When A “Long” Poem is a “Big” Poem

Friedman, Susan Stanford

doi:10.1007/978-1-349-14428-0_42

Cited by 2 publications

(3 citation statements)

References 8 publications

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“…Finally we comment that the results and conclusions reached in the present update hold valid also when the 'deeply bound' states (DBS) in 205 Pb and in 115,119,123 Sn are removed from the large-scale fits of pionic atoms described here. This agrees with earlier conclusions reached by us [3,22,23] where it was shown that the uncertainties in the derived value of b 1 from DBS, or from DBS plus 1s states in light N = Z nuclei, are considerably larger than those derived from large-scale fits (about 0.004 m −1 π , see Figs. 2 and 3).…”

Section: Summary and Discussionsupporting

confidence: 93%

“…On the other hand, owing to the rather smooth energy dependence of the free-space πN interaction, such tests may not prove sufficiently sensitive to the fine details of the in-medium πN interaction even though they do provide acceptable support for the validity of the algorithm. It is therefore encouraging that the fits to pionic atom data reported here do preserve and even somewhat improve the existing level of agreement with the data, reaffirming earlier conclusions on the in-medium renormalization of the πN interaction [16,17,18,19,20,21,22,23,24,25,26,27].…”

Section: Introductionsupporting

confidence: 87%

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Testing in-medium πN dynamics on pionic atoms

Friedman

Gal

2014

Nuclear Physics A

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A general algorithm for handling the energy dependence of meson-nucleon amplitudes in the nuclear medium has been recently applied to antikaons and to eta mesons. Here we test this approach on πN amplitudes in pionic atoms where direct comparison can be made with ample experimental results. Applying this algorithm to a large-scale fit of 100 pionic-atom data points across the periodic table, which also include the 'deeply-bound' states in Sn and Pb, reaffirms earlier conclusions on the density-dependent renormalization of the πN threshold isovector amplitude b 1 , or equivalently the renormalization of the pion decay constant f π in the nuclear medium.Keywords: pion-nucleon in-medium interaction, energy dependence, pionic atoms DedicationThis contribution is dedicated to the memory of Gerry Brown who has charted and shaped up the frontiers of Nuclear Physics for half a century. Gerry commissioned our two past reviews on exotic atoms [1,2], realizing the potential of exotic atoms to provide hints and constraints on chiral signatures in dense matter. A brief update of our work on exotic atoms appeared in the 85th birthday Festschrift in honor of Gerald E Brown, From Nuclei to Stars, published in 2011 [3]. Here we revisit pionic atoms, a subject to which he made significant contributions in the 1970s.

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Section: Summary and Discussionsupporting

confidence: 93%

Section: Introductionsupporting

confidence: 87%

Testing in-medium πN dynamics on pionic atoms

Friedman

Gal

2014

Nuclear Physics A

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“…(5) figures directly in the pion-nucleus s-wave near-threshold potential. Studies of pionic atoms [27,28,29,30,31,32,33,34,35,36] and low-energy pion-nucleus scattering [37,38] confirmed that the πN isovector s-wave interaction term is indeed renormalized in agreement with Eq. (5).…”

Section: Introductionmentioning

confidence: 83%

The pion-nucleon σ term from pionic atoms

Friedman

Gal

2019

Physics Letters B

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Earlier work suggested that the in-medium πN threshold isovector amplitude b 1 (ρ) gets renormalized in pionic atoms by ∼ 30% away from its ρ = 0 freespace value, relating such renormalization to the leading low-density decrease of the in-medium quark condensate and the pion decay constant f π in terms of the pion-nucleon σ term σ πN . Accepting the validity of this approach, we extracted σ πN from a large-scale fit of pionic-atom level shift and width data across the periodic table. Our fitted value σ πN = 57 ± 7 MeV is robust with respect to variation of πN interaction terms other than the isovector s-wave term with which σ πN was associated. Higher order corrections to the leading order in density involve some cancellations, suggesting thereby only a few percent overall systematic uncertainty. The value of σ πN derived here agrees with values obtained in several recent studies based on near-threshold πN phenomenology, but sharply disagrees with values obtained in recent direct lattice QCD calculations.

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When A “Long” Poem is a “Big” Poem

Cited by 2 publications

References 8 publications

Testing in-medium πN dynamics on pionic atoms

Testing in-medium πN dynamics on pionic atoms

The pion-nucleon σ term from pionic atoms

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