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Spectral analysis for nucleon-pion and nucleon-pion-pion states in both parity sectors using distillation with domain-wall fermions
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We present a study using the distillation method to analyze the spectra of nucleon, nucleon-pion, and nucleon-pion-pion states in the positive-parity sector, as well as nucleon and nucleon-pion states in the negative-parity sector. The study uses seven domain-wall fermion ensembles with varying pion masses (
m
π
=
139
–
279
MeV
), lattice spacings (
a
−
1
=
1.730
GeV
and
a
−
1
=
2.359
GeV
) and volumes (
m
π
L
=
3.8
–
7.5
). To address the large number of contractions in this project, we implemented an algorithm to automate the contraction of nucleon-pion correlation functions that contain an arbitrary number of pions. In the positive-parity sector, we extrapolate the nucleon mass to the physical point. This study demonstrates the effectiveness of the distillation method for baryonic quantities with a focus on multihadronic states and establishes a foundation for future work.
Title: Spectral analysis for nucleon-pion and nucleon-pion-pion states in both parity sectors using distillation with domain-wall fermions
Description:
We present a study using the distillation method to analyze the spectra of nucleon, nucleon-pion, and nucleon-pion-pion states in the positive-parity sector, as well as nucleon and nucleon-pion states in the negative-parity sector.
The study uses seven domain-wall fermion ensembles with varying pion masses (
m
π
=
139
–
279
MeV
), lattice spacings (
a
−
1
=
1.
730
GeV
and
a
−
1
=
2.
359
GeV
) and volumes (
m
π
L
=
3.
8
–
7.
5
).
To address the large number of contractions in this project, we implemented an algorithm to automate the contraction of nucleon-pion correlation functions that contain an arbitrary number of pions.
In the positive-parity sector, we extrapolate the nucleon mass to the physical point.
This study demonstrates the effectiveness of the distillation method for baryonic quantities with a focus on multihadronic states and establishes a foundation for future work.
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