{1}} (n_{1}) \dots E_{R_{k}} (n_{k})⟩$ , between the energy flux carried by hadrons specified by quantum numbers, $R_{1}, \dots, R_{k}$ . We show that these factorization theorems involve moments of a new class of universal non-perturbative functions, the "joint track functions", which extend the track function formalism to describe the fraction of energy carried by hadrons of multiple quantum numbers arising from the fragmentation of quarks or gluons. We study the general properties of these functions, and then apply this to the specific case of joint track functions for positive and negative electromagnetic charges. We extract these from parton shower Monte Carlo programs and use them to calculate correlations in electromagnetically charged energy flux. We additionally propose and study a C-odd $E_{Q}$ detector, which results in a qualitatively distinct scaling behavior compared to the standard energy correlators. Our formalism significantly extends the class of observables that can be computed at hadron colliders, with a wide range of applications from particle to nuclear physics.
Comments:
25 pages, 9 fancy figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2308.01332 [pdf]
35 citations
04
[Submitted on 2 Aug 2023] (cross-list from hep-ph)
Muon spin force
Yohei Ema🇺🇸 · Ting Gao🇺🇸 · Maxim Pospelov🇺🇸
Current discrepancy between the measurement and the prediction of the muon anomalous magnetic moment can be resolved in the presence of a long-range force created by ordinary atoms acting on the muon spin via axial-vector and/or pseudoscalar coupling, and requiring a tiny, $O (1 0^{- 13} eV)$ spin energy splitting between muon state polarized in the vertical direction. We suggest that an extension of the muon spin resonance ( $μ$ SR) experiments can provide a definitive test of this class of models. We also derive indirect constraints on the strength of the muon spin force, by considering the muon-loop-induced interactions between nuclear spin and external directions. The limits on the muon spin force extracted from the comparison of $^{199}$ Hg/ $^{201}$ Hg and $^{129}$ Xe/ $^{131}$ Xe spin precession are strong for the pseudoscalar coupling, but are significantly relaxed for the axial-vector one. These limits suffer from significant model uncertainties, poorly known proton/neutron spin content of these nuclei, and therefore do not exclude the possibility of a muon spin force relevant for the muon $g - 2$ .
Comments:
5 pages, 1 figure + references and supplemental material
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
arXiv:
2308.01356 [pdf]
PRD(2024)·7 citations
05
[Submitted on 2 Aug 2023] (cross-list from hep-ph)
Single inclusive particle production in pA collisions at forward rapidities: beyond the hybrid model
Tolga Altinoluk🇵🇱 · Néstor Armesto🇪🇸 · Alexander Kovner🇺🇸 · Michael Lublinsky🇮🇱
In this contribution we reconsider the calculation at next-to-leading order of forward inclusive single hadron production in $p A$ collisions within the hybrid approach. We conclude that the proper framework to compute this cross section beyond leading order is not collinear factorization as assumed so far, but the TMD factorized framework.
Comments:
LaTeX, 7 pages, contribution to DIS2023: XXX International Workshop on Deep-Inelastic Scattering and Related Subjects, Michigan State University, USA, 27-31 March 2023
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2308.01401 [pdf]
0 citations

Affiliations

first authorsco-authorsvia INSPIRE

Universality of Three Identical Bosons with Large, Negative Effective Range

Separation energies of light Λ hypernuclei and their theoretical uncertainties

Joint Track Functions: Expanding the Space of Calculable Correlations at Colliders

Muon spin force

Single inclusive particle production in pA collisions at forward rapidities: beyond the hybrid model

Affiliations

Separation energies of light $Λ$ hypernuclei and their theoretical uncertainties