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Related papers: The Roper Resonance in a finite volume

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The various dynamical scales below the pion mass involved in $\pi^{+}$ $\pi^{-}$ atoms are sequentially integrated out using non-relativistic effective field theory techniques. This allows us to systematically organise the corrections to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Eiras , J. Soto

We examine the importance of resonances for the non-leptonic hyperon decays in the framework of chiral perturbation theory. Lower lying resonances are included into the effective theory. Integrating out the heavy degrees of freedom in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Borasoy , B. R. Holstein

We study the threshold production of two pions induced by neutrinos in nucleon targets. The contribution of nucleon pole, pion and contact terms is calculated using a chiral Lagrangian. The contribution of the Roper resonance, neglected in…

High Energy Physics - Phenomenology · Physics 2009-10-08 M. Valverde , J. Nieves , E. Hernández , S. K. Singh , M. J. Vicente Vacas

We consider the chiral Lagrangian with nucleon, isobar, and pion degrees of freedom. The baryon masses and the axial-vector form factor of the nucleon are derived at the one-loop level. We explore the impact of using on-shell baryon masses…

High Energy Physics - Lattice · Physics 2020-10-28 Matthias F. M. Lutz , Ulrich Sauerwein , Rob G. E. Timmermans

We study the finite temperature properties of an effective chiral Lagrangian which describes nuclear matter. Thermal fluctuations in both the nucleon and the meson fields are considered. The logarithmic and square root terms in the…

Nuclear Theory · Physics 2009-10-30 G. W. Carter , P. J. Ellis

We develop a scheme for the extraction of the properties of the scalar mesons $f_0(600)$, $f_0(980)$, and $a_0(980)$ from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in…

High Energy Physics - Lattice · Physics 2011-08-22 E. Oset , M. Doring , U. G. Meissner , A. Rusetsky

Properties of the Roper resonance, the first scalar excitation of the nucleon, are determined. Pole positions and residues of the $P_{11}$ partial wave are studied in a combined analysis of pion- and photo-induced reactions. We find the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Sarantsev

The chiral Lagrangian describing the low-energy behavior of N_f=2+1+1 twisted mass lattice QCD is constructed through O(a^2). In contrast to existing results the effects of a heavy charm quark are consistently removed, leaving behind a…

High Energy Physics - Lattice · Physics 2014-09-05 Oliver Baer , Ben Horz

We calculate the finite volume corrections to meson masses and decay constants in two and three flavour Chiral Perturbation Theory to two-loop order. The analytical results are compared with the existing result for the pion mass in…

High Energy Physics - Lattice · Physics 2015-06-23 Johan Bijnens , Thomas Rössler

The Chiral Confining Lagrangian, based on the chiral theory with quark degrees of freedom, is used to study the spectroscopy of scalar mesons. The formalism does not contain arbitrary fitting parameters and takes into account infinite…

High Energy Physics - Phenomenology · Physics 2020-06-24 M. S. Lukashov , Yu. A. Simonov

We have measured the valence pion mass and the valence chiral condensate on lattice configurations generated with and without dynamical fermions. We find that our data and that of others is well represented by a linear relationship between…

High Energy Physics - Lattice · Physics 2009-10-28 Robert D. Mawhinney

We study the $\pi \pi N$ system by solving the Faddeev equations, for which the input two-body $t$-matrices are obtained by solving the Bethe-Salpeter equation in the coupled channel formalism. The potentials for the $\pi \pi$, $\pi N$…

Nuclear Theory · Physics 2008-11-26 K. P. Khemchandani , A. Martínez Torres , E. Oset

The low-lying even-parity states of the nucleon are explored in lattice QCD using the PACS-CS collaboration 2+1-flavor dynamical-QCD gauge-field configurations made available through the International Lattice Datagrid (ILDG). The…

High Energy Physics - Lattice · Physics 2012-01-16 M. Selim Mahbub , Waseem Kamleh , Derek B. Leinweber , Peter J. Moran , Anthony G. Williams

We evaluate the coefficients of the effective chiral Lagrangian to $O(p^4)$ in the strong coupling, large-N expansion. In this limit we explicitly perform the functional integral over fundamental degrees of freedom and obtain the effective…

High Energy Physics - Lattice · Physics 2009-10-22 Stanley Myint , Claudio Rebbi

In recent years, detailed studies of three-pion systems have become possible in lattice QCD. This has in turn led to interest in 3-to-3 scattering of pions in the chiral perturbation theory framework. In addition to being an interesting…

High Energy Physics - Phenomenology · Physics 2023-10-12 Jorge Baeza-Ballesteros , Johan Bijnens , Tomáš Husek , Fernando Romero-López , Stephen R. Sharpe , Mattias Sjö

We derive the long-range components of the nucleon-nucleon (NN) two-pion-exchange potential with an intermediate Roper resonance. Leading-order interactions in heavy-baryon chiral perturbation theory are considered. NN phase shifts with…

Nuclear Theory · Physics 2026-03-02 Yang Xiao , Li-Sheng Geng , U. van Kolck

We present results for the first positive parity excited state of the nucleon, namely, the Roper resonance ($N^{{{1/2}}^{+}}$=1440 MeV) from a variational analysis technique. The analysis is performed for pion masses as low as 224 MeV in…

High Energy Physics - Lattice · Physics 2009-09-28 M. S. Mahbub , Alan Ò Cais , Waseem Kamleh , Ben G. Lasscock , Derek B. Leinweber , Anthony G. Williams

We study excited states of the nucleon in quenched lattice QCD with the spectral analysis using the maximum entropy method. Our simulations are performed on three lattice sizes $16^3\times 32$, $24^3\times 32$ and $32^3\times 32$, at…

High Energy Physics - Lattice · Physics 2009-11-10 K. Sasaki , S. Sasaki , T. Hatsuda , M. Asakawa

We report a first principle lattice calculation of the pion electric polarizability $\alpha_\pi$ at the physical pion mass. First, we derive the master formula, which relates the pion polarizabilities with the position space hadronic…

High Energy Physics - Lattice · Physics 2022-01-06 Xu Feng , Taku Izubuchi , Luchang Jin , Maarten Golterman

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the energy spectrum in the centre-of-mass frame…

High Energy Physics - Lattice · Physics 2020-03-17 Felix Erben , Jeremy R. Green , Daniel Mohler , Hartmut Wittig