Nucleon distribution amplitudes and proton decay matrix elements on the lattice

Braun, Vladimir M. and Goeckeler, Meinulf and Horsley, Roger and Kaltenbrunner, Thomas and Nakamura, Yoshifumi and Pleiter, Dirk and Rakow, Paul E. L. and Schaefer, Andreas and Schierholz, Gerrit and Stueben, Hinnerk and Warkentin, Nikolaus and Zanotti, James M. (2009) Nucleon distribution amplitudes and proton decay matrix elements on the lattice. PHYSICAL REVIEW D, 79 (3): 034504. ISSN 1550-7998,

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Abstract

Baryon distribution amplitudes (DAs) are crucial for the theory of hard exclusive reactions. We present a calculation of the first few moments of the leading-twist nucleon DA within lattice QCD. In addition we deal with the normalization of the next-to-leading (twist-four) DAs. The matrix elements determining the latter quantities are also responsible for proton decay in grand unified theories. Our lattice evaluation makes use of gauge field configurations generated with two flavors of clover fermions. The relevant operators are renormalized nonperturbatively with the final results given in the MS scheme. We find that the deviation of the leading-twist nucleon DA from its asymptotic form is less pronounced than sometimes claimed in the literature.

Item Type: Article
Uncontrolled Keywords: ELECTROMAGNETIC FORM-FACTORS; LARGE MOMENTUM-TRANSFER; QCD SUM-RULES; WAVE-FUNCTIONS; QUANTUM CHROMODYNAMICS; EXCLUSIVE PROCESSES; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; 3-QUARK OPERATORS; HIGHER TWIST;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Oct 2020 07:10
Last Modified: 07 Oct 2020 07:10
URI: https://pred.uni-regensburg.de/id/eprint/29550

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